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BigorU [14]
3 years ago
13

- 364 miles in 7 hours

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Answer:

52 mph

Step-by-step explanation:

364 miles in 7 hours

364/7

52

52 mph

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Two angles are supplementary. Which of the following equations can be used to find the value of the missing angle, x, if the oth
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Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is

x + y = 180

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What would a box and whisker plot look like for this?
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58, 62, 71, 73, 84, 89, 91, 91, 93, 97, 98, 101,104

Five number summary:
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2) 1st quartile = 72
3) median = 91
4) 3rd quartile = 98
5) maximum = 104
              __________
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  58      72     91      98           104                                                                                      






3 0
3 years ago
(x + 4)(2x - 1)(x-3)=0
ale4655 [162]

Answer:

2x^{3} + x^{2} - 25x + 12

Step-by-step explanation:

There are three different enclosed brackets.

First multiply two of the brackets, then multiply the third by the answer

6 0
3 years ago
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
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