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alekssr [168]
3 years ago
8

Please this is due in 52 minutes...

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

Answer:

Angle S has a measure of 50°

Step-by-step explanation:

When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)

You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. <u>As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50°</u> (but only angle S is an option)

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If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function? A.g(x) = (x + 12
timama [110]

Answer:  The correct option is (A). g(x)=(x+12)^2.

Step-by-step explanation:  Given that the equation of the quadratic parent function is

f(x)=x^2~~~~~~~~~~~~~~~~~~~~~~~~``(i)

We are to find the equation of the new function after shifting the parent function (i) 12 units left.

Since we are shifting 12 units left, so there is a horizontal translation in the X-axis.

And the x co-ordinate becomes (x+12).

Therefore, the equation of the new function will be

g(x)=(x+12)^2.

Thus, the required equation of the new function is g(x)=(x+12)^2.

Option (A) is correct.

7 0
3 years ago
2. A certain drug is eliminated from the human body according to an exponential model. After 2 hours, there are 32 mg left. Five
Anastasy [175]

The exponential function is given by y = 69.5(0.6786)^x \\

<h3>Exponential function</h3>

An exponential function is in the form:

y=ab^x

Where a is the initial value of y and b is the multiplier factor

Let y represent the amount of drug after x hours.

After 2 hours, there are 32 mg left. Hence:

  • 32 = ab²    (1)

After 5 hours, there are 10 mg left. Hence:

  • 10 = ab⁵      (2)

From equation 1 and 2, b = 0.6786, a = 69.5

The exponential function is given by y = 69.5(0.6786)^x \\

At 1 hour:

y = 69.5(0.6786) = 47 mg

Find out more on exponential function at: brainly.com/question/12940982

5 0
2 years ago
A carpinter installing shelves in two offices. Each office will have 4 shelves. The wood the carpinter wants to use comes in 6fo
adoni [48]

Answer:

The carpenter will need 3 6-foot long boards in order to make the 8 shelves.

Step-by-step explanation:

Given that a carpinter is installing shelves in two offices, each office will have 4 shelves, and the wood the carpinter wants to use comes in 6foot long boards, the measure of each shelf being 2 1/4 feet long, to determine how many boards he does need, the following calculation must be performed:

1/4 = 0.25

(2 x 4 x 2.25) / 6 = X

(8 x 2.25) / 6 = X

18/6 = X

3 = X

Thus, the carpenter will need 3 6-foot long boards in order to make the 8 shelves.

4 0
3 years ago
Help please overdue already
defon

Answer:

   (x, y) = (2, -5)

Step-by-step explanation:

The equation is of a line. There are an infinite number of points that will satisfy the equation.

Perhaps you are referring to the fact that the equation appears to be in point-slope form. That form is ...

  y -k = m(x -h)

for a line with slope m through point (h, k).

In your equation, k = -5 and h = 2, so the line is known to go through point (2, -5) with slope 3.

7 0
3 years ago
A baseball team played 16 games. They won 4 games more than they lost. How many games did they win?
Ratling [72]
I BELIVE the awnser would be 12
6 0
3 years ago
Read 2 more answers
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