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Advocard [28]
3 years ago
5

Simplify the function

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

Step-by-step explanation:

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12.
pashok25 [27]

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8 0
4 years ago
The area of a rectangle is 77ft and the length of the rectangle is 3ft more than double the width. Find the dimensions of the re
Radda [10]
Let b= length and a=width
Area= a*b  and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3)   and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.

3 0
4 years ago
4−d&lt;4+d, solve for d<br><br> d&gt;0<br> d&gt;−4<br> d&gt;−8<br> d&gt;8
Harrizon [31]
4-2d<4
-2d>0
d>0 the answer to the question


4 0
3 years ago
Find the number that makes each statement true.
Harrizon [31]
1) 30
2) 800
3) 500
4) 4,000
5) 9
6) 600
7) 7,000
8) 200,000
9) 2,000 * 10 = 20,000. 20,000 * 10 = 200,000.
6 0
4 years ago
CAN ANYBODY HELP ME OUT
bija089 [108]

Answer:

Correct option is

b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.

Step-by-step explanation:

Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.

The foot S of PS is on the line RQ.

First of all, let us do a construction here.

Join the point R with P and P with Q.

Please refer to the attached image.

Now, let us consider the triangles  PQS and PRS:

  • Side QS = RS (as given)
  • \angle PSR = \angle PSQ = 90^\circ
  • Side PS = PS (Common side in both the triangles)

Now, Two sides and the angle included between the two triangles are equal.

So by SAS congruence we can say that \triangle PRS \cong \triangle PQS

Therefore, the corresponding sides will also be equal.

RP = QP

RP is the distance between R and P.

QP is the distance between Q and P.

Hence, to prove that P is equidistant from R and Q, we have proved that:

b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.

7 0
3 years ago
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