Question 3
Find the slope-intercept form of the equation of the line that passes through (-6, 2)and is parallel to y=2x+3

Answer:

Step-by-step explanation:

to simplify you need to remove the parenthesis first , 2(5x)+7=

10x+7

Answer:

Step-by-step explanation:

If you change the bases to the same number, the exponents must equal each other.

Answer:

x = 12

Step-by-step explanation:

Given that,

GCF of HCF of two numbers = 3

LCM of numbers = 180

First number = 45

Let another number be x.

So,

HCF×LCM = first number × second number

[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]

So, the other number is 12.

Answer:

Step-by-step explanation:

Given the expression to calculate the radius r of the base of a cone is given by the equation

r=(3V/piH)

v is the volume = 5in^3

H = 4in

pi = 3.14

Substitute

r = 3(5)/3.14(4)

r = 15/12.56

r = 1.19

r = 1in to the nearest inch

Answer:C

Step-by-step explanation:

Answer:

C. 3, 2, 0, -1, -3

Step-by-step explanation:

The more negative a number is, the lesser it is.

Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...

I hope this helped!

Answer:

Step-by-step explanation:

Circle - A = πr²

Semi circle - A= 1/2 πr²

Trapezoid -  A= 1/2 (base 1 + base 2 ) x height

Rectangle - length x width

Triangle - A= 1/2 base x height

Answer:

(see below)

Step-by-step explanation:

A) Trapezoid

    3. A = 1/2 (base 1 + base 2 ) x height

~

B) Circle

    1. A = πr²

~

C) Rectangle

    5. A = length x width

~

D) Semicircle

    4. A = 1/2 πr²

This is half of a circle, so it would be 1/2 of the area of a circle, hence the 1/2.

~

E) Triangle

    2. A = 1/2 base x height

If you cut a rectangle in half diagonally, you have two triangles. So it's half the area of a rectangle. This is one way to think about it, hence the 1/2.

Answer:

Step-by-step explanation:

y = -4x + 7

perp. 1/4

y - 3 = 1/4(x + 8)

y - 3 = 1/4x + 2

y = 1/4x + 5

The equation of the perpendicular line is y = 1/4x + 5

The equation is given as:

4x + y = 7

Make y the subject

y = -4x + 7

A linear equation is represented as:

y = mx + c

Where m represents the slope.

This means that:

m = -4

A line perpendicular to 4x + y = 7 will have a slope of:

Slope = -1/m

This gives

Slope = 1/4

The equation of the line is then calculated as:

y = Slope(x - x1) + y1

This gives

y = 1/4(x + 8) + 3

Expand

y = 1/4x + 2 + 3

Evaluate

y = 1/4x + 5

Hence, the equation of the perpendicular line is y = 1/4x + 5

Read more about linear equation at:

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The probability that both marbles are yellow marbles is 1/25

The given parameters are:

Yellow = 2

Total = 10

The probability of selecting the first yellow marble :

P(Yellow) = 2/10

When the marble is returned, we have:

Yellow = 2

Total = 10

The probability of selecting the second yellow marble :

P(Yellow) = 2/10

The required probability is:

P =  2/10 * 2/10

Evaluate

P = 4/100

Simplify

P = 1/25

Hence, the probability that both marbles are yellow marbles is 1/25

Read more about probability at:

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Answer:

911.0145

Step-by-step explanation:

60,000 is the initial cost to repay and you add 49,321.74 because of interest

60,000+49,321.74= 109321.74 this is the final cost with interest

you divide by ten because there are ten years and you want it to equal 1 year

109321.74/10= 10932.174 this is the cost per year

last you divide by 12 because thats how many months there are per year

10932.174/12= 911.0145 this is the cost per month

Answer:

x-2=3*9

x=29

BC=29-2=27

Step-by-step explanation:

Answer:

42mph.

Step-by-step explanation:

We know that the formula for miles per hour is.

r = d/t

R is our rate or miles per hour.

D is our distance.

T is our time.

In this case our distance is 105 miles.

And our times is 2.5 hours.

Therefore if we substitute them into our formula:

105mi ÷ 2.5hrs = 42mph

Hope this helped!

Answer:

30 - 2xx = x

Step-by-step explanation:

Answer:

A= 30 - 2x

Step-by-step explanation:

Answer:

Jersey cost (without discount)= $65

Step-by-step explanation:

First, we need to determine how much he spent on the jersey:

Jersey cost (with discount)= 83.39 - 37.89

Jersey cost (with discount)= $45.5

Now, the original cost of the jersey:

Jersey cost (without discount)= discount cost / (1 - discount)

Jersey cost (without discount)= 45.5 / 0.7

Jersey cost (without discount)= $65

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Answer:

Step-by-step explanation:

32/13 = 2 6/13

Answer:

its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

15m

Step-by-step explanation:

Since the square has an area of 9m^2 it has to have sides that are 3m. There are 3 sides that are 3m. An equilateral triangle has the same sides so it has 2 sides that are 3m. There are 5 sides that are 3m. The perimeter is 15m.

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is shown in the coordinate grid. x represents the number of bookmarks and y represents the cost of each bookmark in cents.

The equation of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the coordinate grid, it has the points (2, 30) and (7, 90). Therefore, the equation is:

[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2)\\\\y-30=12x-24\\\\y=12x+6[/tex]

Therefore the cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 48 + 6

y = 54 cents

Answer: 300,000

Step-by-step explanation:

Given:

An angle measures 170° less than the measure of its supplementary angle.

To find:

The measure of each angle.

Solution:

Let x be the measure of supplementary angle.

Then, the measure of the angle is (x-170°).

Sum of supplementary angles is 180 degrees. So,

[tex]x+(x-170^\circ)=180^\circ[/tex]

[tex]2x-170^\circ=180^\circ[/tex]

[tex]2x=180^\circ+170^\circ[/tex]

[tex]2x=350^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{350^\circ}{2}[/tex]

[tex]x=175^\circ[/tex]

Now, the measure of the angle is

[tex]175^\circ-170^\circ=5^\circ[/tex]

Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.

Answer:

175 , 5

Step-by-step explanation:

Answer:

5 dollars per hour

Step-by-step explanation:

Answer:

5 per hour

Step-by-step explanation:

Divide 10 by 2 to get 5

Answer: 48 in 1 hour

Step-by-step explanation:

32 divided by 40 = 0.8

0.8 times 60 = 48

hope this helped you out :))

Answer:

we need numbers please is this the full question?

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Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

-----------------------------

Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

Q4:

second choice

Q5:

first choice

Hope I helped :)

Answer:

this is an triangle.

so the area of triangle =1/2×base×hieght

so let fg be base

area of the triangle=1/2×6cm×5cm

area of triangle=15cm²