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Sophie [7]
3 years ago
11

. Lisa takes a 3,014 mile long trip. She has already traveled 95 miles. She has 7 days left in her trip. How many miles does she

need to travel each day to complete the trip?
Mathematics
1 answer:
stich3 [128]3 years ago
8 0

Answer:

Lisa would travel 417 miles a day.

Step-by-step explanation:

subtract 3,014 - 95 = 2, 919

Then divide 2, 919 / 7 = 417

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What is the slope of the line perpendicular to the given line?<br> 5x - 2y = 14
motikmotik

Answer:

-\frac{2}{5}.

Step-by-step explanation:

1) if to re-write the given equation into slope-interception form, then:

y=\frac{5}{2}x-7;

the slope of the given line is 5/2;

2) according to the rule of perpendicular, the required slope should be:

s*(5/2)=-1;

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3 0
3 years ago
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin
Elanso [62]

Answer:

The equation of circle is x^2+y^2=65.

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula the radius of circle is

r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2         .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and r=\sqrt{65} in equation (1).

(x-0)^2+(y-0)^2=(\sqrt{65})^2

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Therefore the equation of circle is x^2+y^2=65.

5 0
4 years ago
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miv72 [106K]

Answer:

4

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = (\frac{\sqrt{6} }{2}, \frac{\sqrt{58} }{2} )

AB = \sqrt{((\frac{\sqrt{6} }{2})^2 } + \{(\frac{\sqrt{58} }{2})^2 }

= \sqrt{\frac{6}{4} } + \frac{58}{4}

= \sqrt{\frac{64}{4} }

= \sqrt{16}

= 4

7 0
4 years ago
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Answer:

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