-7(-8) = 56 [multiplication of two negative numbers gives a positive number]
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: brainly.com/question/14285697
Answer:
Use the midpoint formula
Step-by-step explanation:
(-6 + 0 ) ÷ 2 , (-3 + 3) ÷ 2
M = ( -3 , 0) which lies on the x axis
<h3>
Answer:</h3>
y = 2x + 5
<h3>
Step-by-step explanation:</h3>
<u>Definitions</u>:
Slope Intercept form; y = mx + b
m = slope
b = y intercept
Step 1: Since the slope is given plug it into y = mx
y = 2x + b
Step 2: Plug a points' x and y into their corresponding spots to solve for b
(33) = 2(14) + b
Simplify and solve
33 = 28 + b
-28 -28
5 = b
Plug both your slope in and your y intercept into y = mx + b
y = 2x + 5
I agree with what that person told you. The expression -2(x+10) is equivalent to -2x-20
Multiply the outer -2 with the inner x to get -2 times x = -2x
Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20
So overall, -2(x+10) = -2x-20
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So that's how we're able to go from this

to this

The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number.