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Travka [436]
3 years ago
7

Triangle XYZ, with vertices X(-1, -3), Y(-1, -1), and Z(-3, -1), is translated 2 units right and one unit down to form triangle

X′Y′Z′. What are the coordinates of the vertices of triangle X′Y′Z′?
Mathematics
1 answer:
Wewaii [24]3 years ago
4 0
X: (1,-4) Y: (1,-2) Z: (-1,-2) I think.
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How many real solutions exist for this system of equations?
Rom4ik [11]

Answer:

One

Step-by-step explanation:

Set each equations equal to each other

{x}^{2}  + 4 = 4x

{x}^{2}  - 4x + 4

Find the discrimant.

{ - 4 {}^{2} - 4(1)(4) } = 0

This means there is one real solution. Since the discramnt equal 0.

7 0
2 years ago
What is the value of (16^3/2)^1/2
Alika [10]

<u><em>Answer: =1024. *The answer must be have positive sign.*</em></u>

Step-by-step explanation:

This question's it's about the order of operations. p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right.

do exponents first.

16³/2=4098=2048¹/2

2048¹=2048

2048/2

divide left to right.

2048/2=1024

Hope this helps!

Thanks!

Have a great day!

4 0
3 years ago
How is the graph of y=9(3)^x-2 -6 translated from the graph of y=9(3)^x ?
USPshnik [31]
For this case we have the following function:
 y = 9 (3) ^ x
 Applying the following transformations we have:
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right.
 y = 9 (3) ^ (x-2)
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) -k, move the graph of k units down.
 y = 9 (3) ^ (x-2) - 6
 Answer:
 
2 units to the right
 
6 units down
5 0
3 years ago
Math help questions <br>​
Evgen [1.6K]

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of \$800 \times 1.07^t.

We want the find the number of years n such that

\$856 \times 1.07^n = \$1400

Solve for n :

856 \times 1.07 ^n = 1400

1.07^n = \dfrac74

\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)

n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)

n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}

4 0
1 year ago
Read 2 more answers
Is the following shape a right triangle? How do you know?
Gwar [14]

Answer:

D. Yes, two sides are perpendicular, and the side lengths fit the

Pythagorean theorem.

4 0
3 years ago
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