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Mamont248 [21]
3 years ago
15

Evaluate the following expression: (3 - 2)(1.5 -0.5)

Mathematics
2 answers:
marishachu [46]3 years ago
5 0

Answer:

1

Step-by-step explanation:

( 1 )( 1 ) = 1

9966 [12]3 years ago
4 0

3-2=1

1.5-0.5= 1

1x1=1

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Find the distance between 2-4i and d 6+i
liq [111]

Answer:

7.211

Step-by-step explanation:

-For two points in the complex plane, the distance between the points is the modulus of the of the difference of the two complex numbers.

-Point 2-4i has the coordinates (2,-4)

-Point 6+i has the coordinates (6,1)

#We must find the distance between the two coordinates (2,-4) and (6,1):

=\sqrt{(6-2)^2+(1--4)^2}\\\\=\sqrt{4^2+6^2}\\\\=\sqrt{52}\\\\=7.211

Hence, the distance between the two points is 7.211

8 0
3 years ago
What is the common factor of each term in the expression 2b+5b?
S_A_V [24]
The common factor is b since it is divisible by both 2b and 5b
5 0
3 years ago
Simplifying rational expressions
Sonbull [250]
1. \frac{(c + 8)(c - 8)}{(c - 8)(c + 3)}_,_
    \frac{c + 8}{c + 3}_,_

2. \frac{n^{2} + 4n - 12}{n^{2} + 2n - 8}_,_
    \frac{n^{2} + 6n - 2n - 12}{n^{2} + 4n - 2n - 8}_,_
    \frac{n(n) + n(6) - 2(n) - 2(6)}{n(n) + n(4) - 2(n) - 2(4)}_,_
    \frac{n(n + 6) - 2(n + 6)}{n(n + 4) - 2(n + 4)}_,_
    \frac{(n - 2)(n + 6)}{(n - 2)(n + 4)}_,_
    \frac{n + 6}{n + 4}_,_

3. \frac{42x^{2}y^{3}}{28x^{3}y}_,_
    \frac{3y^{2}}{2x}_,_

4. \frac{m^{2} - 3m - 10}{m - 5}_,_
    \frac{m^{2} - 5m + 2m - 10}{m - 5}_,_
    \frac{m(m) - m(5) + 2(m) - 2(5)}{m - 5}_,_
    \frac{m(m - 5) + 2(m - 5)}{m - 5}_,_
    \frac{(m + 2)(m - 5)}{m - 5}_,_
    m + 2_,_
3 0
3 years ago
Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of
drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0
2 years ago
When a number is decreased by 18, the result is 14. what is the number
Serggg [28]
X is the number

when x is decreased by 18, we say 18-x

the result is 14

18-x=14
minus 18 both sides
-x=-32
times both sides by -1
x=32
6 0
3 years ago
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