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Tasya [4]
3 years ago
12

What are the ordered pairs of the solutions for this system of equations?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

Answer:

<em>( 4, 11 ) , ( - 4, 27 ) </em>

Step-by-step explanation:

f(x) = x² - 2x + 3

f(x) = - 2x + 19

x² - 2x + 3 = - 2x + 19

x² - 16 = 0

( x + 4 )( x - 4 ) = 0

x_{1} = - 4

x_{2} = 4

f(x) = y_{1} = - 2( - 4 ) + 19 = 27

y_{1} = 27

f(x) = y_{2} = - 2( 4 ) + 19 = 11

y_{2} = 11

<em>( 4, 11 ) , ( - 4, 27 )</em>

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Step-by-step explanation:

4 0
2 years ago
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in
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The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces  of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

(50)^{2} = (14)^{2} + (48)^{2}

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm  lateral height = 35cm

(37)^{2} = (35)^{2}+ (6)^{2}

1369 = 1225 +36

1369 \neq 1261

Model 3

Diagonal = 60cm, radius = 20cm  lateral height = 40cm

(60)^{2} = (20)^{2} + (40)^{2}

3600 = 400 + 1600

3600 \neq 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

(30)^{2} = (24)^{2} + (9)^{2}

900 = 576 + 81

900 \neq 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion,  the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

#SPJ1

5 0
2 years ago
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In 12 years, Janice will be 8 times as old as she was 2 years ago. How old is Janice<br> now?
Setler [38]

Janice is currently 4.

In 12 years, Janice will be 16, and 2 years ago she was 2. That being said, 16 is eight times more than 2, thus meaning she is currently 4 years old.

I hope this helps!

6 0
3 years ago
What is the area, in square units, of the parallelogram shown below?
Nana76 [90]
It would be B. 48 Square units
8 0
3 years ago
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I need the answer please for a and b
zzz [600]

Step-by-step explanation:

2x + x+4+x = 180

4x = 176

x = 44

A 88

B 48

C 44

7 0
3 years ago
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