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Luden [163]
2 years ago
9

Anyone? please i need help

Mathematics
2 answers:
arsen [322]2 years ago
6 0
<span><u><em>Answer:</em></u>
y = 5x - 7

<u><em>Explanation:</em></u>
<u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept

<u>1- getting the slope:</u>
The slope of the line can be calculated using the following formula:
m = </span>\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>\frac{3-8}{2-3}<span> = 5

<u>Therefore, the equation now became:</u>
y = 5x + c

<u>2- getting the y-intercept:</u>
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7

<u>Based on the above, the equation of the line is:</u>
y = 5x - 7

Hope this helps :)</span>
xenn [34]2 years ago
5 0

Answer:

y= 5x-7

Step-by-step explanation:

Using slope-intercept form:

The equation of line is given by:

y=mx+b                    .....[1]

where,

m is the slope of the line

b is the y-intercept.

As per the statement:

The points (3, 8) and (2, 3) fall on a particular line.

Using slope(m) formula:

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given points we have;

m = \frac{3-8}{2-3}=\frac{-5}{-1}=5

⇒m = 5

Put m = 5 in [1] we have;

y=5x+b

Substitute the point (3, 8) we have;

8 = 5(3)+b

8 = 15+b

Subtract 15 from both sides we have;

-7 = b

or

b = -7

Then we have;

y= 5x-7

Therefore, the equation of line in slope intercept form is, y= 5x-7

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3 years ago
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IRISSAK [1]

Answer:

y = 2 ( x − 1 ) ^ 2 + 2

Step-by-step explanation:

y = a ( x − h ) ^ 2 + k

where vertex is (h,k) = (1,2)

h=1, k=2

y = a ( x − 1 ) ^ 2 + 2

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7 0
3 years ago
PLEASE HELP ASAP
Lesechka [4]

Answer:

A. f and h

Step-by-step explanation:

For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.

For function f:

The values of f(x) are: 5,8,11,14

We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.

For function g:

The values of g(x) are: 8,4,16,32

We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.

For function h:

The values of h(x) are: 28, 64, 100, 136

We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.

5 0
3 years ago
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Sidana [21]

Answer:

she turned 82 degrees.

Step-by-step explanation:

Suppose, the unknown angle is A

Now, we know that according to the sine law ,

the ratio of side of a triangle and the sine value of the angle opposite to that side is same . It says that,

if a triangle has 3 sides a,b and c and 3 angles A,B,and C and they are opposite to the sides respectively then,

a/SinA=b/sinB=c/SinC

check the image below in attachment.

From the diagram at attachment.

here , angle A is required.

given, angle C= 30

side b=89 m and c= 48 m

sin law says a/sinA=b/sinB=c/sinC

first we take , b/sinB=c/sinC

or, 89/sinB= 48/sin30

or, sinB=( 89×0.5)/48 =0.92

or, B=68

we know, in every triangle , the sum of 3 angles of a triangle is 180

then, A+B+C=180

or, A=180-B-C= 180 - ( B+C)

=180-(68+30)

or, A = 82

therefore , the required angle is 82 degree.

she turned 82 degrees.

8 0
3 years ago
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Alekssandra [29.7K]

Answer:

x+13=40 and the answer to that is 27

6 0
3 years ago
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