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rodikova [14]
2 years ago
6

On the coordinate plane below, triangle ABC was rotated

Mathematics
1 answer:
agasfer [191]2 years ago
7 0

Answer: AB/y = BC/z = AC/x

Step-by-step explanation:

Side AB corresponds to side y, side BC corresponds to side z, and side AC corresponds to side x.

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Which ordered pair is a solution to the system?
andreev551 [17]
The answer is C.(-2,3)<span />
7 0
3 years ago
The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this
crimeas [40]
Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
A=\frac{a+b}{2} \times h

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39

The area is 39 square units.

5 0
3 years ago
Read 2 more answers
The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 6 millimeters. One of the base lengths of the t
krok68 [10]
39×2÷6=13
13-5=8 mm. The other base of the trapezoid is 8 mm. Let check it:
1/2(8+5)×6
=1/2×13×6
=39 square mm. Hope it help!
5 0
3 years ago
Differential cos^2x dy/dx =e^y-tanx​
gulaghasi [49]

Answer:

y=t−1+ce

−t

where t=tanx.

Given, cos

2

x

dx

dy

+y=tanx

⇒

dx

dy

+ysec

2

x=tanxsec

2

x ....(1)

Here P=sec

2

x⇒∫PdP=∫sec

2

xdx=tanx

∴I.F.=e

tanx

Multiplying (1) by I.F. we get

e

tanx

dx

dy

+e

tanx

ysec

2

x=e

tanx

tanxsec

2

x

Integrating both sides, we get

ye

tanx

=∫e

tanx

.tanxsec

2

xdx

Put tanx=t⇒sec

2

xdx=dt

∴ye

t

=∫te

t

dt=e

t

(t−1)+c

⇒y=t−1+ce

−t

where t=tanx

8 0
2 years ago
PARAMETRIC EQUATIONS HELP!!!
Alona [7]

Answer:

1. Option A

2. Option B

Step-by-step explanation:

I would like to elaborate on the answer to the second question, since the first answer is actually  option a. Why? The question asks for a parametric equation, not set, so it would be choice a.

2. x=3t + 5 - isolate t

t=(x-5)/3 - substitute into the second equation

y = [(x-5)/3]^2 - 1

your solution is  option b

4 0
2 years ago
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