Please Help! A pair of equations is shown below. x + y = 2 y = one halfx + 5 If the two equations are graphed, at what point do the lines representing the two equations intersect? (4, −2) (−2, 4) (2, 5) (5, −2)

Answers

Answer 1

Answer:

(-2,4)

Step-by-step explanation:

First, put x+y=2 into slope-intercept form: y=-x+2

Second, set the to equations equal to each other: -x+2=1/2x+5

Then, add x to both sides: -x+x+2=1/2x+x+5 to get: 2=3/2x+5

Next, subtract 5 from both sides: 2-5=3/2x+5-5, to get -3=3/2x

Finally, to get the x-value, divide both sides by 3/2: -3(2/3)=3/2x(2/3), to get x=-2

Lastly, substitute -2 for x into one of the equations to find y:

x+y=2

-2+y=2

add 2 to both sides: -2+2+y=2+2, to get y=4

The solution is (-2,4)

Answer 2

Answer:

(- 2, 4 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

y = [tex]\frac{1}{2}[/tex] x + 5 → (2)

Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)

x + [tex]\frac{1}{2}[/tex] x + 5 = 2 ( multiply through by 2 to clear the fraction )

2x + x + 10 = 4

3x + 10 = 4 ( subtract 10 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

Substitute x = - 2 into (1) and evaluate for y

- 2 + y = 2 ( add 2 to both sides )

y = 4

Solution is (- 2, 4 )


Related Questions

Please help me.. please..

Answers

Answer:

i believe it's b

Step-by-step explanation:

i haven't seen a question like this is a while so i'm sorry if it's wrong

Answer:

B.

Step-by-step explanation:

x < 3 will be graphed as an empty circle at positive 3, with the line extending infinitely to the left of the circle.

x ≥ 5 will be graphed as a solid circle at positive 5, with the line extending infinitely to the right of the circle.

The two statements are best represented by graph B.

Hope this helps!

Find a positive real number such that its square is equal to 14 times the number, increased by 240.

Answers

Answer:

Step-by-step explanation:

Let's call the "positive real number" X.

Basically, the question is  a riddle asking for the "solution" to 14x+240=x²

Figure that out, and

The answer is 24.

The correct answer is 24.

Find the value of x
A. 5.5
B. 6.6
C. 1.1
D. 8.8

Answers

The total value of x is D

Answer:

b

Step-by-step explanation:

¿por qué no está definida la raíz de índice par de un número negativo?

Answers

Answer:

Porque se convierte en positivo cada vez que haces la raíz cuadrada.

Surface Area of Triangular Prism
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.

PLEASE HELP ME!!!

Answers

Answer: 247 square cm

===================================================

Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

What is the answer I need help

Answers

Answer:

B

Step-by-step explanation:

There is a difference of 2 between consecutive odd integers.

let n , n + 2 and n + 4 be the 3 consecutive odd integers, then

n + n + 2 + n + 4 = 87 , that is

3n + 6 = 87 ( subtract 6 from both sides )

3n = 81 ( divide both sides by 3 )

n = 27, n + 2 = 27 + 2 = 29, n + 4 = 27 + 4 = 31

Thus

The 3 consecutive odd integers are 27, 29, 31 → B

Help please!!!!!thxxxx

Answers

Answer:

144

Step-by-step explanation:

An angle of a regular pentagon is of 180(5-2)/5=108°

and that all the sides are equal so angle MNL=108/3=36

then MNK=180-MNL=180-36=144

I don't know if you understand this but it's hard to work without more points :)

There is a strong positive linear correlation between rainfall and the number of apples a tree produces.

Answers

Answer: C. Yes, this means more rainfall causes apple trees to produce more fruit.

Step-by-step explanation:

A positive correlation exists when one variable increases as the other variable increases.

Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the a production of apple fruit.Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.

Yes, this means more rainfall causes apple trees to produce more fruit.

We have given that,

There is a strong positive linear correlation between rainfall and the number of apples a tree produces.

When does the positive correlation exist?

A positive correlation exists when one variable increases as the other variable increases.

Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the production of apple fruit. Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.

Option C is correct.

Yes, this means more rainfall causes apple trees to produce more fruit.

To learn more about the correlation visit:

https://brainly.com/question/4219149

#SPJ2

5x + 9 = 5 + 3x : solve

Answers

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[tex]5x - 9 = 5 - 3x[/tex]

[tex]5x - 3x = 5 - 9[/tex]

[tex]2x = -4[/tex]

[tex]X = \frac{-4}{2} = -2[/tex]

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Question 7(Multiple Choice Worth 1 points)
(06.02 MC)
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of n?
40nt in
43n in
O
100nt in
108n in

Answers

Hey there! I'm happy to help!

I assume that n is supposed to be π. To find the volume of a cone, you multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find the area of a circle, you square the radius and multiply by π.

5²=25

And we multiply by π.

25π

Now we multiply by the height.

25π×13=325π

We divide by three.

325π/3≈108π

Therefore, the answer is 108π in.

Have a wonderful day! :D

Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was 11.0475. A 2-column table with 4 rows titled Brian's Activity time (hours). Column 1 has entries hiking, mountain biking, horseback riding, cross-country skiing. Column 2 has entries 3, 1.45, 1.2, 0.75. Rounding to the nearest whole number, determine whether Brian’s product is reasonable. Round Brian’s average speed to . Round the activity time to . Was Brian’s product reasonable?

Answers

Answer:

15

1

yes

Step-by-step explanation:

took the thingy on edge 2020

Answer:

agree with the other person

Step-by-step explanation:

Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs.

Answers

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

4.05 LC)
The graph shows y as a function of x:
y
Q
P
R
S
In which segment is the function decreasing?

A) P
B) Q
C) R
D) S

Answers

Answer:

r

Step-by-step explanation:

we know this because it is the only part of the graph that is moving downwards, meaning its decreasing. P is an example of increasing, Q is 'neutral' and s is also increasing.

please help with q 3, 4, 5 thnx!

Answers

Answer:

3. 7/12.

4. 7/5.

5. 1.

Step-by-step explanation:

The slope of a line can be obtained by taking the ratio of change in y-coordinate to that of x-coordinate. Mathematically, it is expressed as:

Slope = Δy /Δx

Δy = y2 – y1

Δx = x2 – x1

With the above formula in mind, let us answer the questions given above.

3. Point => (–8, –2) (4, 5)

x1 = –8

x2 = 4

Δx = x2 – x1

Δx = 4 – –8

Δx = 4 + 8

Δx = 12

y1 = –2

y2 = 5

Δy = y2 – y1

Δy = 5 – – 2

Δy = 5 + 2

Δy = 7

Slope = Δy /Δx

Slope = 7/12

4. Point => (3, –5) (8, 2)

x1 = 3

x2 = 8

Δx = 8 – 3

Δx = 5

y1 = –5

y2 = 2

Δy = y2 – y1

Δy = 2 – – 5

Δy = 2 + 5

Δy = 7

Slope = Δy /Δx

Slope = 7/5

5. Point => (–4, –5) (4, 3)

x1 = –4

x2 = 4

Δx = x2 – x1

Δx = 4 – –4

Δx = 4 + 4

Δx = 8

y1 = –5

y2 = 3

Δy = y2 – y1

Δy = 3 – – 5

Δy = 3 + 5

Δy = 8

Slope = Δy /Δx

Slope = 8/8

Slope = 1

Factor 2x2+5x+2 please

Answers

Answer:

Step 1: 4

Step 2: 4 and 1

Step 3: 2x² + 4x + x + 2

Step 4: (2x² + 4x) + (x + 2)

Step 5: 2x(x + 2) + 1(x + 2)

Step 6: (x + 2)(2x + 1)

Step-by-step explanation:

find three examples of corporate logos. do they incorporate symmetry? if so, and what kind? your response should be 3-5 sentences long

Answers

Answer:

Symmetry is the property of an object to retain its shape even if it is turned or turned.

The three corporate logos are McDonald, Shell, Snapcaht

McDonald company logo is symmetrical and it is a reflective symmetry.

Shell logo is symmetrical and it is also reflective symmetry.

Snaphcat logo is symmetrical and it is also reflective symmetry.

Which of the following numbers can be expressed as decimals that terminate? 5 over 2, 4 over 5, 2 over 7, 4 over 3

Answers

Answer:

5/2, 4/5 are terminating decimals

Step-by-step explanation:

5/2 = 2.5  this is a terminating decimal

4/5 = .8 this is a terminating decimal

2/7 = .285714(repeating)  This is a repeating decimal

4/3 = 1.3(repeating)  this is a repeating decimal

Answer:

Hey There!!

4/5 and 5/2 are your answers!

Step-by-step explanation

(sec A + tan A) (1 - sin A) = cos A prove​

Answers

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

(sec(A) + tan(A)) (1 - sin(A)) = cos(A)

Write secant as 1/cosine and tangent as sine/cosine:

(1 - sin(A)) (1/cos(A) + sin(A)/cos(A)) = ^?cos(A)

Put 1/cos(A) + sin(A)/cos(A) over the common denominator cos(A): 1/cos(A) + sin(A)/cos(A) = (sin(A) + 1)/cos(A):

(sin(A) + 1)/cos(A) (1 - sin(A)) = ^?cos(A)

Multiply both sides by cos(A):

(1 - sin(A)) (sin(A) + 1) = ^?cos(A)^2

(1 - sin(A)) (sin(A) + 1) = 1 - sin(A)^2:

1 - sin(A)^2 = ^?cos(A)^2

cos(A)^2 = 1 - sin(A)^2:

1 - sin(A)^2 = ^?1 - sin(A)^2

The left hand side and right hand side are identical:

Answer: (identity has been verified)

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Let's do this step by step.

Prove that sec A ( 1 - sin A) ( sec A + tan A) = 1

Solving L.H.S

sec A ( 1 - sin A) ( sec A + tan A)

[tex]= \frac{1}{cos A} ( 1 - sin A ) ( \frac{1}{cos A} + \frac{sin A }{cos A})[/tex]

[tex]= \frac{(1 - sin A)}{cos A} ( \frac{1 + sin A }{cos A })[/tex][tex]= \frac{( 1 - sin A)( 1 + sin A)}{cos A X cos A}[/tex]

We know that [tex]( a - b) ( a + b) = a^2 - b^2[/tex]

[tex]= \frac{( 1^2 - sin^2 A)}{cos^2 A}[/tex]

[tex]= \frac{( 1 - sin^2 A)}{cos^2 A}[/tex]

[tex]= \frac{cos^2 A}{cos^2 A}[/tex]                         [tex]| cos^2 A + sin^2 A = 1 | cos^2 A = 1 - sin^2 A |[/tex][tex]1 - sin^2 A = cos^2 A[/tex]

[tex]= 1[/tex]

[tex]= R . H. S[/tex]

Thus, L.H.S = R.H.S

Hence proved.

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Hope this helped you.

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❀*May*❀

Dan believes he can use the information given in the diagram and the SAS rule to prove the two triangles are congruent. Is he correct? Explain.

Answers

Answer:

Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.

Find the missing side. Round to the nearest tenth. Will give Brainliest.

Answers

Answer:

Answers are below.

Step-by-step explanation:

Sin θ = Opposite / Hypotenuse

Cos θ = Adjacent / Hypotenuse

Tan θ = Opposite / Adjacent

1) sin (60) = 16/x

x = 16/(sin 60)

x ≈ 18.46

2) cos (45) = x/13

13 cos(45) = x

x ≈ 9.19

3) tan (53) = 10/x

x = 10/tan(53)

x ≈ 7.54

4) tan (21) = x/12

12 tan(21) = x

x ≈ 4.61

Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?

Answers

Answer:

Height of flagpole before it fell = 5.15 m

Step-by-step explanation:

Given:

Height of remain pole (p) = 1.7 m

Distance from base (b) = 3 m

Find:

Height of flagpole before it fell

Computation:

Using Pythagorean theorem

H = √ p² + b

Length of broken part = √ 1.7² + 3²

Length of broken part = √ 2.89 + 9

Length of broken part = √ 11.89

Length of broken part = 3.45 (Approx)

Height of flagpole before it fell = Length of broken part + Height of remain pole

Height of flagpole before it fell = 3.45 + 1.7

Height of flagpole before it fell = 5.15 m

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

x=10 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + ( sqrt(200) )^2 = (sqrt(300))^2

x^2 +200 = 300

Subtract 200 from each side

x^2 +200-200 = 300-200

x^2 = 100

Take the square root of each side

sqrt(x^2) = sqrt(100)

x = 10

what is a width of a rectangle prisim if the volume is 50046 cm 3 the hight is 7 cm and the llength is 13 cm

Answers

Answer:

2383.14286

Step-by-step explanation:

The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!

The area of a rectangle can be expressed by 2x2 – 7x – 4. If the rectangle has an
area of 45, find the positive value for x.

Answers

Answer:

7

Step-by-step explanation:

2x^2 - 7x - 4 = 45

2x^2 - 7x - 49 = 0 : subtract 45 from both sides

Quadratic formula:

  x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4

  x = (7 ± sqrt(49 - -392)) / 4

  x = (7 ± sqrt(441)) / 4

  x = (7 ± 21) / 4

  x = (7 + 21) / 4 OR x = (7 - 21) / 4

  x = 28 / 4 OR x = -14 / 4

  x = 7 as it is the only positive answer

How do u do this please help WILL GIVE BRAINLIEST

Answers

Answer: x = 9[tex]\sqrt{2\\}[/tex], y =18

Step-by-step explanation:

cuz

help me plz i will give brainlest

Answers

Answer:

32

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2 and 40 is c^2 so we would do 40^2-24^2=b^2 so 1600-576 is 1024 and the square root of 1024 is 32 so b would be 32

Answer:

34

Step-by-step explanation:

Given:

a=24

c=40

Required:

b=?

Formula:

[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]

Solution:

[tex]a {}^{2} + b {}^{2} = c {}^{2} = (24) {}^{2} + b {}^{2} = (40) {}^{2} = 576 + b {}^{2} = 1600 = b {}^{2} = 1600 - 576 = 1024 = b {}^{2} = 1024 = \sqrt{ {b}^{2} } = \sqrt{1024} = 34 [/tex]

Hope this helps ;) ❤❤❤

If ONE PAIR of opposite sides of a quadrilateral are BOTH parallel and congruent, the quadrilateral is a parallelogram. a TRUE b FALSE

Answers

Answer:

a. TRUE.

Step-by-step explanation:

If the pair of opposite sides are both parallel and congruent, the other two sides will have to fit in between the two lines. That will make the other two sides both parallel and congruent, so the quadrilateral is a parallelogram.

Answer:

a. True

Step-by-step explanation:

A parallelogram is a quadrilateral. A parallelogram has two pairs of opposite parallel sides. The opposite parallel sides are equal in length and are congruent.

PLEASE HELP 30 POINTS!! What is the solution to the system of equations below? y = negative one-third x + 9 and y = two-thirds x minus 12 (21, 2) (21, –10) (–21, 16) (–21, –26)

Answers

Answer:

(21, 2)

Step-by-step explanation:

set equations equal to each other because they both equal y.

-1/3x + 9 = 2/3 x - 12

combine like terms by adding 1/3x and 12 to both sides.

21 = x

plug x in.

y = -1/3(21) + 9

y = -7 + 9

y = 2

check with other equation.

y = 2/3(21) - 12

y = 14 - 12

y = 2

solution: (21, 2)

hope this helps :)

Answer:

(21,2)

Step-by-step explanation:

took the quiz on edge

hey loves, can any of you lovely people help me with this question?

Answers

Answer:

(c) the supplements of congruent angles are congruent.

Step-by-step explanation:

Since JKL and JLK are respectively the supplements of angles 3 and 4, we can use the justification

(c) the supplements of congruent angles are congruent.

Answer:

The answer will be C

Step-by-step explanation:

It will not be HL theorem nor SAS postulate so that gives you with C and D. Now D is incorrect because those angles arent complementary

The sum of two even consecutive integers is −46. If the smaller integer is divided by 4 and the larger integer is increased by 11, what is the product of the two resulting integers? PLEASE HELP!!!

Answers

Answer is 66.

I hope it will help you:)

Answer:

= 66

Step-by-step explanation:

The two integers are -22 and -24, because they are both even and consecutive, and adding them equals -46.

-24 divided by 4 is -6, and -22 plus 11 is -11

Now all we have to do is find the product (multiply  -11 and -6)

And this gives us the answer: 66

Other Questions
Chapter: Simple linear equations (Answer in steps) HELPPPP PLEASEEEEEEEEE Select the correct answer. Which sentence is in passive voice? A. The sun beat down on the thirsty travelers. B. Carla went to the supermarket to get some supplies. C. Jason baked a cake for his brother. D. These cookies will be eaten by my neighbors kids. Sandra y Roberto, cada uno de ellos con una copia del libro, deciden que ellos pueden ganar tiempo "leyendo en equipo" la novela. En este esquema, Sandra leer desde la pgina 1 hasta una cierta pgina y Roberto leer desde la pgina siguiente hasta la pagina 760. Cuando ellos hayan terminado cada uno contar la parte que ley al otro. Cul es la ltima pgina que Sandra debera leer de tal manera que ella y Roberto pasen la misma cantidad de tiempo leyendo la novela? The Fertile Crescent includes parts of Iraq, _____ and Israel.A. Saudi ArabiaB. SyriaC. JordanD. Iran t the end of the past month the cash account of a company had an ending balance of $6750. During the last month, the account was debited for a total of $11,350 and credited for a total of $10,500. What was the balance in the Cash account at the beginning of last month? Using the order of operations, what should be done first to evaluate 6 squared + 10 divided by (negative 5) (3) minus 5?A.Subtract 5 from 3.B.Divide 10 by 5.C.Add 6 and 10.D.Evaluate 6 squared. What is procrastination? Which list is in order from least to greatest Las manzanas son __________ y verdes. Longevo, a watch manufacturing company, offers watches in a wide range of designs to suit all age groups. To adequately cover its wide and diversified consumer base, the company makes use of all the traditional and new age media platforms for its promotions. The promotional strategy used by Longevo is _____. Who painted the image above? A business entity operated and taxed like a partnership, but with limited liability for the owners, is called a: Combine like terms: 10 + 6y + 2x - 3 Estimate the radiation pressure due to a bulb that emits 25 W of EM radiation at a distance of 6.5 cm from the center of the bulb. Assume that light is completely absorbed. Solve using the quadratic formula. 2x2=8x-7 Which in-text citation is formatted correctly in MLA style? (Homer 218) Allison Cobb sells homemade knit scarves for $ 25 each at local craft shows. Her contribution margin ratio is 60%. Currently, the craft show entrance fees cost Allison $ 900 per year. The craft shows are raising their entrance fees by 10% next year. How many extra scarves will Allison have to sell next year just to pay for rising entrance fee costs? Begin by identifying the general formula to compute the breakeven sales in units. Use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the value of the error. (Round your answers to three significant figures.) sinh(0.4) 1 (0.4)^2 / 2! + (0.4)^2 / 4!R4 R4 = Specifically what does R4 equal. Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of aapples