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maks197457 [2]
3 years ago
13

Pairs of angles nonadjacent formed when a transversal intersects two lines so that they lie on the same side of the transversal

and on the same side of the lines are called__________.
Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

Corresponding Angles

Step-by-step explanation:

Corresponding Angles

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A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.
HACTEHA [7]

Answer:

-\frac{1}{2}y^2-4y+1=x

Step-by-step explanation:

A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

General form of  horizontal parabola is

(y-k)^2=4p(x-h)

the distance between directrix and focus is the value of p

so p = 8.5 - 9.5 = -0.5

Focus is (h+p , k), given focus is (8.5, -4)

So k = -4 and h+p = 8.5

we know p = -0.5

h +p = 8.5

h - 0.5 = 8.5

so h= 9                   and k = -4

vertex is (h,k) that is (9, -4)

Now plug in the value in the general equation

(y-k)^2=4p(x-h), k= -4, h= 9 , p = -0.5

(y+4)^2=4(-0.5)(x-9)

(y+4)^2=-2(x-9)

y^2+8y+16=-2x+18

subtract 18 on both sides

y^2+8y-2=-2x

Divide whole equation by -2

-\frac{1}{2}y^2-4y+1=x




4 0
3 years ago
What is another expression that is equivalent to 12-16x
sergij07 [2.7K]
4(3-4x) . This is solved by factoring a 4 out of the equation. Distributing the 4 in the answer will provide the same equation as the one questioned.
5 0
3 years ago
Please help Ill give brainlest
sveticcg [70]

Answer: D

Step-by-step explanation:

6 0
3 years ago
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Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.
stich3 [128]
We are asked to express cos^ 3 x in terms of  powers of trigonometric functions not greater than 1

cos ^ 3 x is equal to cos x * cos^2 x. 
<span>cos^2 x = 1 - sin^2 x.
</span>sin^2 x  = (1 - cos 2x) /2 

the answer is cos ^ 3 x = cos x * (1 - <span> (1 - cos 2x) /2 )</span>




5 0
3 years ago
Find the value of x ​
maks197457 [2]

Answer:

Step-by-step explanation:

∠S=180-(54+62)=180-116=64°

using sin formula

\frac{x}{sin~64} =\frac{7}{sin~62} \\x=\frac{7~sin~64}{sin~62} \approx 7.1256 \approx 7.13

6 0
3 years ago
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