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iogann1982 [59]
3 years ago
9

If a linear function y = 2x + 3 moves down 4 units, and then moves right 4 units to changes into a new function y = ax + b, find

a and b

Mathematics
1 answer:
11111nata11111 [884]3 years ago
6 0

Answer:

a= 2 b=-9

Step-by-step explanation:

Please refer to the picture attached.

You can clarify the answer by substituting random points like (0,0) and transformed point

E. G. (0, - 4) in step 1 and (4,0) in step 2 into the original equation and transformed equation for checking.

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If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG
kvasek [131]

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG  ( substitute values )

\frac{1}{3} x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = \frac{1}{3} x = \frac{1}{3} × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

8 0
2 years ago
Read 2 more answers
ZA and B are supplementary angles. If mA (x - 9)° and
Verizon [17]

The measurement of  ∠B  is 168°

Given,

In the question:

Angle A and Angle B are supplementary angles.

If mA (x - 9)° and m/B= (7x + 21)°

To find the measure of ∠B

Now, According to the question;

What are supplementary angles?

Two angles are Supplementary when they add up to 180 degrees.

Now, ∠A+∠B = 180°

So,

⇒(x - 9)˚+(7x + 21)°=180°

=> 8x +12 = 180°

=> 8x = 180° - 12

=> 8x = 168

=> x = 168/8

=> x = 21

For the measure of ∠B :

∠B  = (7x + 21)

∠B = 7 x 21 + 21

∠B  = 168°

Hence, The measurement of  ∠B  is 168°

Learn more about Supplementary angles at:

brainly.com/question/13045673

#SPJ1

5 0
1 year ago
the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer
Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = vi t + \frac{1}{2} at^{2}

d = distance      vi = initial velocity (m/s)    

t = time (s)     a = acceleration (m/s^{2})

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/s^{2} since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + \frac{1}{2} (9.81m/s^{2})(t)

220.98m = (4.905m/s^{2})(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0
2 years ago
$32,520 divided by 30 people
Ronch [10]

Answer: $1,084 per person

Step-by-step explanation:

divide 32520 by 30

8 0
3 years ago
I need help with mathcan someone plzz help me
xz_007 [3.2K]

Answer:

what is the question

Step-by-step explanation:

3 0
2 years ago
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