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2 years ago

Zoe rides for 2 hours and is 12 miles from her house. After riding for 4 hours, she is 22 miles away. What is Zoe’s rate?

Mathematics

1 answer:

Sindrei [870]2 years ago

7 0

Answer:

Step-by-step explanation:

plus the number it's easier

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What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

2 years ago

PLZZ! HELP WITH THIS! WILL GIVE BRAINLLEIST! PROMISE! AND 11 POINTS! FOR A SIMPLE ANSWER! THANKS TO ANYONE WHO ANSWERS THIS! HUR

Alenkinab [10]

Answer:

65.52 square feet

Step-by-step explanation:

to find area of a rhombus with the diagonals multiply them together and divide by two.

10.4 x 12.6 = 131.04

131.04/2 = 65.52 square ft

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2 years ago

Mike, Luke, and Alex each own a white hat marked with the first letter of their name. Winter owns a plain red hat, which is not

Karo-lina-s [1.5K]

Answer:switch mikes Luke’s and Alex in between each other and let winter keep her own

Step-by-step explanation:

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1 year ago

Why is How many continentS are there ?" not a statistical queston Othere is only one answer the answer is unknown1 Othe answer i

kotegsom [21]

Answer:

Step-by-step explanation:

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2 years ago

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How many solutions exist for the given equation?

sladkih [1.3K]

Answer:

Infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

12x + 1 = 12x + 3 - 2

12x + 1 = 12x + 1

Both sides are equal for all x, so infinite solutions

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2 years ago

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