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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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Solve x - 3 1/8 = 5/12
Anna007 [38]

Answer:

\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}

Step-by-step explanation:

Convert the mixed number to the fraction:

3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}

METHOD 1:

x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}

METHOD 2:

x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}

7 0
3 years ago
Given Point A (3,-4) and Point B (8,6) on directed line segment AB, what is the y-coordinate of Point F
Allisa [31]

Answer:

(6,2) y-coordinate is 2

Step-by-step explanation:

6 0
3 years ago
This figure shows the mer
Flura [38]

Answer:

8

Step-by-step explanation:

8•4=32 it's not that bad

5 0
2 years ago
28 in 21 in., 20 in.<br> Is this a right triangle?
ankoles [38]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

The simplest way to determine is testing out the numbers with Pythagorian theorem.

If it complies with the theorem, it is a right triangle.

let's assume c = 28, b = 21, and a = 20

the longest side is the hypotenuse so side c (28 in) will be the hypotenuse.

According to the Pythagorian theorem, the square of the length of hypotenuse must equal to the sum of squares of other two sides.

check:

c^2 = 28^2 = 784

a^2 + b^2 = 21^2 + 20^2 = 841

because c^2 is not equal to a^2 + b^2, the triangle is not a right triangle.

7 0
3 years ago
Ask a 1 grade question and my brother will answer it
Sliva [168]
10 +10 good luck have fun
7 0
3 years ago
Read 2 more answers
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