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antoniya [11.8K]
3 years ago
11

What is the equation of the line that passes through the point (2,7) and has a slope of -4

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer:

D. y - 7 = -4 (x - 2)

Step-by-step explanation:

y - 7 = -4 (x - 2)

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∠ACB is inscribed in semicircle ACB of a circle with centre O then m∠ACB =
Zolol [24]
<h2>Answer:</h2>

[C] 90°.

<u>It is Because ∠ACB is formed by the diameter of the semicircle</u>.

<u>And we already know that, the angle formed by diameter measure 90° to the circle or semicircle</u>.

6 0
3 years ago
Read 2 more answers
1.)The angle θ lies in Quadrant IV. sinθ=−2/3 What is cosθ?
AveGali [126]

Answer:

1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.

answer : cos x = √5/3

2.  4/3

3.  sin (- theta)  = - sin (x)        so sin x = 1/6

 tan = sin / cos   =  1/6  /  cos  =  - sqrt35/35     solve for cos

                        cos =  1/6 * (-35/sqrt35)

                       

                                  = -35 sqrt35 /210

answer : −35/√210

4. The cosine function is an even function, so cos(θ) = cos(-θ).

The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)

For sin(θ) < 0 and cos(θ) = (√3)/4,  sin(θ) = -√(1 -3/16) = -√(13/16)

sin(θ) = -(√13)/4   For sin(θ) < 0 and cos(0) = √(3/4), ...

sin(θ) = -√(1 -3/4) = -√(1/4)       sin(θ) = -1/2

answer : -13/√4

5.  answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step

4 0
4 years ago
REALLY HARD QUESTION!!!!<br><br>What is 2 + 2?? ​
kondaur [170]

Answer:

22!

Step-by-step explanation:

Its just simple

5 0
3 years ago
Five added to 3 times a number is equal to 8 less then 5 times the number
RSB [31]

The answer is C. 3x+5= 5x -8

6 0
4 years ago
4x + 5y = 10
Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

ax+by = c

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16

"In order for a system of equations to have infinity many solutions,

\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} "

Putting the values we get

\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0
3 years ago
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