HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61

Answer:

Area of triangle ABC = 10

Option C is correct.

Step-by-step explanation:

We need to find area of triangle ABC

We are given A(2,1) B(4,7) and C(6,3)

The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:

In the given triangle base= AC and height = BC

First we need to find the distance between A and C and B and C

The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]

find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]

So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]

Finding area of triangle

[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]

So, Area of triangle ABC = 10

Option C is correct.

Answer:

I can't see the assignment question. It says there is nothing attached...

Step-by-step explanation:

Answer: P=55

Step-by-step explanation:

52=p-3

52+3= p+3

55=p (-3+3=0)

Answer:

15

Step-by-step explanation:

Answer:

1=y=4x+-2        2=y=4x-3

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

Answer:

B) 1/2 pound

Step-by-step explanation:

Lawrence bought 2/3 pound of roast beef.

He used 3/4 of it to make a sandwich.

The amount of beef that he used for his sandwich is calculated as:

3/4 of 2/3 pounds of roast beef

3/4 × 2/3

= 6/12 pound

= 1/2 pound

Option B is the correct Option.

Answer:

Slope= 15

Hope this helps! :)

Answer:

1

Step-by-step explanation:

12-6x=-8x+7+7x

-6x+8x-7x=7-12

-5x=-5

X=5/5

X=1

So the value of X is 1

Answer:

1

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:

180=102+48+m

180=150+m

30=m

Answer:

A. 30 degrees

Step-by-step explanation:

They are similar aka the same or congruent and since you know all three angles you just match them up.

Answer:

1 1/8

Step-by-step explanation:

1. Keep, change, flip

3/4 x 3/2

2. Multiply

3/4 x 3/2= 9/8

3. Simplify

9/8= 1/18

Answer:

The answer is A.

Step-by-step explanation:

All of earths bodies of water including groundwater. the hydrosphere also includes the cryosphere, which is made up of the worlds ice sheets and sea ice.

Answer:

a. the hydrosphere

Step-by-step explanation:

hydro means water

Answer:

Did you ever get the answers??

The equation of the line is y = 2x - 2.

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

The graph of the line is given.

(1)

The line passes through points (2,2) and (6,10).

The slope of the line is:

m = (10 - 2)/(6 - 2)

m = 8/4

m = 2

(2)

The equation of the line with a slope of m =2 and passes through (2,2) is:

y - 2 = 2(x - 2)

y = 2x - 4 + 2

y = 2x - 2         (1)

(3)

The line passes through points (4,b) and (a,8), therefore, from equation (1):

b = 2(4) - 2

b = 6, and

8 = 2a - 2

2a = 10

a = 5

(4)

Substitute x = 0 into equation (1):

y = 2(0) - 2

y = -2

Hence, the equation of the line is y = 2x - 2.

Learn more about the point-slope form of a line:

https://brainly.com/question/29503162

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Answer:

A and H are correct

Step-by-step explanation:

I took the quiz

The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”

"Two less than x" describes "x- 2"

"Quotient of x and y" describes  x/y

"x increased by y" describes x+y

n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.

So, the expression is n³/16-2+8

= n³/16 +6

When n=4, we get

4³/16 +6

= 4+6

= 10

Therefore, the options A and H are correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ3

Answer:

23/100

Step-by-step explanation:

is this what u mean?

Answer: is 23/100

im rite

on

ma

mama

Answer:

1. -32

2. -46

Step-by-step explanation:

1. When muliplying a number with a postive number and a negative number the answer will be a negative number

2. When you have a negative number and when  you have a postive number and you are subtracting your answer has to be a negative answer

Answer:

cvgbnm,m

Step-by-step explanation:

bxxcvn vn

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

Slope is the change in y over the change in x:

Slope = (-7 - 1) / (2 - 5)

Slope = -8/-3

Slope = 8/3

Answer:

32 days is my final answer

Step-by-step explanation:

Answer:

$52.50

Step-by-step explanation:

Set up the ratio:

[tex]\frac{24.50}{7}[/tex]

Simplify in order to find the cost per gallon.

The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.

Now you have this left:

[tex]\frac{3.50}{1}[/tex]

Multiply the denominator by 15 since Robert needs 15 gallons.

Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.

Now you have this left:

[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]

Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.

Answer:

y= -2x-3

Step-by-step explanation:

this is because the y intercept is at negative 3 and the rise over run is down 1 over 2