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stich3 [128]
3 years ago
6

I need help with number 5

Mathematics
1 answer:
dlinn [17]3 years ago
8 0
The digital time for quarter past three is 3:15, it is 15 minutes past 3 o'clock.
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Write an equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the l
mamaluj [8]

The equation in slope-intercept form for the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5 is y = \frac{3}{4}x - \frac{5}{4}

<em><u>Solution:</u></em>

<em><u>The slope intercept form is given as:</u></em>

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given that the line that passes through the point  ( -1 , -2 )  and is perpendicular to the line − 4 x − 3 y  =  − 5

Given line is perpendicular to  − 4 x − 3 y  =  − 5

− 4 x − 3 y  =  − 5

-3y = 4x - 5

3y = -4x + 5

y = \frac{-4x}{3} + \frac{5}{3}

On comparing the above equation with eqn 1, we get,

m = \frac{-4}{3}

We know that product of slope of a line and slope of line perpendicular to it is -1

\frac{-4}{3} \times \text{ slope of line perpendicular to it}= -1\\\\\text{ slope of line perpendicular to it} = \frac{3}{4}

Given point is (-1, -2)

Now we have to find the equation of line passing through (-1, -2) with slope m = \frac{3}{4}

Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1

-2 = \frac{3}{4}(-1) + c\\\\-2 = \frac{-3}{4} + c\\\\c = - 2 + \frac{3}{4}\\\\c = \frac{-5}{4}

\text{ substitute } c = \frac{-5}{4} \text{ and } m = \frac{3}{4} \text{ in eqn 1}

y = \frac{3}{4} \times x + \frac{-5}{4}\\\\y = \frac{3}{4}x - \frac{5}{4}

Thus the required equation of line is found

8 0
3 years ago
SEE IMAGE PLEASE !!!
inysia [295]
Center of rhombus bisects 90°.

Sum of angles in triangle = 180°
x + x + 14 + 90 = 180
2x + 104 = 180
2 (x + 52) = 180
x = (180 ÷ 2) - 52
x = 90 - 52
x = 38°


4 0
2 years ago
Read 2 more answers
How do i find the volume of a cone
enyata [817]
V=PiR^2H/3

Pi = 3.14 (use pi symbol on calculator)
R is the radius if the cones bottom
H is the height of the cone
3 0
3 years ago
Read 2 more answers
An umbrella is made by stitching 10 triangular pieces of clothes of 2 different colors, each piece measuring 9 cm, 40 cm and 41
malfutka [58]

Answer:

See below in bold.

Step-by-step explanation:

The triangular piece of cloth is a right triangle because 41^2 = 40^2 + 9^2 (By the Pythagoras theorem).

So the area of one piece = 1/2 * 9 * 40  cm^2.

The total amount of cloth  required for one umbrella = 10 * 1/2 * 9 * 40

= 1800 cm^2.

The total cost =  1800 * 0.25 = Rs 450.

3 0
3 years ago
What’s the answer to this important problem it is very idk
White raven [17]
1) 4/(1/5)

=4 ÷ 1/5
to divide fractions, multiply by the reciprocal/inverse of 1/5

=4 * 5/1
=20


4) (7/9)/7

=7/9 ÷ 7
to divide fractions, multiply by the reciprocal/inverse of 7

=7/9 * 1/7
multiply numerators; multiply denominators

=(7*1)/(9*7)
=7/63
simplify by 7
=1/9


7) (9/10)/6

= 9/10 ÷ 6
to divide fractions, multiply by the reciprocal/inverse of 6

= 9/10 * 1/6
multiply numerators; multiply denominators

= (9*1)/(10*6)
= 9/60
simplify by 3
= 3/20


ANSWER: 1) 20; 4) 1/9; 7) 3/20

Hope this helps! :)
3 0
3 years ago
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