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2 years ago

Write the slope-intercept equation of the line passing through (-2,-5) with a slope of 0

1 answer:

5 0

We want to find the slope-intercept equation of the line passing through (-2,-5) with a slope of 0.

Note that since the slope is 0, the line will be horizontal, as there will be no change.

And since it passes through the point (-2,-5), the equation of the horizontal line must be y = -5. Since the line is horizontal, the x-coordinate is irrelevant.

In conclusion, our equation is y = -5.

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3. Solve the inequality –2(z + 5) + 20 > 6.

12345 [234]

$\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

Solution:

Given inequality is:

$-2(z+5)+20>6$

We have to solve the given inequality

$-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14$

$Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)$

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

$\left(-2\left(z+5\right)\right)\left(-1\right)$

Thus the solution to inequality is:

$-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

4 0

3 years ago

Write an expression equivalent to b^10/b^5 in the form b^m.

Mars2501 [29]

B^5 when you’re dividing exponents, just subtract!

4 0

3 years ago

$36 - $12.75 = Pls answer

Lyrx [107]

$36 - $12.75 is $23.25

6 0

2 years ago

Read 2 more answers

In the diagram below, LATE is an isosceles trapezoid with LE ≅ AT , LA = 24, ET = 40, and AT = 10. Altitudes LF and AG are drawn

weqwewe [10]

Answer:

Step-by-step explanation:

From the Trapezoid attached :

EF = GT

FG = LA

LE = AT = 10

LA = 24 ; FG = 24

FG + EF + GT = 40

Let : EF and GT = x

FG + 2x = 40

24 + 2x = 40

2x = 40 - 24

2x = 16

x = 16 ÷ 2 = 8

Hence, EF = GT = 8

Using Pythagoras :

Opposite² = hypotenus² - Adjacent²

LF² = LE² - FE²

LF² = 10² - 8²

LF² = 100 - 64

LF² = 36

LF = √36

LF = 6

4 0

3 years ago

Drag each label to the correct location on the graph. Not all labels will be used.

mamaluj [8]

Answer:

Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.

4 0

2 years ago