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2 years ago

Complete all 3 questions.

Mathematics

1 answer:

nalin [4]2 years ago

3 0

Answer:

1.x^2-5x

2.2x^2+15x+18

3. x^2+20x+18

Step-by-step explanation:

1. x(x-5) x*x-5*x = x^2-5x

2. (x+6)(2x+3) x*2x+x*3+6*2x+6*3= 2x^2+15x+18

3.(2x^2+15x+18)-(x^2-5x)=x^2+20x+18

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Tuto

Damm [24]

Answer:

8r+8pg-pq

Step-by-step explanation:

The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg

Hope this helps!

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2 years ago

A. B. C. D. Please help

poizon [28]

Answer:

Clearly, the answer is 20/9, simplify it, and thats your answer! <3

Hope that helped! <3

Byee!

3 0

2 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

Slope:

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

Slope:

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.

sleet_krkn [62]

Answer: $270

Step-by-step explanation:

I = prt

I = 0.18 x 750 x 2

I = 135 X 2

I = 270

6 0

3 years ago

Read 2 more answers

What is 26.99 round to the nearest tenth

Arte-miy333 [17]

Salutations!

To round to the nearest tenth, you need know whether the number next to tenth place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down. Now, in the number 26.99 9 is in the tenth place. The number next to 9 is greater than 5, so just add on to the ones place, making the tenth and hundredth place 0. Zero has no value so whether you add the zero or not, it does not matter.

26.99 round to the nearest tenth ≈ 27

Hope I helped (:

Have a great day!

5 0

3 years ago