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Olin [163]
4 years ago
7

The variable q stands for a prime nnumber. Make a factor tree. Then write the prime factorization without expression

Mathematics
1 answer:
Deffense [45]4 years ago
7 0
I have no clue sorry
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Solve for x: −3|x + 7| = −12
kykrilka [37]
-3Ix + 7I = -12              (divide -3 from each side)

Ix + 7I = -12/3

Ix + 7I = -4

x + 7 = -4     or      -x - 7 = -4

 x = -11          or       -x = 3  
                                  x = - 3


x = -3 or -11
4 0
4 years ago
Read 2 more answers
What is the perimeter of a rectangle x^2+zx+7 length and -2x+8 width
VladimirAG [237]

Answer:

the answer and steps are pictured above

8 0
3 years ago
PLEASE HELP ME WITH ALGEBRA! THANK YOU
ioda

Answer:

She will do 61 sit ups.

Step-by-step explanation:

The number of situps are increasing by 4 each day.

So at this rate...

Day 6: 37

Day 7: 41

Day 8: 45

Day 9: 49

Day 10: 53

Day 11: 57

Day 12: 61

6 0
3 years ago
Read 2 more answers
Find the area of a triangle with vertices at D(2, 0), E(–1, 0), and F(2, –7).
MAVERICK [17]

Answer:

\frac{21}{2} units²

Step-by-step explanation:

D and E lie on the x- axis and F is vertically below D

The triangle formed is right at D with legs of length 3 and 7

The area (A) of a right triangle is found using the formula

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

here b = 3 and h = 7, hence

A = \frac{1}{2} × 3 × 7 = \frac{21}{2} units ²

3 0
3 years ago
Find two values of c in (− π/ 4 , π /4) such that f(c) is equal to the average value of f(x) = 2 cos(2x) on ( − π/ 4 , π/ 4 ). R
pentagon [3]

Answer:

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

Step-by-step explanation:

the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is

av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4

thus

av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 -  (-π/ 4)]

= 2*sin (π/2) /(π/2) = 4/π

then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are

 4/π = 2 cos(2c)  

2/π = cos(2c)

c = 1/2 cos⁻¹ (2/π) = 0.44

c= 0.44

since the cosine function is symmetrical  with respect to the y axis then also c= -0.44 satisfy the equation

thus

c₁ = 1/2 cos⁻¹ (2/π) = 0.44

c₂ = -1/2 cos⁻¹ (2/π) = -0.44

4 0
4 years ago
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