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rusak2 [61]
3 years ago
7

Y^2 + 6y + 9 = 49 factor

Mathematics
2 answers:
andreev551 [17]3 years ago
8 0
(y+10)(y-4)

Explanation:
In order to solve you must set the equation to 0. Meaning you subtract 49 from 9 to get the original equation to now be y^2+6y-40.
You then set that equation (y^2+6y-40) to zero in order to factor it out.
To do this, you have to find two numbers that multiply to make -40 but add to make 6, which is where you get 10 and -4.
Hope this helped! :)
Tju [1.3M]3 years ago
4 0

Answer:

(y+3)^2

Step-by-step explanation:

I hope i helped!

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Answer:

125.74 units

Step-by-step explanation:

30.18 units

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3 years ago
Jessie painted a rectangular wall that measured 7 yards by 3 yards.
Lunna [17]

Answer:

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Step-by-step explanation:

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Which expression gives the distance between the points (2,5) and (-4, 8)?
german

Answer:

A. (2+4)² +(5-8)²

Step-by-step explanation:

To find then distance between two points, we will follow the steps below;

write down the formula

D = √(x₂-x₁)²+(y₂-y₁)²

(-4, 8)

x₁=-4

y₁ = 8

(2,5)

x₂=2

y₂=5

we can now proceed to insert the values into the formula

D = √(x₂-x₁)²+(y₂-y₁)²

   

   = √(2+4)²+(5-8)²

    =√(6)² + (-3)²

   =√36+9

   =√45

Therefore the expression which gives the distance between two the two points is  (2+4)² +(5-8)²

7 0
4 years ago
Use your understanding of the unit circle and trigonometric functions to find the values requested.
vfiekz [6]

Answer:

a) For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

b) From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

Part b

From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

6 0
3 years ago
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