What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)? A. y - 2 = 0 B. y - x - 2 = 0 C. x - 2 = 0

Answer:

1

Step-by-step explanation:

concepts used is law of indices

where

(a^b)^c = a^bc

a^m/a^n = a^(m-n)

a^m *a^n = a^(m+n)

a^0 = 1

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50000)^2 = (5*10^4)^2 = 25*10^8

(0.00002)^3 = (2*10^-5)^3 = 8*10^-15

(0.0000001) = 10^-7

now

(50000)^2×(0.00002)^3\(200)×(0.0000001) =  25*10^8 * 8*10^-15/200*10^-7

  = 200*10^8-15-(-7)/200 = 10^-7 +7 = 10^0 = 1

Thus,1 is the answer

Answer: 8.94

Step-by-step explanation:

each side is the [tex]\sqrt{20}[/tex] so multiply that by 2 and you will have 8.94

Answer:

2/36 or 1/18

Step-by-step explanation:

There are 36 possible outcomes (6x6).

Only 2 possibilities equal 11.  (5+6 and 6+5).

So the probability is 2/36, or 1/18.

Answer:

3^6-4x=3^3x-3

Step-by-step explanation:

9^3-2x = 27^x-1  ( 9 is 3² and 27 is 3³)

(3²)^3-2x= (3³)^x-1    in case of exponential between brackets , multiply the exponents.

3^6-4x=3^3x-3

Answer:

x = 9/7

Step-by-step explanation:

9^3-2x = 27^x-1

(3^2)^3-2x = (3^3)^x-1

3^2(3-2x) = 3^3(x-1)

2(3-2x) = 3(x-1)

2(-2x+3) = 3x - 3

-4x + 6 = 3x - 3

-4x = 3x - 9

-7x = -9

x = -9/-7

x = 9/7

Answer:

x² = 10

x = ±√10 (Take the square root of both sides)

Answer:

x = pi/8   + pi/2  *n                    x = 3pi/8   +   pi /2 *n

Step-by-step explanation:

cos ^2 ( 2x) - sin ^2 (2x) = 0

Substitute u = 2x

cos ^2 ( u) - sin ^2 (u) = 0

We know cos ^2(x)-sin ^2(x)=cos (2x)

cos ( 2u) =0

Replacing u with 2x

cos  (2 *2x) =0

cos (4x) =0

cos u =0 when u = pi/2 + 2 pi n and 3pi/2 + 2 pi n  where n is an integer

4x = pi/2+2 pi n                    4x = 3pi/2+2pi n

x = pi/8   + pi/2  *n                    x = 3pi/8   +   pi /2 *n

convert 5.6 cm = 56 mm squared

Answer: 560 mm²

Step-by-step explanation:

Note that 1 cm = 10  mm

Given: 5.6 cm²

          = 5.6 cm· cm

           [tex]=5.6\ cm \cdot cm\times \dfrac{10\ mm}{1\ cm}\times \dfrac{10\ mm}{1\ cm}\quad[/tex]

           [tex]=560\ mm\cdot mm\\[/tex]

           [tex]=\large\boxed{560\ mm^2}[/tex]

Answer:

2x⁴+x³-x²+54x+56

Step-by-step explanation:

Given the expression length of dylan room =  (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;

Area of rectangle = Length *Width

Area of the rectangle =  (x² – 2x + 8)(2x² + 5x – 7)

Area of the rectangle  = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)

= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)

expanding the bracket

= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56

Collecting the like terms;

= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56

= 2x⁴+x³-x²+54x+56

Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56

Answer:

2x^4+ x^3 - x^2 + 54x - 56 expression represents the area of Dylan’s room

Step-by-step explanation:

C on edge :)

Answer:

B.

Step-by-step explanation:

First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.

Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.

In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.

For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.

Note that C is also a third-degree polynomial, but it's not written in descending order.

Answer: D

Step-by-step explanation:

D makes a lot more sense because if you are someone who watches TV a lot then your more likely to score less on a given test.

Negative correlation means that as the x values increases the y value decrease.

So in this case hours will be on the x coordinate and y will be your test score.

Answer:

16 and 65536

Step-by-step explanation:

4^2 =16 and 4^8 =65536

Answer:

4^10

Step-by-step explanation:

4^2 x 4^8

When we multiply exponents with the same base, we can add the exponents

4^(2+ 8)

4^10

Answer:

28.

Step-by-step explanation:

9x^2 + 2 = 10x

9x^2 - 10x + 2 = 0

The discriminant is b^2 - 4ac.

In this case, a = 9, b = -10, and c = 2.

(-10)^2 - 4 * 9 * 2

= 100 - 36 * 2

= 100 - 72

= 28.

Since the discriminant is positive, there are two real solutions to the function.

Hope this helps!

Answer:

The pupils who are not participating in sports games are 82

Step-by-step explanation:

According to the given data we have the following:

2/31 participate in athletics

1/9 in volleyball games

Total participants=98

Therefore, pupils participate in athletics= 98*2/31

pupils participate in athletics=6

pupils participate in volleyball games=98*1/9

pupils participate in volleyball games=10

Therefore, pupils are not participating in sports games=98-16

pupils are not participating in sports games=82

The pupils who are not participating in sports games are 82

Answer:

b = [tex]\sqrt[3]{\frac{2d-c}{5} }[/tex]

Step-by-step explanation:

Given

2d = 5b³ + c ( subtract c from both sides )

2d - c = 5b³ ( divide both sides by 5 )

[tex]\frac{2d-c}{5}[/tex] = b³ ( take the cube root of both sides )

[tex]\sqrt[3]{\frac{2d-c}{5} }[/tex] = b

Answer:

-2.2y - 1.8

Step-by-step explanation:

We are to simplify the expression:

1.2y + 4.5 - 3.4y - 6.3

Collect like terms:

1.2y - 3.4y + 4.5 - 6.3

Simplify:

-2.2y - 1.8

That is the answer.

Answer: 15 cm

Step-by-step explanation:

For this problem, we can use the Pythagorean Theorem.

The legs of the triangle are 9 cm and 12 cm.

According to the theorem...

[tex]9^{2} +12^{2} =c^{2}[/tex], c being the hypotenuse.

[tex]81+144=225[/tex]

[tex]c^{2} =225\\\sqrt{225} =15[/tex]

Therefore c=15.

Answer:

15

Step-by-step explanation:

You need to find one of the other angle measures first, I will be solving for the top angle.

To find this you need to take the inverse tangent of the opposite length over the adjacent length, in this case it would be 12 over 9

tan^-1 (12/9)      

=53.1. round to the nearest degree so 53

now that you have your angle measure you can take the sine of that angle

for sine you do opposite over hypotenuse, we dont know the length of the hypotenuse so use x

sin(53) = 12/x

0.79 = 12/x  don't round the answer to sin(53) wait till the end to round and just use your calculator to remeber the exact number

0.79 = 12/x

•x          •x   multiply both sides by x

0.79x = 12

/0.79     /0.79    divide both sides by 0.79 this is when you would use the calculator to enter in the exact number not just 0.79

x = 15.02 now you can round to the nearest tenth or whole number for this one it would just be 15

x=15

Answer:

[tex]\boxed{V = 3591.4 \ cm^3}[/tex]

Step-by-step explanation:

Diameter = 19 cm

Radius = 19/2 = 9.5 cm

Volume = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]

V = [tex]\frac{4}{3}(3.14)(857.375)[/tex]

V = [tex]\frac{10774}{3}[/tex]

V = 3591.4 cm³

Answer:

i just wanted to delete this sorry

Step-by-step explanation:

my answer that is

lol sorry  

Answer:

Axis of Symmetry: x = 3

Vertex: (3, 5)

Step-by-step explanation:

Use a graphing calc.

Answer:

3

Step-by-step explanation:

Answer:

36 people joined the radio control club.

Step-by-step explanation:

15-3= 12

12*3=36

A) 22°

∡DBG = (360° - BD - BG)/2

= (360° - 170° - 146°)/2

= 44°/2

= 22°

Answer:

6

Step-by-step explanation:

6 appears the most

Answer:

6

Step-by-step explanation:

Put the data in order from smallest to largest

5,6,13,2,6,11,6,5,3,14

2,3,5,5,6,6,6,11,13,14

The mode is the number that appears most often

6 appears most often so it is the mode

Alan can conclude that the medicine given out to the treatment group does indeed work and reduces the amount of coughing and the control group with no treatment never got any better so the medicine is far better than no treatment at all.

Step-by-step explanation:

Y varies directly as cube root of x is written as

y = k³√x

where k is the constant of proportionality

when y = 3

x = 27

We have

[tex]3 = k \sqrt[3]{27} [/tex]

But ³√27 = 3

That's

3 = 3k

Divide both sides by 3

k = 1

The value of the relationship is

When x = 8

We have

Hope this helps you

Answer:

45

Step-by-step explanation:

There are 3 cones and 15 flavors

Multiply the number of cones by the number of flavors

3*15

45

There are 45 possible combinations

Answer:

[tex] C = 28.9 [/tex]

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

[tex] cos(C) = \frac{7}{8} [/tex]

[tex] cos(C) = 0.875 [/tex]

[tex] C = cos^{-1}(0.875) [/tex]

[tex] C = 28.9 [/tex]

(To nearest tenth)

Answer:

Becky's mistake was that she said [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex], while it's actually equal to [tex]-\frac{9}{4}[/tex].

Step-by-step explanation:

[tex]\quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned}[/tex]

Step 1 looks fine as she just rearranged the equation, keeping the negatives and positives right.

Step 2 is where she said that  [tex]\frac{4}{5} - \frac{5}{4} = 0[/tex]. This would only be true if we were multiplying one of the numbers by 0. So Step 2 was wrong.

Step 3 is right, as 0+7 = 7.

Hope this helped!

Answer:

step 2 is wrong

Step-by-step explanation:

Answer: A. y-In x-3

explanation:

Answer: t= v-u/a

Step-by-step explanation: V=u-at

V-u=at

Subtract u from both sides

V-u=at

Divide both sides by a

v-u/a=at/a

v-u/a=t

Answer:

Blank 1: 3

Blank 2: 31

Step-by-step explanation:

f(x) = 2x + 7

Plug x as -2

2(-2) + 7

-4 + 7

= 3

Plug x as 12

2(12) + 7

24 + 7

= 31

Answer:

Step-by-step explanation:

[tex]10.5 \:trees = 5 \:cabins\\x \: trees\:\:\:\:\:\:=7\:cabins\\\\5x = 73.5\\\frac{5x}{5} = \frac{73.5}{5}\\ x = 14.7 \: trees[/tex]