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3 years ago

Slope = 5, through (3,13)

Mathematics

2 answers:

Flura [38]3 years ago

7 0

Answer:

y = 5x - 2

Step-by-step explanation:

You can write the equation of the line in slope-intercept form (y = mx + b).

"x" and "y", when substituted, represent points on the line.

"m" represents the slope of the line (how steep the line is).

"b" represents the y-intercept (when the graph hits the y-axis).

Since we know a point (3, 13) which is written (x, y) and the slope, we can substitute the following in the equation y=mx+b:

x = 3

y = 13

m = 5

Since we only have one missing piece of information, we can find "b" by isolating it.

y = mx + b Substitute the values

13 = (5)(3) + b Simplify by multiplying

13 = 15 + b Start isolating "b"

13 - 15 = 15 + b - 15 Subtract 15 from both sides

13 - 15 = b Right side: 15 cancelled out because of opposite operations

-2 = b Solved for "b"

b = -2 Standard formatting puts variable on left

When isolating, we use opposite operations to cancel out numbers where we don't want them. Since we want "b" to be alone, we do the opposite of positive 15, which is negative 15 (the same as subtracting 15).

Rewrite the slope-intercept form equation using "m" and "b" variables.

y = mx + b

y = 5x - 2

rusak2 [61]3 years ago

6 0

Answer:

y=5x-2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

he original median was 35 and the new median is 36. The median will increase.

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3 years ago

Need help on math question thanks A) 0.303 B) 0.435 C) 0.406 D) 0.154

Airida [17]

Answer:

A) 0.303

The probability that a randomly selected student from the class has brown eyes , given they are male

$P(\frac{B}{M} ) = 0.3030$

Step-by-step explanation:

Explanation:-

Given data

Brown Blue Hazel Green

Females 13 4 6 9

Males 10 2 9 12

Let 'B' be the event of brown eyes

Total number of males n(M) = 33

Let B/M be the event of randomly selected student from the class has brown eyes given they are male

The probability that a randomly selected student from the class has brown eyes , given they are male

$P(\frac{B}{M} ) = \frac{n(B)}{n(M)}$

From table the brown eyes from males = 10

$P(\frac{B}{M} ) = \frac{10}{33}$

$P(\frac{B}{M} ) = 0.3030$

Final answer:-

The probability that a randomly selected student from the class has brown eyes , given they are male

$P(\frac{B}{M} ) = 0.3030$

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3 years ago

Triangle MRN is created when an equilateral triangle is folded in half.

Rus_ich [418]

The value of y based on the values given ib the equilateral triangle will be 4.

<h3>How to illustrate the triangle?</h3>

From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:

= 1/2 × 8 = 4

In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.

Here, value of y based on the values given ib the equilateral triangle will be 4.

Learn more about triangles on:

brainly.com/question/17335144

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2 years ago

Ben made a model (shown below) of the square pyramid he plans to build when he grows up.

elena-s [515]

Answer:

$336 m^2$

Step-by-step explanation:

The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

$A=A_b + 4A_t$

where:

$A_b=L^2$ is the area of the base, where

L is the length of the base

$A_t=\frac{1}{2}Lh$ is the area of each triangular face, where

h is the height of the face

Substituting,

$A=L^2+2Lh$

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

$A=12^2 +2(12)(8)=336$

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3 years ago

Read 2 more answers

What is the factored form of 6x^2 + 13x + 6?

LekaFEV [45]

Answer:

(3x+2)(2x+3)

Step-by-step explanation:

6x2+13x+6

=(3x+2)(2x+3)

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3 years ago