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andreyandreev [35.5K]
3 years ago
5

20 POINTS HELP ME PLEASE How many solutions does the system have

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

Two

Step-by-step explanation:

x² + 4 = 4x + 1

x² - 4x + 3 = 0

x² - 3x - x + 3 = 0

x(x - 3) - (x - 3) = 0

(x - 3)(x - 1) = 0

x = 1, 3

y = 4(1) + 1 = 5

y = 4(3) + 1 = 13

Two solutions: (1,5) (3,13)

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Given MTS and SQP, find sq
STALIN [3.7K]

The measure of the side SQ from the given diagram is 19/6

<h3>Similar shapes</h3>

Similar shapes are shapes that has equal length and equal side measures and angles.

From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.

Using the expression below to determine the value of x

MS/ST = SQ/SP

Given the following parameters

MS =30

ST = 10

SQ = 6x-1

SP =  3 - 2x

Substitute the given parameters into the formula to have:

30/10 = 6x-1/3-2x

Cross multiply

10(6x-1) = 30(3-2x)

Expand

60x - 10 = 90 - 60x

60x + 60x = 90 + 10

120x = 100

x = 10/12

x = 5/6

Determine the measure of SQ

SQ = 6x - 1

SQ = 5(5/6) - 1

SQ = 25/6  - 1

SQ = 19/6

Hence the measure of the side SQ from the given diagram is 19/6

Learn more on similar triangles here: brainly.com/question/4163594

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5 0
2 years ago
Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many time
Vitek1552 [10]

Answer:

400

Step-by-step explanation:

first work out the radius of priya's circle with the equation a = \pi r^{2}

25 = \pi r^{2}

\frac{25}{\pi } = r^{2}

r = \sqrt{\frac{25}{\pi } }

we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x\sqrt{\frac{25}{\pi } }

this means that if the diameter of dan's circle is 4 times bigger it must be

8x\sqrt{\frac{25}{\pi } }

to find the radius of dan's circle we divide the diameter by to 2 to give

4x \sqrt{\frac{25}{\pi } }

then use the a=\pi r^{2} equation again

a= (4 \sqrt{\frac{25}{\pi } })^{2} \pi

which equals 400

hope that helped

6 0
3 years ago
The measure of an angle is 140°. What is the measure of its supplementary angle
Darina [25.2K]

Answer:

40 degrees

Step-by-step explanation:

Supplementary angles are angles in which their measures combined add up to 180 degrees. So we can set up an equation:

140+x=180

x=40

So the other supplementary angle is 40 degrees

7 0
3 years ago
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Help the question says "Solve -2b – 12 = 22" and the answers are
zmey [24]

Answer:

b = -17

Plug it in to find maybe correct answer if not sure next time.

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3 years ago
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Linh buys two T-shirts for $12 each, a pair of shoes for $28, and a pair of jeans for $45. She has a coupon for 30 percent off h
sertanlavr [38]
67.9

12 times 2 + 28 + 45 -30%

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3 years ago
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