All categories

3 years ago

Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

y = 5x - 2

Step-by-step explanation:

You might be interested in

people of brainly need help ASAP. Why are the words hot, cold, wet, and dry so useful to describe climate?

oksano4ka [1.4K]

Answer:

Because each word describes something completely different compared to the others. You normally do not hear of a hot winter or a wet desert.

5 0

3 years ago

Read 2 more answers

A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 51 miles a

EleoNora [17]

Well 51 per hour and there is 24 hours so you just multiply the two together. Which you would get get 1,224 Miles

4 0

3 years ago

Read 2 more answers

Deb wants to hang a picture over her bed. The picture is 4.8 feet and her bed is 72 inches across. She wants to be sure it’s cen

Dvinal [7]

Answer:

7.2 inches far from the bed.

Step-by-step explanation:

4.8 ft = 57.6

72-57.6 = 14.4

Since there is 2 edges. Divide by 2.

14.4/2 = 7.2 inches.

5 0

3 years ago

Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18

jonny [76]

$\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
a_5&9+d\\
a_6&(9+d)+d\\
&9+2d\\
a_7&(9+2d)+d\\
&9+3d=\underline{18}
\end{array}\\\\
-------------------------------\\\\
9+3d=18\implies 3d=9\implies d=\cfrac{9}{3}\implies \boxed{d=3}$

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=3
\end{cases}
\\\\\\
a_7=a_1+(7-1)d\implies 18=a_1+(7-1)3\implies 18=a_1+18
\\\\\\
18-18=a_1\implies \boxed{0=a_1}$

3 0

4 years ago

A scooter travels 18 miles in the same time a bike covers 8 miles. If the rate of the scooter is two miles per hour than twice t

blsea [12.9K]

<u>ANSWER: </u>

A scooter travels 18 miles in the same time a bike covers 8 miles.The rates of both scooter and bike are 8 miles per hour and 18 miles per hour

<u>SOLUTION: </u>

Given, a scooter travels 18 miles in the same time a bike covers 8 miles.

The rate of the scooter is two miles per hour than twice the rate of the bike

We need to find both rates of scooter and bike.

Let the speed of scooter be x and speed of bike be y.

And, time taken to travel be t.

Then, for scooter:

$\bold{distance = speed \times time}$

$18 = x \times t$

$t=\frac{18}{x}$ --- (1)

For bike:

$\bold{distance = speed \times time}$

$8=y \times t$

$\mathrm{t}=\frac{8}{y}$ --- (2)

Now, equate both (1) and (2)

$\frac{18}{x}=\frac{8}{y}$

On cross-multiplication we get

18y = 8x

4x – 9y = 0 ---- (3)

We also know that, rate of the scooter is two miles per hour than twice the rate of the bike.

x = 2 + 2y ---- (4)

Now substitute (4) in (3)

4(2 + 2y) – 9y = 0

8 + 8y – 9y = 0

9y – 8y = 8

y = 8.

Again substitute y value in (4)

x = 2 + 2(8) = 2 + 16

x = 18.

Hence, the rates of both scooter and bike are 8 and 18 miles per hour

8 0

4 years ago