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2 years ago

14

Find the solutions to the equation by completing the square. x2-6x=7

1 answer:

lianna [129]2 years ago

3 0

Subtract 7 from both sides

x^2 - 6x - 7 = 7 - 7

Simplify

x^2 - 6x - 7 = 0

Answer :

The final solutions to the quadratic equation are:

x = 7, -1

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25 POINTS! MATCHING PROBLEM!

Nataly_w [17]

1. f(x) = 1
2. f(x) = x
3. f(x) = 5 - x
4. f(x) = 3

8 0

3 years ago

One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

So

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

3 0

2 years ago

7-x= 49<br> Solve the exponential equation

hjlf

Answer:

x=-42 to check ur answer place it like this 7-(-42) =49 which is correct

8 0

3 years ago

Use the slope-intercept form to Graph y=-1/8x+2

noname [10]

Step-by-step explanation:

This is a straight line equation. We only need two points to draw a straight line.

Choose two different numbers, put them into the equation instead of x, and calculate the value of y.

$y=-\dfrac{1}{8}x+2$

for x = 8

$y=-\dfrac{1}{8}\cdot8+2=-\dfrac{8}{8}+2=-1+2=1$

<h2>(8, 1)</h2>

for x = -8

$y==-\dfrac{1}{8}\cdot(-8)+2=\dfrac{8}{8}+2=1+2=3$

<h2>(-8, 3)</h2>

Mark the points in the coordinate system and draw a straight line through the given points.

<em>(look at the attachment)</em>

4 0

2 years ago

Divide 1.20m in the ratio 2:3:4 in a clear way

tatuchka [14]

2:3:4 gives 9 equal parts.
1.20 divided by 9 is 0.133.

2 * 0.133 would be 0.266m
3 * 0.133 would be 0.399m
4 * 0.133 would be 0.533m

To check this calculate 0.533 + 0.399 + 0.266 would be 1.198m (close enough)

4 0

3 years ago