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jeka94
4 years ago
5

Solve for x. Remember to check for extraneous solutions. √(x-3) = √(x+2) + 1. Choices: a. 6 b. No solution c. 7 d. 9

Mathematics
1 answer:
murzikaleks [220]4 years ago
8 0
Choice B, no solution.
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ivolga24 [154]
I believe the answer is idk cause I’m not that smart
8 0
4 years ago
Read 2 more answers
The area of a triangle is 96in^2. The height of the triangle is 8 inches. Find the perimeter of the triangle if each side of the
Pepsi [2]
Area of triangle = I/2*b*h
96 = I/2*b*8
96 = 4b
24in = b
Therefore perimeter = 24*3
= 72in
8 0
3 years ago
Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB
ioda

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

5 0
3 years ago
Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which
vovangra [49]

Answer:

Option C.

Step-by-step explanation:

The vertices of triangle PQR are P(3, −6), Q(6, −9), and R(−15, 3).

It is given that triangle PQR dilated by a scale factor of 3 to obtain triangle P′Q′R′.

We know that a figure and its image after dilation are similar. It means triangle PQR and triangle P′Q′R′

If a figure dilated by factor k about the origin then

(x,y)\rightarrow (kx,ky)

PQR dilated by a scale factor of 3, so

(x,y)\rightarrow (3x,3y)

Using this rule we get

P(3,-6)\rightarrow P'(3(3),3(-6))=P'(9,-18)

Q(6,-9)\rightarrow Q'(3(6),3(-9))=Q'(18,-27)

R(-15,3)\rightarrow R'(3(-15),3(3))=R'(-45,9)

The vertices of image are P'(9,-18), Q'(18,-27) and R'(-45,9).

Therefore, the correct option is C.

6 0
3 years ago
What is a matrix for a system of equations that does not have a unique solution?
lisabon 2012 [21]

the slopes of these lines are equal when the determinant of the coefficient matrix is zero. Thus, for homogeneous systems we have the following result: A nxn homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero.

8 0
3 years ago
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