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4 years ago

12

A taxi cab charges a flat rate of $3 in addition to $1.80 per mile, m, traveled. Jennifer has no more than $25 to spend on a rid

e. Which inequality represents Jennifer's situation?

1 answer:

prohojiy [21]4 years ago

7 0

Answer:

m is less than or equal to 12.2

Step-by-step explanation:

$3+$1.80(m) is less than or equal to $25.00

$1.80*12.2 miles= $21.96

$21.96+$3=$24.96

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A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point

denis-greek [22]

Answer:

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(-7, -1) and (8, 7)

substitute

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{289}$

$r=17\ units$

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

substitute the values

$(x+7)^2+(y+1)^2=17^2$

$(x+7)^2+(y+1)^2=289$

Substitute the value of x=-15 in the equation

$(-15+7)^2+(y+1)^2=289$

$64+(y+1)^2=289$

$(y+1)^2=289-64$

$(y+1)^2=225$

square root both sides

$(y+1)=(+/-)15$

$y=-1(+/-)15$

$y=-1(+)15=14$

$y=-1(-)15=-16$

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

8 0

3 years ago

What is bigger 100 fl oz or 16 pt

Romashka [77]

16 pints = 256 fluid ounces. So 16 pints is greater than 100 fl oz.

3 0

3 years ago

Read 2 more answers

Please help me out i need it right now !!

umka21 [38]

x = 12

Step-by-step explanation:

From Pythagorean theorem,

x^2 + 9^2 = 15^2

or

x^2 = 225 - 81 = 144

x = 12

8 0

3 years ago

Bridges in mathematics second edition home connection

guajiro [1.7K]

What be more specificx or take a picture

3 0

4 years ago

What is the value of x?<br><br> Enter your answer in the box.<br> units<br><br> ___Units

kotykmax [81]

The value of x is 28 .

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three angles and three vertices.

According to the Proportionality Theorem

When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.

As in the given figure DC is parallel to AP ,

then RD : DP = RC:CA

42:15 = x: 10

42/15 = x / 10

x = 42 * 10 /15

x = 28

Therefore the value of x is 28 .

To know more about Triangle

brainly.com/question/2773823

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7 0

2 years ago