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2 years ago

Choose all of the ordered pairs that are solutions to the equation y = x2 + 1.

Mathematics

1 answer:

AysviL [449]2 years ago

6 0

Answer:

A, C, E

Step-by-step explanation:

Substitute the x- coordinate of the points into the equation and if the result is equal to the y- coordinate of the point then it is a solution.

A (- 2, 5 )

y = 2² + 1 = 4 + 1 = 5 → (- 2, 5 ) is a solution

B (- 1, 0 )

y = (- 1)² + 1 = 1 + 1 = 2 ≠ 0 ← not a solution

C (1, 2 )

y = 1² + 1 = 1 + 1 = 2 → (1, 2 ) is a solution

D (2, 4 )

y = 2² + 1 = 4 + 1 = 5 ≠ 4 ← not a solution

E (3, 10 )

y = 3² + 1 = 9 + 1 = 10 → (3, 10 ) is a solution

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The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st

aleksklad [387]

Answer:

Speed of Chris Huber = 30.726 m/s

Time taken by Sam = 5.55 s

Step-by-step explanation:

Given:

Distance = 200 m

Time taken by Chris Huber = 6.509 s

Now,

Speed of Chris Huber = $\frac{\textup{Distance}}{\textup{Time}}$

Speed of Chris Huber = $\frac{\textup{200 m}}{\textup{6.509 s}}$

Speed of Chris Huber = 30.726 m/s

Speed of Sam = Speed of Chris Huber + 19.0 km/h

Now,

1 km/hr = 0.277778 m/s

thus,

19.0 km/h = 19.0 × 0.27 = 5.278 m/s

thus,

Speed of Sam = 30.726 + 5.278 = 36.004 m/s

therefore,

Time taken by Sam = $\frac{\textup{Distance}}{\textup{Speed}}$

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6 0

2 years ago

At a store, toothbrushes cost x dollars and

maksim [4K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Select all of the ratios that are equivalent to 4 to 7

NARA [144]

Answer:

4/7= 12/21- mutiply the fraction by 3

(4)(3)/(7/(3)= 12/21

4/7= 16/28 - mutiply by 4

4/7= 20/35- mutiply by 5

6 0

2 years ago

Can someone pls explain to me how to do this (^｡^)

34kurt

Answer:

Area: $\frac{8}{15}$ feet²

Perimeter: $\frac{44}{15} =2 \frac{14}{15}$ feet

Step-by-step explanation:

The formula of finding the area of a rectangle or square is width multiplied by length.

The formula of find the perimeter of a rectangle or square is width+width+length+length

Area: $\frac{4}{5} *\frac{2}{3} = \frac{8}{15}$ feet²

Perimeter:

$\frac{4}{5} +\frac{4}{5} +\frac{2}{3} +\frac{2}{3} =$

$\\\\\frac{12}{15} +\frac{12}{15} +\frac{10}{15} +\frac{10}{15} =\\\\\frac{24}{15} +\frac{20}{15} =\\$

$\frac{44}{15} =2 \frac{14}{15}$

4 0

3 years ago

Find the slope of the line 7x+4y=10

Fittoniya [83]

Answer:

The slope is -7/4

Step-by-step explanation:

∵ 7x + 4y = 10

∵ y = mx + c ⇒ where m is the slope of the line

∴ Re-arrange the equation

∴ 4y = 10 - 7x ⇒ ÷4

∴ y = 10/4 - (7/4) x

∴ y = 5/2 - (7/4) x

∴ The slope is -7/4

3 0

3 years ago