All categories

3 years ago

What is the equation of a line passing through (-3,7) and having a slope of -1/5 PLEASE HELP

Mathematics

1 answer:

OLEGan [10]3 years ago

8 0

Answer:

y = -1/5x +32/5

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b

we know m = -1/5

y = -1/5x+b

We know a x and y on the line

7 = -1/5(-3) +b

7 = 3/5 +b

Subtract 3/5 from each side

35/5 -3/5 = b

32/5 =b

So the equation is

y = -1/5x +32/5

You might be interested in

Find the measure of angle 2 (27)

Nat2105 [25]

The answer is 45. The red line and angle says that it is 90 degrees and it cute right through a perpendicular line. And 90 divided by two is 45 so 45 is the answer

4 0

4 years ago

Read 2 more answers

2) Ms. Smith, a math teacher, recently gave a mathematics quiz in her class. The ten quiz scores were: 89 87 93 90 12 91 88 87 8

olchik [2.2K]

Answer:

Step-by-step explanation:

The average is 81 a low B, but if you throw out the low score it rises to 88.8, a high B.

I would use the median 88, 89 since it is higher and is a more accurate representation of the majority of the class

8 0

3 years ago

Given: RS = 3x - 16 ST = 4x - 8 RT = 60 Solve for RS.

Aleks04 [339]

The value of RS in the line segment is 20

To solve for RS :

From the line segment attached :

The information given is :

RS = 3x - 16

ST = 4x - 8

RT = 60

RT = RS + ST

60 = 3x - 16 + 4x - 8

60 = 7x - 24

60 + 24 = 7x

84 = 7x

Divide both sides by 7

84/7 = x

x = 12

RS = 3x - 16

RS = 3(12) - 16

RS = 36 - 16

RS = 20

HENCE, RS = 20

Learn more : brainly.com/question/24622406

6 0

3 years ago

Find side lengths C and H

Nuetrik [128]

Answer:

$\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\$

Step-by-step explanation:

Right Triangles

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

$\displaystyle tan60^o=\frac{2}{c}$

Solving for c

$\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}$

Rationalizing

$\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}$

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

$\displaystyle sin45^o=\frac{7}{h}$