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Mashutka [201]
3 years ago
11

What is [(a+b)³]² simplified? A. (a +b) 3/2 B. (a+b)^5 C. (a+b)^1 D. (a+b)^6

Mathematics
1 answer:
Tresset [83]3 years ago
3 0

Answer:

<u>D. (a+b)⁶</u> is the right answer.

Step-by-step explanation:

[(a+b)³]²=(a+b)³*²=(a+b)⁶

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What is the dot product of u = (11, 4, -2) and v = (-1, 3, 8)
NARA [144]
11.-1+4.3+-2.8
-11+12-16
-15
I think
4 0
3 years ago
What is the value of X? Enter answer as a decimal...
lozanna [386]

Answer:

37.89051724=x

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the same side of the small triangle over the large triangle.

MA         MB

------- = ----------

MN         MP

80.5 -35         x

------------- = ----------

70.5               96.6 -x

Simplifying

45.5             x

------------- = ----------

70.5               96.6 -x

Using cross products

45.5 (96.6-x) = 70.5x

Distribute

4395.3 - 45.5 x = 70.5x

Add 45.5x to each side

4395.3 - 45.5 x+45.5x = 70.5x+45.5x

4395.3 = 116x

Divide each side by 116

4395.3/116 = 116x/116

37.89051724=x

6 0
3 years ago
Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
vodomira [7]
(24, 12) and (36, 0).  The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0.  These two points satisfy both conditions and both sum to 36.
7 0
3 years ago
Read 2 more answers
The area of Terry's room at the old house was 96 ft.2. The area of Terry's room at the new house is 108 ft.2
Finger [1]

Answer:

12.5%

Step-by-step explanation:

First we need to calculate the change in the area of Terry's room this is

108 ft2 - 96 ft2 = 12 ft2

Then we use a direct proportion in order to find the percentage

96 ft2 ----- 100%

12 ft2 ----- p?

Solvin for p we have that

p=\frac{12\times 100}{96}

p=12.5

3 0
3 years ago
Read 2 more answers
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ______ units. The poi
nalin [4]
Circle formula
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center
and r=radius

to find the radius
we are given one of the points and the center
distnace from them is the radius
distance formula
D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}
points (-3,2) and (1,5)
D=\sqrt{(1-(-3))^{2}+(5-2)^{2}}
D=\sqrt{(4)^{2}+(3)^{2}}
D=\sqrt{16+9}
D=\sqrt{25}
D=5

center is -3,2
r=5
input
(x-(-3))^2+(y-2)^2=5^2
(x+3)^2+(y-2)^2=25 is equation
radius =5
input -7 for x and solve for y
(-7+3)^2+(y-2)^2=25
(-4)^2+(y-2)^2=25
16+(y-2)^2=25
minus 16
(y-2)^2=9
sqqrt
y-2=+/-3
add 2
y=2+/-3
y=5 or -1

the point (-7,5) and (7,-1) lie on this circle



radius=5 units
the points (-7,5) and (-7,1) lie on this circle

3 0
3 years ago
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