The graph shows a line and two similar triangles which expression finds the equation of the line?

Answer:

[tex]\boxed {\boxed {\sf y=-7x-9}}[/tex]

Step-by-step explanation:

Since we are given a point and the slope, we should use the point-slope  formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point the line passes through and m is the slope.

We know the line passes through the point (-3, 12) and the slope is -7. Therefore,

Substitute the values into the formula.

[tex]y-12=-7(x--3)[/tex]

Remember that 2 back to back negative signs become a positive.

[tex]y-12=-7(x+3)[/tex]

Now we have to put the equation in slope-intercept form, or y=mx+b. Therefore, we need to isolate the variable y on one side of the equation.

First, distribute the -7. Multiply each term inside the parentheses by -7.

[tex]y-12=(-7*x)+ (-7*3) \\y-12= (-7x)+(-21) \\y-12= -7x-21[/tex]

12 is being subtracted from y. The inverse operation of subtraction is addition. Add 12 to both sides of the equation.

[tex]y-12+12=-7x-21+12\\y= -7x-21+12\\y=-7x-9[/tex]

The equation of the line is y=-7x-9

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.

Answer: 21.375 cm2

Step-by-step explanation:

Area of rectangle  = length x width = 3.5 x 4.4 = 15.75 cm2

Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2

Add rectangle and triangle area = 21.375 cm2

Answer:

21 /3/8 cm^2.

Step-by-step explanation:

Area = area of rectangle + area of the triangle

= 3 1/2 * 4 1/2 + 1/2 * 4 1/2 * 2 1/2

=  7/2 * 9/2 + 1/2 * 9/2 * 5/2

= 63/4 + 45/8

=  126/8 + 45/8

=  171/8

= 21 /3/8 cm^2.

Answer:

x=13

Step-by-step explanation:

100(x-3)=1000,  divide both sides by 100

100/100(x-3)=1000/100

x-3=10, add three to both sides

x-3+3=10+3

x=13

Answer:

The gradient is m=1/3

Step-by-step explanation:

The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:

Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3

Therefore, the gradient/slope is 1/3.

Answer: I think the answer is the bottom " the solution

only work on the bottom equation"

Step-by-step explanation:

Answer:

1= 2,3

2= 6,-2

Step-by-step explanation:

sup real human here,

d starts at 1,3

we move it to the right one to fill x+1 so it would be 2,3

We move it down 6 to fill y-6 so it would not be 2,-3

for 2, it is being moved down 5 and over 5

we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original

this would make 1,3 become 6,-2

Answer:

1. plug the point (1, 3) into the expressions: (x+1, y-6)

(1+1, 3-6) = (2, -3)

2. make an expression for the points based on B and B':

B: (4, -2)

B': (-1, 3)

(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3

plug in A (1,3):

(1 - 5, 3 + 5) = (-4, 8)

Circle Area = pi × ( radius )^2

_________________________________

pi = 3.14

..&..

radius = diameter / 2 = 24 / 2 = 12

Thus :

Area = 3.14 × ( 12 )^2

Area = 3.14 × 144

Area = 452.16 cm^2

Answer:

Hey Love! Answer: 452.16

Step-by-step explanation:

When trying to determine area of a circle remember the formula is just pi multiplied by the radius squared

Thats just a fancy way of saying the radius x the radius x pi but REMEMBER since we dont have the radius in this problem we have to figure it out but remember that the radius is only half the diameter so our diameter is 24cm now lets divide that by 2 and we get 12cm now lets multiply that by itself so radius x radius which our radius is 12 so 12 x 12 = 144 now all we have to do is multiply that by pi so

3.14 × 144 = 452.16

HOPE THIS HELPS!

Answer:

-15

Step-by-step explanation:

100 precent hshssjjdjddjdjdjdjdjdj

Answer:

Potential energy= mass x gravity x height

0.25x9.8x3=7.35 N

hope that answers your question

Step-by-step explanation:

Answer:

20/5=4/1= 4 pounds per gallon.

Step-by-step explanation:

I got that answer by dividing 20/5 and you will get 4. Then you will divide 4/1 because unit rates your supposed to have a denominator of 1. And your answer should be  4 pounds per gallon.

The radius of a circle is 7 cm. Find its circumference in terms of π.

Radius (r) of a circle = 7 cm. (Given)

We know,

[tex] \dag [/tex] Circumference of a circle is 2πr.

So, its circumference is 2 × π × 7

Its circumference is 14π cm.

Answer:

Radius (r) of a circle = 7 cm. (Given)

We know,

Circumference of a circle is 2πr.

So, its circumference is 2 × π × 7

Its circumference is 14π cm.

Its circumference in terms of π is 14π cm.

Answer: (4,-4)

Step-by-step explanation:

(4,-4) because you have to go to the very top of the point ans the point equals (4,-4) sorry im not very good at explaining

Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

Answer:

5.2

Step-by-step explanation:

Just divide 6.76 and 1.3, which equals 5.2.

Answer:

yes

Step-by-step explanation:

since its more than 90 dgree

Answer:

mhm!! ur right < 3

Step-by-step explanation:

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

Answer:

19.2

Step-by-step explanation:

4.8 x-4 = 19.2 meters

Answer:

19.2

Step-by-step explanation:

4.8 x 4

Answer:

B) 5

Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360

Combine like terms 70x+10=360

Additive inverse -10 from both sides, 70x= 350

Divide both side by 70 division Property of Equality x=5.

Check your answer by substituting 5 back into original solution!

Step-by-step explanation:

Answer:

166.3

Step-by-step explanation:

line that shows 8, shows that each of six sides is 8

so that's 48

to get the "apothem"

it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)

so that is square root of 48 which is like 6.928

then plug into the formula

1/2 x 6.928 x 48 which is like 166.27

Answer:

-7/10 < 1/5

Step-by-step explanation:

a negative number is always less than a positive number.

Answer:

Step-by-step explanation:

It would be <!

Answer:

DP = 15.

Step-by-step explanation:

I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.

D is the midpoint of AB so

2x + 14 = 8x - 52

14+52 = 8x - 2x

6x = 66

x = 11.

So side AD = 2(11) + 14 = 36.

Now PC = PA = 39.

So by pythagoras:

DP^2 = AP^2 - AD^2

= 39^2-36^2 = 225

DP = sqrt 225

= 15.

Answer:

19 x 11 = 209

4 x 3 = 12

7 x 5 = 35

35 + 12 + 209 = 256

Answer:

I think the answer is B.

Step-by-step explanation:

Answer:

3+3=6

Hope dhhhdjsjsbsjdbshs

Answer:

$4.29

Explanation:

$11.44 / 8 = $1.43

$1.43 x 3 = $4.29

Answer:

y=5x-3

Step-by-step explanation:

slope is 5, plug in (1,2) for x and y to find b