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fiasKO [112]
3 years ago
13

Line w is perpendicular to the line y = −x − 5 and passes through the point (−2, 4). What is the y-intercept of line w?

Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

The slope of a line perpendicular to another is the negative reciprocal of the original.  The negative reciprocal of -1 is 1.  The equation will read:

y=x+b

To solve for the y-intercept (b), plug in the given values of x and y:

4=-2+b

<em>*Add 2 to both sides*</em>

D. 6


Hope this helps!!

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A forest ranger wants to install a 1500 CFM cubic feet per minute fan. A ranger station consists of a rectangular prism and a re
PolarNik [594]
Sample response: <span>Yes, the fan will provide enough airflow. The volume of the ranger station is 720 cubic feet. The ranger station requires a 720 CFM fan. 1,500 CFM is greater than 720 CFM, so it will be enough airflow.</span>
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4 years ago
The given shape is a regular pentagon.
svetoff [14.1K]

Answer:

Step-by-step explanation:

Since there are missing data, let's discuss some facts about regular polygons and their angles.

1) The sum of its Interior angles is given by:

S_i=180^{\circ}(n-2) \therefore \:for\: a\:pentagon\:S_i=180^{\circ}(5-2) =540^{\circ}

2) Since it is a regular pentagon, each interior angle is congruent:

Each interior angle:

Interior\:angle=\frac{540^{\circ}}{5} =108^{\circ}

3) If we trace an outside line, the external angle will be supplemental, i.e.

m\angle external= 180^{\circ}-108^{\circ} \therefore= 72^{\circ}

4) If we trace from each diagonal one line segment, in a regular pentagon that will form 3 triangles with one-third of 108º,i.e.,36º

As we can see, the in the picture below

5 0
3 years ago
What is the value of x?<br><br> • 4<br> • 4(square root of 2)<br> • 8<br> • 8 ( square root of 3)
Galina-37 [17]
We have two ways to solve this question
1)sin45=4√2 /x
√2 /2 =4√2 /x
X=8
2)Pythagorean theorem
In a 45-45-90 degree triangle
(4√2)^2+(4√2)^2=x^2
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7 0
3 years ago
What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y
blagie [28]
7x +2y +4 is the simplified form of this expression.
5 0
4 years ago
A third of a number minus 8 is 17 What is the number
katrin [286]

Answer:

<h2>The number is 75</h2>

Step-by-step explanation:

Let the number be x

A third of a number is written as

\frac{1}{3} x

A third of a number minus 8 is written as

\frac{1}{3} x - 8

The result is 17

We have

\frac{1}{3} x - 8 = 17

<u>Add 8 to both sides of the equation</u>

That's

\frac{1}{3} x + 8 - 8 = 17 + 8 \\  \frac{1}{3} x = 25

<u>Multiply through by 3 to eliminate the fraction</u>

That's

3 \times  \frac{1}{3} x = 25 \times 3 \\ x = 2 5 \times 3 \\ x = 75

<h3>The number is 75</h3>

Hope this helps you

5 0
4 years ago
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