Ask question

Ask question

All categories

3 years ago

10

Cassidy wrote the linear equation y=5x+4. Then, she wrote the equation of the line that is parallel to y=5x+4 and that passes th

rough (8,–2). If her new equation is in the form y=5x+b, what is the value of b?

1 answer:

Sphinxa [80]3 years ago

3 0

All you need to do is plug in the point.
y=5x+b
(-2) = 5(8) + b
-2 = 40 + b
b = -42

You might be interested in

Need An Answer ASAP ... THANK YOU !!!

lozanna [386]

Answer:

∠EFG = 48°

Step-by-step explanation:

As FH bisects ∠EFG , ∠EFH = ∠HFG .

We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°

Also, ∠HFG + ∠EFH = ∠EFG

=> 2(-5x + 89)° = (61 - x)°

=> -10x + 178 = 61 - x

=> 10x - x = 178 - 61

=> 9x = 117

=> x = 117 / 9 = 13

Putting the value of 'x' in ∠EFG gives :-

(61 - x)° = (61 - 13)° = 48°

8 0

4 years ago

The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation

motikmotik

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452\frac{4}{7} \end{cases}\implies 452\frac{4}{7}=\pi r^2\implies \cfrac{3168}{7}=\pi r^2 \implies \cfrac{3168}{7\pi }=r^2 \\\\\\ \stackrel{\pi =\frac{22}{7}}{\cfrac{3168}{7\cdot \frac{22}{7}}}=r^2\implies \cfrac{3168}{22}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{diameter=2r}{d=24}~\hfill$

6 0

3 years ago

Which equation describes a line parallel<br> to y= 4x+ 5 through point (-2, 1)?

Tema [17]

Hi there!

For a line to be PARALLEL, it must contain the same slope.

The given line has a slope of 4, so we can use the point-slope formula to solve:

$\large\boxed{y - y_1 = m(x - x_1)}$

y1 = y-coordinate of given point

x1 = x-coordinate of given point

m = slope

Plug in the values:

$y - 1 = 4(x - (-2))\\\\y - 1 = 4(x + 2)$

Simplify:

$y - 1 = 4x + 8\\\\\boxed{y = 4x + 9}$

8 0

2 years ago

What is 3 1/2 - 2 5/7 and show the work

Hunter-Best [27]

$3 \frac{1}{2} -2 \frac{5}{7} = \frac{(3\cdot2)+1}{2} - \frac{(2\cdot7)+5}{7} = \frac{7}{2} - \frac{19}{7} \\\\= \frac{7\times 7}{2\times 7} - \frac{19\times 2}{7\times 2} = \frac{49}{14} - \frac{38}{14} \\\\= \frac{49-38}{14} =\boxed{\bf{\frac{11}{14}}}$

6 0

4 years ago

Suppose y varies inversely with x and that y=2 when x=8 What is an equation for this inverse variation?

bearhunter [10]

Suppose y varies inversely with x and that y=2 when x=8 What is an equation for this inverse variation?

B. y= 2/8x

3 0

4 years ago