Algebra 1.

13. Write a system of linear equations that has the ordered pair (3, -5) as its solution.

Answers

Answer 1

Answer:

[tex]x + y = -2\\x-y=8[/tex]

Step-by-step explanation:

3 is the [tex]x[/tex], and -5 is the [tex]y[/tex].

1) Create two equations that add and subtract them.

[tex]x + y = -2\\x-y=8[/tex]

2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.

[tex]x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = \frac{10}{-2} \\y = -5[/tex]

To find [tex]x[/tex], substitute the result into one of the two equations. I choose [tex]x+y=-2[/tex].

[tex]x-5=-2\\x = -2 +5\\x = 3[/tex]


Related Questions

Heeeeeeeeeeelllllllllllllllllllllpppppppppppp

Answers

Answer:

Hope it helps you......

∠2 and ∠4 are "blank" angles.

Answers

Answer:

angles 4 and 2 are congruent

Step-by-step explanation:

the same

What is the distance between the points(-4,-1) and (-6,8) in simplest radical form.

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6 - (-4)]^2 + [8 - (-1)]^2}\implies d=\sqrt{(-6+4)^2+(8+1)^2} \\\\\\ d=\sqrt{(-2)^2 + 9^2}\implies d=\sqrt{85}[/tex]

last number of 1²+2²+...+2007²

Answers

Answer:

4028054 is the last number when we operate it....


2. Brian thinks that 1.75 x 10-3 is less than 1.25 10-2. Is he correct? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

write the equation of the circle with a center at ( 2, -4 ) and a radius of 4

Answers

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-4}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\\\\ [x-2]^2~~ + ~~[y-(-4)]^2~~ = ~~4^2\implies (x-2)^2~~ + ~~(y+4)^2~~ = ~~16[/tex]

Complete the two-way frequency table below, which shows the
distribution of blood types for students in their first year at a local
college.
O AB AB Total
Male (M) 210 17474 42
Female (F)|31526111163
Total
What is P(ABM), and are the events "the student is male" and "the
student has blood type AB" independent events? (7 points)
а
21
; they are independent because P(M N AB) = P(M)
250
· P(AB)
Ob
T!
; they are dependent because P(M NAB) P(M) · P(AB)
5
Ос
21
; they are independent because P(M N AB) = P(M)
625
P(AB)
Od
1
--; they are dependent because P(M N AB) = P(M) · P(AB)
4

Answers

Answer:

a.

Step-by-step explanation:

Probability that is a AB type blood given is a Male

P(AB/M)  = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)  

 (42/105) = (500/1,250)

            .4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.


It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I
maintain the same speed, estimate how much longer I will be driving for.

Answers

Answer: 1h and 25min

To find how long you can drive in a minute we do 48 divided by 32 = 1.5. So it takes 1 min to drive 1.5km

Then we 146 divided by 1.5 = 97 and a third to find out how long it takes to drive 146km.

Then we convert it to hours to get 1h and 57min.

Then we - 32 because we already drove 32min. 1h and 57min - 32 = 1h and 25min

The sum of, half of a number and double the number is 20. Find the number.​

Answers

Answer:

The number is 8.

Step-by-step explanation:

Rewrite the word problem as an equation.

The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.

To find the number, solve the equation.

x/2 + 2x = 20

Multiply both sides by 2.

x + 4x = 40

Combine terms.

5x = 40

Divide both sides.

x = 8.

Answer:

i think 8 is the answer

Step-by-step explanation:

i am sorry if i am worng

HELP MEEEEE THIS IS DUE IN 2 HOURSSS

Answers

It should and probally is B

8th Grade Math!!

find the area of the rectangle.

the area of the rectangle is __ square feet. (simplify your answer)

Answers

Answer:

[tex]48x^{13}\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

[tex](8x^6) * (6x^7)[/tex]

[tex]((8*6)(x^6*x^7))[/tex]

[tex](48*x^{6+7})[/tex]

[tex]48x^{13}[/tex]

Answer:  [tex]48x^{13}\ ft^2[/tex]

Mary reduced the size of a painting to a
width of 5.4 in. What is the new height if it
was originally 46.5 in height and 32.7 in width?
Round to nearest tenth of an inch.

Answers

By finding the scale factor as a quotient of the two given widths, we will see that the new height is 7.7 in

How to get the new height?

We assume that the height and the width are reduced by the same scale factor.

Such that the scale factor is given by the quotient between the new width and the original width, so we have:

k = 5.4in/32.7in = 0.1651

Then the new height will be the original height times the above number, which gives:

H =  0.1651*46.5 in = 7.7 in

We conclude that the new height of the painting is 7.7 inches.

If you want to learn more about scale factors, you can read:

https://brainly.com/question/3457976

I will give Brainliest!!!


A savings account was opened and not touched for 4 years. The amount of money in the account grew by a consistent percentage at the end of each year. Complete the missing values in the table.

Answers

Answer
148.5
219.62

There is a 10% increase by year

A 10% DECREASE of 165 is 148.5
A 10% INCREASE of 199.65 is 219.62

Can someone help me I need this done ASAP like TODAY… I know D. I just dont know A, B, C. Please helppppppppp meeeeeeeeee

Answers

Answer:

Please see explanation

Step-by-step explanation:

base= -3

the exponent is 5

in expanded form -3×-3×-3×-3×-3

evaluation = -3×-3×-3×-3×-3= -243

Five friends share 4 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?

Answers

each friend gets 4/5 of a bag of trail mix

please hurry
Rectangle A'B'C'D is a dilation of rectangle ABCD What is the scale factor? Enter your answer in the box.​

Answers

The scale factor is 4

Divide $3600 among Nancy Beverly and Todd in the ratio 2:3:4?

Answers

Answer:

nancy: $800, beverly: $1200, todd: $1600

Step-by-step explanation:

finding the portion of one part of the ratio:


3600 ÷ 9 = 400 (9 came from 2 + 3 + 4 in the ratio)

Nancy: 2 x 400 = $800

Beverly: 3 x 400 = $1200

Todd: 4 x 400 = $1600

checking the answer:

1600 + 1200 + 800 = 3600

Triangle ABC is a right triangle, and mC is 78°.


What is mA?
A. 2°
B. 12°
C. 22°
D. 32°

Answers

Answer:

[B] 12°

Step-by-step explanation:

Given:

Triangle ABC is a right triangle, and m∠ C is 78°.

Solution:

Knowing that Triangle = 180 degree

Square in a right angle = 90° angle.

Thus,

78+90 =168

180-168 is 12

Hence, the answer is [B] 12 degree

Kavinsky

Answer:

the answer is

Step-by-step explanation:

B

A photograph has a length that is 6 inches longer than its width,x. So it's area is given by the expression x(x+6) square inches.

Answers

Answer:

The width of the photograph is 8 inches

Step-by-step explanation:

hopefully im right

Jack went to baseball practice at 5:45 p.m. He returned home at 8:22 p.m. How long was he gone for? SHOW YOUR WORK PLEASE

Answers

Answer:

2 hours and 37 mins

Step-by-step explanation:

you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes

4. Convert: 32 cups = gallons 10 gallons 3 gallons 2 gallons 1 gallon​

Answers

Answer:

2 gallons

Step-by-step explanation:

:/

What is the area of the following figure?



35 mm 2
3 mm 2
75 mm 2
105 mm 2

Answers

Answer: [tex]75mm^2[/tex]

Step-by-step explanation:

The formula for the area of a paralellogram is:

bh=a

Where

b is the base (15 for this)

h is the height (5 for this)

and a is the area

Let's sub our values into the formula

[tex]bh=a\\(15)(5)=a[/tex]

Now solve

[tex](15)(5)=a\\75=a[/tex]

area is length x base so therefore 5 x 15 = 75

ans is C

1/2 ÷ (-1/7) Answer in a mixed number

Answers

Answer:

[tex]\sf{-3\displaystyle\frac{1}{2} }[/tex]

Solution:First, we need to flop the second fraction over.Then, we need to multiply the first fraction times the second fraction.In order to multiply fractions, we need to multiply the numerator of the first fraction times the numerator of the second fraction:[tex]\displaystyle\frac{1}{2} *-\frac{7}{1}[/tex][tex]-\displaystyle\frac{7}{2}[/tex]Now, let's convert the improper fraction into a mixed number.First, how many times does 2 go into 7? (evenly)The answer is 3.Now, multiply 3 times 2. We get 6.Subtract 7-6. We get 1.The denominator stays the same.Therefore, the answer is[tex]-3\displaystyle\frac{1}{2}[/tex]

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

[tex] = \frac{1}{2} \div ( - \frac { 1}{7}) \\ [/tex]

Move the ( - ) sign forward

[tex] = - \frac{1}{2} \div \frac{1}{7} \\ [/tex]

[tex] = - \frac{1}{2} \times \frac{7}{1} \\ [/tex]

[tex] = - \frac{7}{2} \\ [/tex]

what can you add to get negative 8 and multiple to get positive 7

Answers

Step-by-step explanation:

-1 and 8 Below we prove the -1 and 8 multiple to -8 and add up to this -1 × 8= -8


When x^2 + bx + 2 is divided by
X + 3, the remainder is 5. find the value of b

Answers

Answer:

b = 2

Step-by-step explanation:

Let f(x) = + bx + 2,

[tex]f( - 3) = 5 \\ {( - 3)}^{2} - 3b + 2 = 5 \\ 11 - 3b = 5 \\ 3b = 6 \\ b = 2[/tex]


If you draw out a red marble, keep it, then draw out a
blue marble, is it independent or dependent probability?
Independent

Answers

Answer:

dependent

Step-by-step explanation:

the probability of drawing the blue marble was changed when you drew the red marble and did not put it back

PLEASE HELP!!!
Triangle DEF is similar to triangle ABC. What is the sequence of transformations that maps triangle ABC to DEF?

Answers

The sequence that maps ΔABC to ΔDEF are represented by three transformations: a horizontal and vertical translation and a counterclockwise rotation.

What transformations have been done to a obtain a resulting triangle?

According to Euclidean geometry, a transformation is rigid if and only if Euclidean distances are conserved for every point of the figure. It is to be noticed that there is more than one manner to obtain the resulting figure.

After a careful inspection both on the statement and on the figure, we conclude that the following sequence of transformations:

Translation of 2 units in the -x direction.Translation of 2 units in the -y direction.Rotation around the point D of 0.5π counterclockwise.

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Help me for 10 help me please

Answers

what do you need help with

Answer:

Answer:

what do u need help in?

pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)

Answers

Answer:

The answer would be four dresses.

Step-by-step explanation:

Step 1. Do 16 divided by 3.67
Step 2. Get the answer of 4.53...
Step 3. Round down because it's the number of whole dresses
Step 4. Get the answer of 4.
Hope this helps! Btw, I don't need Brainliest if the other person wants it.

Answer:

They can make 4 dresses

Step-by-step explanation:

Since it is 3.6667 yards per dress, and the amount they have is 16 yards, divide the amount they have by number of yards per dress to get slightly over 4. Since you can't make a percent of a dress, the answer would be 4.

can someone help mepleace

Answers

Answer:Click on the file below

Step-by-step explanation:

Other Questions
Lukes payment on his new phone will be $70 per month for 12 months. Assuming the phone costs $830 at sale, how much interest will he have paid when he pays the loan on fuel Which molecule would provide the most accurate value for the bond length of a nitrogen-nitrogen double bond How did Jim Crow laws further restrict African Americans rights after Reconstruction? Read the excerpt from anthem. but i still wonder how it was possible, in those graceless years of transition, long ago, that men did not see whither they were going, and went on, in blindness and cowardice, to their fate. i wonder, for it is hard for me to conceive how men who knew the word "i," could give it up and not know what they lost. based on the excerpt, it can be inferred that the narrator believes that the council took mens freedom from them. men surrendered to conformity and gave up their own freedom. men had freedom all along and did not realize it. the council led men to think they were free to choose their destinies. Johnny went to the park at 10:45am and left at 12:00pm. How long was he at the park? Fossils that have characteristics common to both an ancestral species and descendent species are called. What is the term used to describe the total amount of money produced bythe sele of goods and services. HELP ME OUT PLS!!!!!!!! 4) Choose the correct answer A) a Main sequence star in spectral class B B) a Super Giant in Spectral Class K C) a Main Sequence star in spectral class Kor M D) a White Dwarf in spectral class B Why did the cia support covert activity to restore the shah to power in iran? Which sentence uses the word indicated correctly?Someone indicated I look in the local library for better sources.The studies indicated that dogs are good pets for children.The best books about dogs are indicated by the American Kennel Club. is y=-x+2 a linear equation is a parallelogram a rectangle Can someone help me solves x Read the passage. What should Kenji do? Why should he take that course of action. Two siblings, Miko and Cheko, receive some pocket money every month. This month, the ratio of Miko's pocket money to Cheko's pocket money is 8:12. Cheko's pocket money is $660. How much must Cheko give to Miko such that each of them have an equal amount of pocket money? Three loads, of 24 A, 8 A, and 12 A are supplied from a 200 V source. If a motor of resistance 2.4 Ohms is also connected across the supply, calculate (a) the total resistance and (b) the total current drawn from the supply. Whats the correct answer Find the slope of the line that passes through (9, 1) and (6, 2). What two systems send messages in the body? Identify a true statement about closeness through self-disclosure (social penetration theory). Group of answer choices The exchange of biographical information through self-disclosure is difficult to achieve at the first meeting. Future privacy is easily achievable even after deep penetration through self-disclosure. The depth of penetration and the degree of personal disclosure are mutually exclusive. The main route to deep social penetration is through verbal self-disclosure.