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3 years ago

5. a : 4, for a = 32

Mathematics

1 answer:

Dmitrij [34]3 years ago

8 0

Answer:

Step-by-step explanation:

put 4 in place for a

4=32

dive both sides by 4 and you will get 8

hope this helps

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

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

3 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST

Maru [420]

Answer:

sry man

Step-by-step explanation:

8 0

3 years ago

WILL ANSWER FIRST RIGHT ANSWER AS BRAINIEST

Ket [755]

Answer:

Step-by-step explanation:

Considering the given value of sum of interior angles with exclusion of one to be 1070 then we can write it as

1070=180(n-2) where n is the number of sides required here.

Making n the subject of the formula then following step by step

$n-2=\frac {1070}{180}$

$n=\frac {1070}{180}+2\\n=7.9444444444444\approx 8$

Therefore, the shape is octagon and it has 8 sides.

8 0

3 years ago

What is the approximate diagonal distance from one corner of a 3 inch by 5 inch index card to the opposite corner

77julia77 [94]

Answer:

5.83 inches

Step-by-step explanation:

The card is a rectangular shaped object, drawing a diagonal from one corner to the other, divides the rectangle into two right angled triangles with the diagonals as the hypothenuse.

Using Pythagoras theorem.

c^2 = a^2 + b^2

Given;

Side a = 3

Side b = 5

Substituting the given values;

c^2 = 3^2 + 5^2

c = √(9+25)

c = √34

c = 5.83 inches

7 0

4 years ago

Please help me need ASAP

solniwko [45]

Answer:

3)Quadratic

Step-by-step explanation:

Brainliest?

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3 years ago