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4 years ago

Evaluate pq2, if p = -2 and q = 5.

Mathematics

2 answers:

aev [14]4 years ago

7 0

The correct answer is -20

weqwewe [10]4 years ago

7 0

Here is your answer:

First plug in the numbers into the given equation:

p×q×2----->-2×5×2

2×5=10
10×2=20

Your answer is...
=-20

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Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M

HACTEHA [7]

Answer:

The equation of line M in slope intercept form is $y=\frac{3}{2}x+1$

The equation of line M in standard form is $3x-2y=-2$

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(2,4) and (0,1)

substitute

$m=\frac{1-4}{0-2}$

$m=\frac{-3}{-2}$

$m=\frac{3}{2}$

step 2

Find the equation of the line M in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{3}{2}$

$point\ (0,1)$

substitute

$y-1=\frac{3}{2}(x-0)$

$y-1=\frac{3}{2}x$ ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

$y=mx+b$

Isolate the variable y in the equation of the line in point slope form

$y-1=\frac{3}{2}x$

Adds 1 both sides

$y=\frac{3}{2}x+1$

step 4

Find the equation of the line M in standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

we have

$y=\frac{3}{2}x+1$

Multiply by 2 both sides

$2y=3x+2$

$3x-2y=-2$ ---> equation in standard form

7 0

3 years ago

ASAP HELP NEEDED WITH THIS QUESTION

dalvyx [7]

Answer:

EF is the best vector described to intersect both point s

4 0

3 years ago

The ratio of the longer side of a rectangle to its shorter side is 4 to 3. If the shorter side of the rectangle is 21ft, what is

Eduardwww [97]

Answer:

28 ft

Step-by-step explanation:

Let longer side of rectangle be $L$ and the shorter side be $S$ , thus we can write the ratio:

$\frac{L}{S}=\frac{4}{3}$

Now putting 21 into S, we solve for L:

$\frac{L}{21}=\frac{4}{3}\\3L=4*21\\3L=84\\L=\frac{84}{3}=28$

Hence, length of longer side is 28 ft.

5 0

3 years ago

Read 2 more answers

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (assume that

Lilit [14]

Your sequence
-8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
(16/3)/(-8) = (-32/9)/(16/3) = -2/3

The general term an of a geometric sequence with first term a1 and ratio r is given by
an = a1·r^(n-1)
For your sequence, this is
an = -8·(-2/3)^(n-1)

6 0

4 years ago

7(2x+5) = 11x-9-x Please HELP

mr_godi [17]

Step-by-step explanation:

7(2x+5)=11x-9-x

14x+35=10x-9

4x+35=-9

4x=-44

x=-11

3 0

3 years ago