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3 years ago

Match the equation below with the following graph.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

6 0

Answer:

2x+4

Step-by-step explanation:

The equation of the line in point-slope form is expressed as;

y - y0 = m(x-x0)

Using the coordinates (0,4) and (-2, 0)

Slope = 0-4/-2-0

slope = -4/-2

slope = 2

Substitute m = 2 and the point (0,4) into the formula;

y - 4 = 2(x-0)

y - 4 = 2x

since y = 4 + 2x

y = 2(x+2)

Hence the required equation is 2x+4

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The slope intercept form of the equation of a line is y=mx+b. when the formula is solved for m, the result is?

Burka [1]

Answer:

Step-by-step explanation:

Subtract from each side and you get y−b=mx. Then divide each by x

3 0

3 years ago

A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t

AlladinOne [14]

Answer:

The length of fencing will be $300\ ft$

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

$A=bh$

In this problem we have

$A=5,000\ ft^{2}$

$5,000=bh$ -----> equation A

$b=\frac{h}{2}$ -----> equation B

Substitute equation B in equation A

$5,000=(\frac{h}{2})h$

$10,000=h^{2}$

square root both sides

$h=100\ ft$

Find the value of b

$b=\frac{h}{2}$ -----> $b=\frac{100}{2}=50\ ft$

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

$P=2(b+h)$

we have

$h=100\ ft$

$b=50\ ft$

substitute

$P=2(50+100)=300\ ft$

6 0

4 years ago

-Solve the proportion (round to the nearest tenth).<br><br> 1910=x12

zysi [14]

The value of x in the proportion is 15.8.

1910 = x12

1910 = 12x

divide both sides by 12

1910 / 12 = 12x / 12

x = 15.8333333333

x ≈ 15.8

5 0

3 years ago

PLEEASSEEEE Answer ASAP. Due in 5 Minutes. 25 points!!!!!!!!!

jonny [76]

Answer:

Here we will use the relationships:

$a^n*a^m = a^{n + m}$

$(a^n)^m = a^{n*m}$

$\frac{a^n}{a^m} = a^{n - m}$

And a number:

$a^n$

is between 0 and 1 if a is positive and larger than 1, and n is negative.

if a is positive and 0 < a < 1, then we need to have n positive such that:

0 < a^n < 1

A) $5^3*5^{-4} = 5^{3 + (-4)} = 5^{-1}$

This is between zero and 1,

B) $\frac{3^5}{3^{-6}} = 3^{5 - (-6)} = 3^{11}$

This is greater than 1, because the exponent is positive.

C) $(\frac{1}{4})^3*( \frac{1}{4})^2 = (\frac{1}{4})^{2 + 3} = (\frac{1}{4})^5$

Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.

D) $\frac{(-7)^5}{(-7)^7} = (-7)^{5 - 7} = -7^{-2}$

The exponent is negative (and pair) then the expression is between 0 and 1.

Remember that when the exponent is pair, we always have that:

(-N)^m = (N)^m

So (-7)^-2 = 7^-2

4 0

3 years ago

It takes 3 3/4 spoons of chocolate syrup to make 2 1/2 gallons of chocolate milk. How many spoons of syrup would it take to make

kvasek [131]

Answer:

It would take 4 1/2 spoons

Step-by-step explanation:

To make a half gallon you need .75 spoons of chocolate syrup so to make 6 half gallons(3gallons) you would need 4.5 .75(6)

8 0

3 years ago