The equation of a line is 4x−3y=−24 help

Two circles with the same center are called

AfilCa [17]

Answer:

d

Step-by-step explanation:

Circles with the same centre are concentric circles

7 0

3 years ago

Read 2 more answers

Y-6=4(x+5) what are the Y and X intercept

Misha Larkins [42]

Hello.

Reorder the terms: -6 + y = 4(x + 5)

Reorder the terms: -6 + y = 4(5 + x) -6 + y = (5 * 4 + x * 4) -6 + y = (20 + 4x)

Solving -6 + y = 20 + 4x Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation. -6 + 6 + y = 20 + 6 + 4x

Combine like terms: -6 + 6 = 0 0 + y = 20 + 6 + 4x y = 20 + 6 + 4x

Combine like terms: 20 + 6 = 26 y = 26 + 4x

Simplifying y = 26 + 4x

x-intercept: (−132,0)(-132,0)y-intercept: (0,26)

Have a nice day

4 0

3 years ago

70% of a number is 98.

Anni [7]

Set up the proportion:
70% - 98
90% - x

$\frac{70\%}{90\%}=\frac{98}{x} \\
\frac{7}{9}=\frac{98}{x} \\
\frac{7}{9}x=98 \\
x=98 \times \frac{9}{7} \\
x=14 \times 9 \\
x=126$

The answer is D. 126.

8 0

3 years ago

A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function

dexar [7]

Here's our equation.

$h=-16t+64t+3$

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

$0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a} \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16} = \frac{64\±\sqrt{4096+192}}{32}$

$= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}$

So the ball will return to the ground at the positive value of $\boxed{\frac{8+\sqrt{67}}{4}}$ seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

$\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2$

$h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}$

8 0

3 years ago

According to the 2010 U.S. Census, there are approximately 8 million people living in Virginia. This is 2.8 million less than 4

grandymaker [24]

Solution: We are given that the population of Virginia is 8 million.

Let x be the population of Nevada.

We are given population of Virginia is 2.8 million less than 4 times the population of Nevada.

$\therefore 4x-2.8=8$