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2 years ago

Solve the equation: (5y + 2)(y - 3) = -13(2 + y)

Mathematics

1 answer:

storchak [24]2 years ago

7 0

Answer:

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

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Write the ordered pair that represents yzThen find the magnitude of yz.<br> Y(5,0), Z(7,6)

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Step-by-step explanation:

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2 years ago

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Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at

r-ruslan [8.4K]

Answer:

a) See figure attached

b) $x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

c) $h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

$\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}$

$r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft$

Then we can use the same law in order to find the valueof x liek this:

$\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}$

$x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

$sin (59) = \frac{h}{35}$

And if we solve for h we got:

$h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

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2 years ago

what is the exact area of a circle with a radius of 12 feet? A. 24π square feet B. 36π square feet C. 121π square feet D. 144π s

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2 years ago

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What is the solution to the equation t-15=76

geniusboy [140]

Answer:

T = 91

Step-by-step explanation:

Simplifying

T + -15 = 76

Reorder the terms:

-15 + T = 76

Solving

-15 + T = 76

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + T = 76 + 15

Combine like terms: -15 + 15 = 0

0 + T = 76 + 15

T = 76 + 15

Combine like terms: 76 + 15 = 91

T = 91

Simplifying

T = 91

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