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Phantasy [73]
3 years ago
7

A car travled 200 miles in 4 hours . What was the car average rate of speed in miles per hour ?

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0
The answer would be 50miles/h
Dahasolnce [82]3 years ago
7 0

rate = 200 miles/ 4 hours = 50 miles/hour

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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
What’s the difference quotient simplified
mihalych1998 [28]

\text{Use}\ (a+b)^3=a^3+3a^2b+3ab^2+b^3\\\\f(x+h)\to\text{exchange x to x + h}\\\\f(x)=x^3+3x\\\\f(x+h)=(x+h)^3+3(x+h)\\\\f(x+h)=x^3+3x^2h+3xh^2+h^3+3x+3h\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{x^3+3x^2h+3xh^2+h^3+3x+3h-(x^3-3x)}{h}\\\\=\dfrac{x^3+3x^2h+3xh^2+h^3+3x+3h-x^3-3x}{h}\\\\=\dfrac{(x^3-x^3)+3x^2h+3xh^2+h^3+(3x-3x)+3h}{h}\\\\=\dfrac{3x^2h+3xh^2+h^3+3h}{h}\\\\=\dfrac{h(3x^2+3xh+h^2+3)}{h}\\\\=\boxed{3x^2+3xh+h^2+3}

7 0
3 years ago
A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is the volume of the room?
KonstantinChe [14]
The formula for volume is width * height * length or w*h*l. to do this problem you have to do 8*6*10 which is 480. so, the volume of the room is 480 ft^3 (cubed).
7 0
3 years ago
Please helpppp<br><br> Extra points and brainleist
vladimir1956 [14]

Answer:

B

Step-by-step explanation:

x² - 4x - 7 = 0

(x - 2)² = 11

5 0
3 years ago
Help solve problem please
Naddika [18.5K]

Answer:

1 / 13

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of aces in a deck = 4

Since selection is drawn with replacement, then probability of drawing a certiaj number of card from the deck will be the same each time a selection is made :

Probability = required outcome / Total possible outcomes

The required outcome = number of aces = 4

Total possible outcomes = total number of cards = 52

P(drawing an ace) = 4 / 52 = 1 /13

7 0
3 years ago
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