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aev [14]
3 years ago
10

Help?? How would I solve this to get my answer? Help please

Mathematics
1 answer:
bixtya [17]3 years ago
4 0

Answer:

(3, 6)

Step-by-step explanation:

D₃ means a dilation of 3, and R₁₈₀ means a rotation of 180°.

D₃ (-1, -2) = 3 (-1, -2) = (-3, -6)

R₁₈₀ (-3, -6) = (3, 6)

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Can someone please help me with this
omeli [17]

Answers:

  • x = 3
  • CD = 21
  • DE = 16
  • CE = 21

=============================================================

Explanation:

The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.

CE = CD

16x-27 = 4x+9

16x-4x = 9+27

12x = 36

x = 36/12

x = 3

This x value then leads to the following:

  • CD = 4x+9 = 4*3+9 = 12+9 = 21
  • DE = 7x-5 = 7*3-5 = 21-5 = 16
  • CE = 16x-27 = 16*3-27 = 48-27 = 21

We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.

5 0
2 years ago
Read 2 more answers
Help answering this simple Series Question? I don't know what I did wrong!
Tatiana [17]
Looks like you just evaluated the summand for the given value of n, whereas the question is asking you to find the value of the sum for the first n terms.

Let S_k=\displaystyle\sum_{n=1}^k\frac3{(-2)^n}. Then S_k is the kth partial sum.

S_1 happens to be the first term in the series, which is why that box is marked correct:

S_1=\displaystyle\sum_{n=1}^1\frac3{(-2)^n}=\frac3{(-2)^1}=-1.5

But the next partial sum is not correct:

S_2=\displaystyle\sum_{n=1}^2\frac3{(-2)^n}=\frac3{(-2)^1}+\frac3{(-2)^2}=-0.75

and this is not the same notion as the second term (which indeed is 0.75) in the series.
5 0
3 years ago
If x = 5 cm, y = 12 cm, and z = 13 cm, what is the surface area of the geometric shape formed by this net?
Lera25 [3.4K]

Answer:

the answer is C.  210 sq. cm

Step-by-step explanation:

Find the area of the triangle

The area of one of the triangular faces can be found by using the formula below.  

a = 1/2 bh

a = 1/2 (5 cm) (12 cm)

a = 30 sq. cm

Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.

Next, find the area of each of the three rectangular faces using the formula, area = lw.

1st rectangle

a = lw

a =  (5 cm) (5 cm)

a = 25 sq. cm

2nd rectangle

a = lw

a = (5 cm) (12 cm)

a = 60 sq. cm

3rd rectangle

a = lw

a = (5 cm) (13 cm)

a - 65 sq. cm

Add the three rectangle areas to find a total of 150 sq. cm.

To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.

60 sq. cm + 150 sq. cm = 210 sq. cm

4 0
3 years ago
Write an equation for a parabola with x-intercepts (-4,0) and (5,0) which passes through the point (3. – 28).
Vanyuwa [196]

Answer:

y=a(x-p)(x-q)

y=a(x+2+√2)(x+2-√2)

passing through point (-1,1)

substitute

1=a(-1+2+√2)(-1+2-√2)

1=a(1+√2)(1-√2)

1=a(1-2)

1=a(-1)

a=1/(-1)

a=-1

y=-(x+[2+√2])(x+[2-√2])

y=-(x2+4x+2)

Thanks rate 5 stars

5 0
3 years ago
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was o
Roman55 [17]

Answer:

Option C.

Step-by-step explanation:

Given information:

Sample size = 150

Number of Opinions = 3 (Yes, No, No Opinion)

Yes = 40

No = 60

No opinion = 50

We need to find the expected frequency for each group.

Expected frequency for each group is the quotient of sample size and number of opinions.

\text{Expected frequency for each group}=\dfrac{\text{Sample size}}{\text{Number of Opinions}}

\text{Expected frequency for each group}=\dfrac{150}{3}

\text{Expected frequency for each group}=50

Therefore, the correct option is C.

6 0
3 years ago
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