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Colt1911 [192]
3 years ago
5

Translate word sentences into algebraic expressions

Mathematics
1 answer:
ELEN [110]3 years ago
3 0
D. is the correct answer to your question
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This is quadratic equations <br> Help asap!!
lord [1]

Answer:

x = - 3 ± \sqrt{2}

Step-by-step explanation:

x² + 6x + 7 = 0 ( subtract 7 from both sides )

x² + 6x = - 7

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 7 + 9

(x + 3)² = 2 ( take square root of both sides )

x + 3 = ± \sqrt{2} ( subtract 3 from both sides )

x = - 3 ± \sqrt{2}

3 0
2 years ago
2+6i/2-4i = a + bi What is the value of a? What is the value of b?
Talja [164]

\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1

6 0
3 years ago
A carpenter leans a 20-foot ladder against a building so that an angle of 60° is formed between the ladder and the ground. How m
iogann1982 [59]

Answer:

The foot of the ladder is

10

feet away from the base of the wall.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the length of ab
tia_tia [17]
Apply the Pyth Thm twice:  

diagonal of base is sqrt(4^2+6^2).

Then the length of diagonal AB is L = [sqrt(4^2+6^2)]^2 + [sqrt(1)]^2
3 0
3 years ago
Suppose that the relation H is defined as follows.
9966 [12]
ANSWER:
Domain: {3, 7, 4, a}
Range: {a, b, 4, 0}
3 0
3 years ago
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