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miv72 [106K]
3 years ago
7

I need a step by step explanation how to solve for the solutions of this (Not by graphing)

Mathematics
1 answer:
tester [92]3 years ago
5 0

Answer:

(0, 15) and (11, 48)

Step-by-step explanation:

Given the 2 equations

y = x² - 8x + 15 → (1)

y = 3x + 15 → (2)

Substitute y = x² - 8x + 15 into (2)

x² - 8x + 15 = 3x + 15 ( subtract 3x + 15 from both sides )

x² - 11x = 0 ← in standard form

x(x - 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

x - 11 = 0 ⇒ x = 11

Substitute these values into (2) for corresponding values of y

x = 0 : y = 0 + 15 = 15 ⇒ (0, 15)

x = 11 : y = 33 + 15 = 48 ⇒ (11, 48)

Solutions are (0, 15), (11, 48)

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x=30

Step-by-step explanation:

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Help me on all of the questions below plz
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7 0
2 years ago
Find the measure of angle A (please help!!!)
mel-nik [20]

Answer: 41 degrees

Step-by-step explanation:

so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:

i rewrote it and removed the parentheses.

4x + 1 + 4x + 19 = 100

then, i collected like terms and calculated it.

8x + 20 = 100

then, i moved the constant to the right.

8x = 100 - 20

then, i simply calculated it.

8x = 10

solution: x = 10

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7 0
2 years ago
PLEASE HELP. I NEED THIS ASAP.
padilas [110]
Don’t know sorry I need point
6 0
2 years ago
Read 2 more answers
Find ij i need help with this
Nuetrik [128]

Answer:

IJ is going to be 5400.

Step-by-step explanation:

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90 is the right angle on J.

I is 60 degrees.

8 0
2 years ago
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