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3 years ago

manny is on a bus that is traveling at a constant speed of 60 miles per hour. how far will he travel in 3 1/2 hours

1 answer:

4 0

he would have traveled 210 miles because in half an hour he would have traveled 30 miles and in 3 hours he would have traveled 180 miles. so we have to add those up and we get our answer: 210 miles

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Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

8 0

3 years ago

Find the height of a cone with the volume of 21 ft.³ and a radius of 4 feet

Rama09 [41]

I think its 1.25ft but i could be wrong... sorry if im wrong

3 0

3 years ago

What is the difference of the fractions? Use the number line to help find the answer. 1 3 5 4 -1 ok -12 -10 8 20 20 000 0 10 12

Nookie1986 [14]

Answer: -11/20

Step-by-step explanation:

1/5-3/4= 4/20-15/20= -11/20

3 0

3 years ago

3 dollar 8 dimes +1 dollar 2 quarters 5 pennies

zepelin [54]

Answer:

5.35

Step-by-step explanation:

1.55 +3.80 = 5.35

7 0

3 years ago

I need help with these

Marizza181 [45]

Answer:

Step-by-step explanation:

You could factor the trinomial and solve it that way, but that is the long way. Just put a - 4 wherever you see an x.

x^2 + 3x + 2 =

(-4)^2 + 3(-4) + 2

16 - 12 + 2

The answer is 6.

6 0

3 years ago