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3 years ago

Find the equation of a line whose gradient is -¾ and y intercept is 2

Mathematics

1 answer:

Stels [109]3 years ago

3 0

Answer:<u>y =-3x/4+2 </u>

Step-by-step explanation:

Slope= -3/4

The line is passing through (0,2).

y-2=(x-0)*-3/4

<u>y =-3x/4+2</u>

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Which of the following equations models the relationship of angle A to the length of the line segment BC in the figure below.

Anastasy [175]

Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also $y^{2} = x^{2} + (25)^{2} \\ = (15sinA)^{2} + 625 \\ =225 sin^{2} A+625 \\ y= \sqrt{225 sin^{2} A+625} 
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The last option

3 0

2 years ago

S - 1/3 equals 4/9 so S equals what?

bekas [8.4K]

$s - \frac{1}{3} = \frac{4}{9} \\ \\ s = \frac{4}{9} + \frac{1}{3} \\ \\ s = \frac{7}{9} \\ \\ Answer: \fbox {s = 7/9} \ or \ \fbox {s = 0.7778}$

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2 years ago

Please Help!<br><br> Car X travels 174 miles in 3 hours.

DiKsa [7]

Answer:

The graph =

Step-by-step explanation:

(a)

distance covered (y) = 174 miles

time taken (x) = 3 hours

Therefore the points = (3, 174) and (0, 0) = stationary position

Find the gradient (m)

m = 174-0 / 3-0

m = 58

Therefore the equation =

(distance = 58 × time)

For the distance = 174 and time = 3 hours, the equation to find either distance or time = y = 58x

(b) the graph is constant, because the time and distance are also contant when the speed used is the same.

____________________

#IndonesianPride - kexcvi

5 0

2 years ago

What are the zeros of the function f(x) = x2 + 8x +4, expressed in simplest radical form?

Elanso [62]

Answer:

x = - 4 ± 2 $\sqrt{3}$

Step-by-step explanation:

Given

f(x) = x² + 8x + 4

To find the zeros let f(x) = 0, that is

x² + 8x + 4 = 0 ( subtract 4 from both sides )

x² + 8x = - 4

To solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = - 4 + 16

(x + 4)² = 12 ( take the square root of both sides )

x + 4 = ± $\sqrt{12}$ = ± 2 $\sqrt{3}$ ( subtract 4 from both sides )

x = - 4 ± 2 $\sqrt{3}$

Thus the zeros are

x = - 4 - 2 $\sqrt{3}$ and x = - 4 + 2 $\sqrt{3}$

5 0

3 years ago

Calculate the mean, median, mode, range, and 5 Number Summary of the following data set: 5,6,8,4,7,5,4,2,5,6,5,2,1,4

Artist 52 [7]

Answer:

mean = 4.57, median = 5 , mode = 5, range =7 ,

five number summary: Minimum value= 1 , First Quartile = 4, Median = 5

Third Quartile = 6, Maximum value = 8

Step-by-step explanation:

First arrange the data in ascending order.

1,2,2,4,4,4,5,5,5,5,6,6,7,8

Mean = sum of all numbers / total numbers

= 1+2+2+4+4+4+5+5+5+5+6+6+7+8 / 14

= 64 / 14

= 4.57

Median:

Since the given data is even number so, we can find median by taking mean of 2 middle numbers.

so the middle numbers are 7th and 8th data i.e, 5 and 5

Median =(5+5)/2

= 5

Mode:

The most repetitive number in the data set is mode

So Mode = 5

Range:

Range can be found by subtracting smallest number from largest number in the data set.

Smallest number = 1, Largest number = 8

Range= Largest number - Smallest number

= 8-1 = 7

Five no Summary

Minimum value= 1

First Quartile ( 25 % mark )= 4

Median = 5

Third Quartile (75 % mark) = 6

Maximum value = 8

First quartile can be found by : consider the data on left of the median and find median among them

Third quartile can be found by: consider the data on right of the median and find median among them

7 0

3 years ago

Find the equation of a line whose gradient is -¾ and y intercept is 2​

Find the equation of a line whose gradient is -¾ and y intercept is 2