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emmainna [20.7K]
3 years ago
11

Graph the line with the equation y = -x + 7.

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
Put the first point at (0,7) then move left by 5 and up by 1, then one going right 5 and down 1 from the y intercept.
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Solve the equations for all values of x by completing the square x^2+62=-16x
lorasvet [3.4K]

Answer:

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Hope this helped!

4 0
3 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
aivan3 [116]

Answer:

the answer is a

8 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $235 to spend on parking and admission. Parking is
STALIN [3.7K]
228/28.50= 8 that should be right!
3 0
3 years ago
No Links plz<br> help plzz<br> (0000.7x4x6+8to the power of 2)x(16x 8 to the power of 8x5+2)
valentina_108 [34]

Answer:

80.8

Step-by-step explanation: 0.7x4x6=16.8

16.8+8 to the 2nd power= 80.8

6 0
3 years ago
Cos s=-2/5 and sin t=4/5, s and t are in quadrant II<br> find cos(s+t) and cos(s-t)
mojhsa [17]

Answer:

•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25

•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25

cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗

sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5

5 0
3 years ago
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