7. Find DE.
11-25
E
А
4x + 1
D
С

Answer:

Step-by-step explanation:

This is really a sloppy diagram. You have to know if the base of the triangle is 5 or 10.

It is 5. So the area of 1 of the triangles is 1/2 * b * h

b = 5

h = 8.7

Area = 1/2 * 8.7 * 5 = 21.75

There are 4 such triangles. The total area = 4 * 21.75 = 87 sqr in

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:

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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:

-22

Step-by-step explanation:

type it in google

Answer:

1

Step-by-step explanation:

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:

The distance between points 8 and -5 is 13

Step-by-step explanation:

We need to find distance between points 8 and -5

The formula used to find the distance is: [tex]Distance=|b-a|[/tex]

Absolute value is used to get only positive values. i.e |-1|=1 if required.

We are given: b=8 and a=-5

Putting values and finding distance

[tex]Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13[/tex]

So, the distance between points 8 and -5 is 13

Answer:

y= -3/5x + 16

Step-by-step explanation:

slope intercept form: y=mx+b

1. Find the slope: rise over run so 13-19/ 5-(-5) = -3/5

M=-3.5

2. Find the y - intercept by using the point slope form: b= 16

So, y= -3/5x + 16

Hope this helps :)

Answer:

the y intercept is y

Step-by-step explanation:

because we have the variable already/////

Answer:

32 days is my final answer

Step-by-step explanation:

Answer:

18540

Step-by-step explanation:

18 times 530 = 9540

9540 + 2,000 + 7,000= 18540

I did 18 times 530 because it said 530 for 18 months

Answer:

2x2x2x5

Step-by-step explanation:

2x2x2x5 equals 40

Answer:

a) 2y

b) 69

Step-by-step explanation:

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

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:

Step-by-step explanation:

Perimeter of the rectangular pasture P = 2(L+W)

Area A = LW

L is the length

W is the width

Given

Perimeter = 110m

Area = 750m

If the length of the pasture is 40m longer than the width, then L = W+40

110 = 2L+2w

55 = L+W .....1

750 = LW.....2

Solving simultaneously

from 1; L = 55-W

substitute into 2;

750 = (55-W)W

750 = 55W-W²

-W²+55W -750 = 0

W²-55W+750 = 0

(W²-25W)-(30W+750) = 0

W(W-25)-30(W-25) = 0

(W-25)(W-30) = 0

W-25 = 0 and W-30 = 0

w = 25m and 30m

Since L = 55-W

L = 55-25 = 30m and;

L = 55-30 = 25m

Since we are told that length id longer than the width then, the width we are going to use is 25m

Answer:

C. y= 7x

Step-by-step explanation:

Answer:

A function is an equation in math that connects an input to a given output.

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:

9 is the answer

Step-by-step explanation:

if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9  but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer

The number which is less than 10,  not a multiple of 2, and is a composite number, is 9.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

I am less than 10 l am not a multiple of 2 l am a composite number,

The numbers which are less than ten are,

9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The numbers which are not the multiple of 2 are shown below,

9, 7, 5, 3, 1, 0

The numbers which are composite are shown below,

9 = 3 × 3

Thus, The number is 9.

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Answer:

-1, -7

1, 3

3, -1

5, -5

Step-by-step explanation:

Answer: 2x+y=-6

Step-by-step explanation:

Answer:

15

Step-by-step explanation: