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Ksju [112]
3 years ago
10

Write and equivalent expression for 5x - 2(x-4)

Mathematics
1 answer:
enyata [817]3 years ago
5 0
5x-2x+8
3x+8
I think this is correct
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Which two statements are missing in steps 3 and 4?
Snezhnost [94]

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. AB=6 units

YZ=3 units

BC=8 units

XY=4 units, then

\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2

2. \angle B and \angle Y are right angles - given

3.  \angle B\cong \angle Y two right angles are always congruent.

4. \triangle ABC\sim \triangle ZYX by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

4 0
3 years ago
Read 2 more answers
For #1 we’re adding/subtracting/multi polynomials I need the answer for #1 its kind of shaded off
lubasha [3.4K]

Answer:

- 6x² - 2x + 1

Step-by-step explanation:

Given

(2x³ - 4x² - 3x + 5) + (- 2x³ - 2x² + x - 4)

Both parenthesis are distributed by 1 thus just remove them

= 2x³ - 4x² - 3x + 5 - 2x³ - 2x² + x - 4  ← collect like terms

= - 6x² - 2x + 1

6 0
3 years ago
8+9x1x2 to the second power it has the 2 above the 2 but I just can't put it there on this
Gnoma [55]
The correct answer is 44
8 0
3 years ago
A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in
Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

s(t) =16t^2+32t

We can replace there s = 215 ft to get

215=16t^2+32t

Solving for the time t.

From the previous equation we can move all terms in one side to get

16t^2+32t-215=0

At this point we can solve for t using quadratic formula.

t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

where a, b and c are the coefficients of the quadratic equation

at^2+bt+c=0

So we get

a=16\\b=32\\c=-215

Replacing on the quadratic formula we get

t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}

Using a calculator we get

t=-4.8 , t = 2.8

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0
3 years ago
The peso is the currency of Mexico. On October 17, 2016, the exchange rate for 1 Mexican peso was $0.053 U.S. If a traveler exch
Allushta [10]

1 peso = 0.053 dollars.

x pesos = 400 US dollars.

1/x = 0.053 / 400                  Cross multiply

400 * 1 = 0.053 x                  Divide by 0.053

400/0.053 = 0.053*x / 0.053

7547.17 pesos which rounded  is

Answer: 7547 pesos

4 0
3 years ago
Read 2 more answers
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