Write the equation of a line that passes
through point (-5,3) and is perpendicular to
y=3/5x +2.

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

[tex]\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6[/tex]

Therefore, the common difference is 6.

Answer:

20% off

Step-by-step explanation:

96/120 = 80% price still, so 20% off.

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]

The graph would move f(x) five units up.

Hope this helps.

Answer:

123 cm²

Step-by-step explanation:

You add the sum of all the faces in the shape

Answer:

Step-by-step explanation:

8 x 9= 72…. 3 x 8= 24….  3 x 9= 27….  72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.

therefor Your answer is 246 cm2

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

Answer:

One of the legs is missing; the leg missing is 16 inches long

Step-by-step explanation:

Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).

20² - 12² = x²

400 - 144 = x

400 - 144 = 256

√256 = 16

Answer:

what i dont get what you are trying to ask

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

honestly i don't know i'm just guessin so i can get points

Answer:

2n.

Step-by-step explanation:

This an arithmetic sequence with a1 = 2 and d = 2

an = a1 + d(n - 1)

= 2 + 2(n - 1)

= 2n + 2 - 2

= 2n.

Answer:

x = 77.5

Step-by-step explanation:

1. Use cross-multiplication to find x.

[tex]\frac{13}{21} =\frac{48}{x}[/tex]

[tex]13x =1008[/tex]

2. Divide and round.

x ≈ 77.5

Answer:

930 in^2

Step-by-step explanation:

Area of a parallelogram is Base x Height.

so, 30 x 31 = 930.

Answer: 930 in ^2

Step-by-step explanation:

Area is width x height.

Width = 30

Height = 31

30x31 = 930

Answer

$1.25

Step-by-step explanation:

well a quarter is 25 and 4 of them is $1.00 plus 25 = $1.25 cents

Answer:

Technically Andrew since his sum is technically "higher" than the rest of the negative numbers.

Answer:

Andrew

Step-by-step explanation:

Andrew since his sum is practically greater than the rest of the negative numbers.

Answer:

345

Step-by-step explanation:

230/4 = 57.5

57.5 times 6 = 345 calories

Answer:

24

Step-by-step explanation:

if A is a point between B and C, then'

BA + AC = BC

GIven

AB = 26 and BC = 50

BA = 26

Substitute

26 + AC = 50

AC = 50 - 26

AC = 24

Hence thelength of AC is 24

Answer:

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

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (0,-2) and (2,2)

[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=2(2)+b\\2=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]2-4=4+b-4\\-2=b[/tex]

Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]

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

I hope this helps!

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

[tex]F + V - E = 2[/tex]

Where

[tex]F \to Faces; V \to Vertices; E \to Edges[/tex]

[tex](a):\ Faces = 8; Vertices = 12; Edges = 6[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]8 + 12 - 6 = 2[/tex]

[tex]14 = 2[/tex]

The above equality is false. Hence, (a) does not exist

[tex](b):\ Faces = 6; Vertices = 6; Edges = 4[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]6 + 6 - 4 = 2[/tex]

[tex]8 = 2[/tex]

The above equality is false. Hence, (b) does not exist

[tex](c):\ Faces = 20; Vertices = 30; Edges = 12[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]20 + 30 - 12 = 2[/tex]

[tex]38 = 2[/tex]

The above equality is false. Hence, (c) does not exist

Answer:

3/16 or in decimal 0.1875

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

a = 3, b = -5 and c = -12.

Answer:

A) 16

Step-by-step explanation:

∠PQR and ∠TQS are vertical, meaning they equal each other

set up your formula as

3x+18=66

3x=66-18

3x=48

x=48/3

x=16

Answer:

288 square inches

Step-by-step explanation:

since we are not told what to find, we can as well find the volume of the prism

Volume of the prism = BH

B is the base area = 1/2 * 6 * 8

B = 48/2

B = 24 square inches

H is the height of the prism = 12in

Volume of the prism = 24 * 12

Volume of the prism = 288 square inches

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

Step-by-step explanation:

15*8= 120

120/2= 60

60*13= 780

So its B.  

Answer:

Assuming each box = 1 unit, the answer is 7.2

Step-by-step explanation:

Answer:

A. $500

C. 7 percent

Step-by-step explanation:

Your problem follows the format of the Simple Interest Formula.

The formula is described as follows: A = P(1 + r*t)

Where P = initial value

r = interest rate as a decimal

t = amount of time.

In your equation of A = 500 ( 1 + 0.07 t )

we can see that 500 represents the P value which is the initial value of the investment.

We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.

Answer:

The area is 88 square inches.

Step-by-step explanation:

To get the area of a rectangle, you multiply the length and the width.

The length of this rectangle is 11 inches and the width is 8 inches.

11x8=88

Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.

Example:

11x5=55

11x2=22

Answer:

Step-by-step explanation:

Hi,

I cannot see the options but for vertical compression you need to have values of a that are 0<a<1, then the graph will be compressed.

For example, if we have g(x)= 1/2 x^2 will be compressed by factor of 1/2.

Answer:

Always

Assumption:

At least how I know it.