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WARRIOR [948]
3 years ago
7

What is the y-intercept of a line perpendicular to y= 1/2x + 6 that passes through the point (4,-3)

Mathematics
1 answer:
zalisa [80]3 years ago
5 0

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

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Two numbers in a ratio 5:4 . Their sun is 720.find the bigger number.show your reasoning
alina1380 [7]
5x + 4x = 720
9x = 720 (divide by 9)
X= 80
In order to get the bigger ratio, which is 5, you would substitute x for 80. (I'm bad at explaining)
Work:
5(80)= 400
6 0
2 years ago
F(x)= 2x +6 , vertical shrink by a factor of 1/2
Andrew [12]

Answer:

g(x) = x+3.

Step-by-step explanation:

i hope this helps :D

5 0
3 years ago
A square field has an area of 479 ft what is the approximate length of a size of the field
MissTica

Answer:

21.9 ft

Step-by-step explanation:

The area of a square is the square of the side length, so the side length is the square root of the area:

... s = √(479 ft²) ≈ 21.886 ft

This is approximately 21.9 ft.

4 0
2 years ago
An item costs $45.60. If there is a 30% discount on the item, what is the discounted cost of the item?
kondor19780726 [428]
Discounted Cost= Cost of Item - (Cost of Item * % Discount)


= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)

= 45.60 - (45.60 * 0.30)
multiply in parentheses

= 45.60 - 13.68

= $31.92 discounted cost


ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).

Hope this helps!  :)
6 0
3 years ago
Find the measure of angle K.
BabaBlast [244]
Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.

The sum of three angles should add up to 180°. 

148° + 11° + K = 180°

Where k is the missing angle.

Solve for K.

Combine like terms.

148° + 11° + K = 180°
159° + K = 180°

Subtract both sides by 159°.

159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°

So, the missing length is 21°.
7 0
2 years ago
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