Find the domain of the graphed function.

I need help solving this problem.

Galina-37 [17]

Answer:

y = $\frac{1}{4}$ x - $\frac{9}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 38 is in this form with slope m = - 4

The line ST is perpendicular to line RS ( angles in a square are 90° )

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-4}$ = $\frac{1}{4}$

y = $\frac{1}{4}$ x + c ← is the partial equation

To find c substitute (2, - 4) into the partial equation

- 4 = $\frac{1}{2}$ + c ⇒ c = - 4 - $\frac{1}{2}$ = - $\frac{9}{2}$

y = $\frac{1}{4}$ x - $\frac{9}{2}$ ← equation of ST

3 0

4 years ago

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while

kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

$s=\frac{d}{t}$

Here:

s = speed

d = distance traveled

t = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, s₁ = 6 mph.

Distance traveled by Niles' sailboat is, d₁ = 36 miles.

Speed of Bob's sailboat is, s₂ = 16 mph.

Distance traveled by Bob's sailboat is, d₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

$t_{1}=\frac{d_{1}}{s_{1}}$

$=\frac{36}{6}\\=6$

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

$t_{2}=\frac{d_{2}}{s_{2}}$

$=\frac{96}{16}\\=6$

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0

4 years ago

Write the equation of the line in slope-intercept form

NikAS [45]

Answer: Y = 7/8x+ 2.25

Step-by-step explanation:

you would subtract both y 7
subtract both x -8
y=7/8x+b
3= 7/8 x-2 +b
3 = 1.75 + b
-1.75 -1.75
2.25 = b

8 0

3 years ago

Lisa spends 1/5 of an hour doing her math homework and 1/3 of an hour doing her social studies homework. What fraction of an hou

Sveta_85 [38]

To solve this, all you have to do is add 1/5 and 1/3.
Well, you might be thinking, "But the denominators are not the same! Fractions have to have like denominators in order to be added together!" And you are right. So, all we have to do, is make them both have the same denominator. To do this, we have to multiply both the numerator and denominator by the same number to find an equivalent fraction.
For 1/5, we can multiply both the numerator and denominator by 3, to get 3/15.
Likewise, we can multiply both the numerator and denominator of 1/3 by 5, to get 5/15.
Now, you can easily add 3/15 and 5/15 because all you have to do is add the numerators, because the denominators are the same!
3/15+5/15=8/15, so she spends 8/15 hour on her math and social studies homework.
Hope I helped!

3 0

3 years ago

7. 2. What is the product of 50 and 100? 2 50 O 150 O 5,000 .

Helga [31]

Answer:

it's 5000

Step-by-step explanation:

50*100=5000

hope it helps:p

6 0

3 years ago