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Serhud [2]
3 years ago
14

Solve x2+6x=7 by completing the square.Which is the solution set of the equation?

Mathematics
1 answer:
NARA [144]3 years ago
4 0

Answer:

x = - 7, x = 1

Step-by-step explanation:

Given

x² + 6x = 7

To complete the square

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

x² + 2(3)x + 9 = 7 + 9

(x + 3)² = 16 ( take the square root of both sides )

x + 3 = ± \sqrt{16} = ± 4 ( subtract 3 from both sides )

x = - 3 ± 4

x = - 3 - 4 = - 7

x = - 3 + 4 = 1

Solution set = { - 7, 1 }

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Please help me!! I am struggling... I will not accept nonsense answers!
telo118 [61]

Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°

6 0
3 years ago
What are the equivalent fractions for 2 1/5 and 1 5/6 using 30 as the common denominator
Anuta_ua [19.1K]

Answer:

2 6/30 and 1 25/30

Step-by-step explanation:

First, you need to find 30÷5 and 30÷6. You do this because you need to know the multiplier when you create an equivalent fraction. 30÷5 is 6 and 30÷6 is 5. 2 1/5. You need to multiply the 1 and 5 by 6, that is 2 6/30. 1 5/6. 5 and 6 multiplied by 5 is 25 and 30. 1 5/6=1 25/30

4 0
2 years ago
Find the expressions for x=6 and y=17 x ÷ 3 + y
hjlf
19 because 6 divided by 3 = 2 + 17 ?
3 0
3 years ago
Read 2 more answers
A bank is offering 2.5% simple interest on a savings account . if you deposit $5000, how much interest will you earn in one year
hjlf

Answer: $1,500

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4 0
2 years ago
Please help me somebody!!! I really struggle with this in math class!
Tresset [83]

Answer:

y - 9 = -\frac{4}{3}(x - 3)  

Step-by-step explanation:

Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.

In order to solve for the slope (<em>m </em>), use the following formula:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) =  (3, 9)

     (x₂, y₂) = (9, 1)

Substitute these values into the given formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 9)/(9 - 3)

m = \frac{-8}{6} = \frac{-4}{3}

Therefore, the slope of the line, m = -4/3.

Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

y - 9 = -\frac{4}{3}(x - 3)  ⇒ This is the <u>point-slope form</u>.

4 0
2 years ago
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