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tresset_1 [31]
3 years ago
9

Write the equation of a line that is

Mathematics
1 answer:
zvonat [6]3 years ago
6 0

Answer:

y=0.5x-5

Step-by-step explanation:

Since the equation is parallel, this means that the slope remains the same which is 0.5.

The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.

-2=0.5(6)+b

When solving for b, it will equal to -5.

Therefore the new equation that is parallel is y=0.5x-5

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Which of the following tables shows the correct steps to transform x^2+6x + 8=0
Vlad1618 [11]
Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...

x^2+6x+8=0  move constant to other side, subtract 8 from both sides

x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9

x^2+6x+9=1  now the left side is a perfect square of the form

(x+3)^2=1  take the square root of both sides

x+3=±√1  subtract 3 from both sides

x=-3±√1

x=-3±1

x=-4 and -2

Since the zeros occur when x=-4 and -2 the factors of the equation are:

(x+2)(x+4)
7 0
3 years ago
How do I solve this? It says solve each right angle and then to round answers to the nearest tenth.
mariarad [96]

Answer:

19.2

Step-by-step explanation:

Add 12 squared to 15 squared(144+225)

Square root the answer(\sqrt{369})

Round to the nearest tenth(19.209)

7 0
3 years ago
A poster is shown below: A rectangle is shown. The length of the rectangle is labeled 10 feet. The width of the rectangle is lab
makkiz [27]
The enlarged length is (3/2)*10 ft = 15 ft.
The enlarged width is (3/2)*4 ft = 6 ft.

The dimensions of the enlarged poster are ...
  <span>6 ft by 15 ft</span>
6 0
3 years ago
Read 2 more answers
A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it ta
larisa [96]

The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

<h3>How to interpret the equation?</h3>

The equation of the line of best fit is given as:

y = 9.5x

Divide both sides by x

9.5 = y/x

From the question, we have:

  • x ⇒ number of miles run
  • y ⇒ time

This means that:

9.5 = number of miles run/time

Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

Read more about scatter plots at:

brainly.com/question/6592115

#SPJ1

8 0
2 years ago
Solve for the following equation step by step and justify your steps when using an exponential property.
mel-nik [20]

x = \frac{5}{7}

using the ' laws of exponents '

• a^{m} × a^{n} = a^{( m + n )}

•  a^{m} ÷ a^{n} = a^{(m - n)}

• (a^{m})^n = a^{mn}

7^{2} × 7^{3} = 7^{5} ÷ 7^{3x} = 7^{5 - 3x}

7^{4x} = 7^{5 - 3x}

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x =\frac{5}{7}




4 0
3 years ago
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