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3 years ago

Write the equation of the line parallel to y=1/4 x+6 that passes through the point (-4, 3) in slope-intercept form.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

Answer: y=1/4x + 4

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6 and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3) the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b

3 = -1 + b

+1 +1

b= 4

The y intercept is 4 so the equation will be y=1/4x + 4

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The height of a rectangular prism is 3 in.. The perimeter is 88 in. (4 in. wide and 11 in. long). What is the value of the base?

Mamont248 [21]

<h2>The base of a rectangular prism(b) = 41 in.</h2>

Step-by-step explanation:

Given,

The height of a rectangular prism(h) = 3 in and

The perimeter of a rectangular prism = 88 in

To find, the base of a rectangular prism(b) = ?

We know that,

The perimeter of a rectangular prism = 2l + 2b or 2b + 2h or 2h + 2l

∴ 2b + 2(3) = 88

⇒ 2b = 88 - 6

⇒ 2b = 82

⇒ b = 41 in

Thus, the base of a rectangular prism(b) = 41 in.

7 0

3 years ago

YOU GET CORRECT YOU GET BRAINLIEST!!!!!!!

Virty [35]

The answer is 6 you just divide

5 0

3 years ago

Evaluate 6C3. <br><br> 18<br> 20<br> 60<br> 120

melomori [17]

Answer:

Step-by-step explanation:

$nC_{r}=\frac{n!}{r!(n-r)!}\\\\6C_{3}=\frac{6!}{3!(6-3)!}\\\\=\frac{6!}{3!(6-3)!}==\frac{6!}{3!3!}\\=\frac{6*5*4*3!}{3!3!}\\\\=\frac{6*5*4}{3!}\\\\=\frac{6*5*4}{3*2*1}\\\\ =5*4=20$

4 0

3 years ago

PLEASE HELP ME I WILL MARK CORRECT ANSWER BRAINLIEST

Assoli18 [71]

Answer:

36 units

Step-by-step explanation:

to do this you must first find the lengths of all the sides with pythagorean theorem

for a to b you use

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

c = 5

5 is one of the lengths

b to c uses the same equation

5 is another one of the lengths

for d to c your equation is

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

13 is another of the lengths

d to a has the same length as c to d so there is another 13 unit length

5 + 5 + 13 + 13 is your equation to find the perimeter

5 + 5 + 13 + 13 = 36

that is your answer

6 0

2 years ago

Given a circle with a diameter of 2/3, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Advocard [28]

The circumference of a circle can be found using the equation: c = 2<span>πr, where c=circumference and r=radius.
The radius of the circle is also equal to half the diameter: r = </span> $\frac{1}{2} d$ , where r=radius and d=diameter.

Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
$c = 2 \pi r\\
c = 2 \pi (\frac{1}{2} d)\\
c = \pi d$

Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
$c = \pi d \\
 \pi = \frac{c}{d}$

You know that the diameter, $d = \frac{2}{3}$ , so plug that into your ratio to get your answer. Remember that dividing by a fraction is equal to multiplying by the inverse of that fraction (aka the fraction flipped):
$\pi = \frac{c}{d}\\
\pi = \frac{c}{\frac{2}{3}}\\
\pi = c \times \frac{3}{2} \\
\pi = \frac{3c}{2} 
$

Your answer is B) <span>3C/2 = π. </span>

6 0

3 years ago

Read 2 more answers