MATHEMATICS HIGH SCHOOL

Find m<1, m<2, and m<3

Answers

Answer 1

Answer:

Answer:

<1 = 113

<2 = 67

<3 = 113

Step-by-step explanation:

m<2 = 67 (because of vertical angles)

<1 + 67 = 180

<1 = 113

<1 = <3 because of vertical angles

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Find the equation of this line.

For the first 3 years of a horse's life, the weight, w (in kilograms), of the horse approximately fits the formula w(t)=30+170t, where t is the age of the horse in years. Which of the following is the most accurate interpretation of the slope of the line represented by this formula? A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life.
B. The slope is 30. This means that the horse gains a total of 30 kilograms in the first 3 years of its life.
C. The slope is 30. This means the horse gains on average 30 kilograms per use for the first 3years of its life.
D. The slope is 170. This means that the horse gains a total of 170 kilograms in the first 3 years of its life.

Answers

Answer:

Option A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life

Step-by-step explanation:

Let

t ----> the number of years

w ---> is the weight in kilograms of the horse

we know that

The equation of a line in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

$w(t)=30+170t$

where

The slope or unit rate is equal to

$m=170\ (kg)/(year)$ ---> (for the first 3 years of a horse's life)

The y-intercept is equal to

$b=30\ kg$ ---> value of w when the value of t is equal to zero

therefore

The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life

How would you convert 5 feet 6 inches to inches

Answers

66 inches. Since 1 foot is equal to 12 inches, all you need to do is to multiply 5 with 12. The answer will be 60. Since 6 inches are already given for the answer, just add up 60 with 6 for you to get 66 inches which is equivalent to 5 feet 6 inches.

Converting 5 feet 6 inches to inches is: 66 inches.

Here, we have,

given that,

convert 5 feet 6 inches to inches

we know that,

Since 1 foot is equal to 12 inches,

all we need to do is to multiply 5 with 12.

i.e. 5 * 12 = 60

The answer will be 60.

Since 6 inches are already given for the answer,

just add up 60 with 6

i.e. 60+ 6 = 66

for we to get 66 inches

which is equivalent to 5 feet 6 inches.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ6

A man walks (12x^2+11x+2) km for (3x+2) hours. What is his speed per hour?

Answers

Step-by-step explanation:

Hey there!

Distance = 12x^2+11x+2.

And Time = 3x+2 hours.

Now;

$speed = (distance)/(time)$

Putallvalues.

$s = \frac{12 {x}^(2) + 11x + 2}{3x + 2}$

Usemidtermfactorizationisnumeratorandsimplifythemtogetanswer.

$s = \frac{12 {x}^(2) + (8 + 3) x+2 }{3x + 2}$

$s = \frac{12 {x}^(2) + 8x + 3x + 2 }{3x + 2}$

$s = (4x(3x + 2) + 1(3x + 2))/((3x + 2))$

$s = ((4x + 1)(3x + 2))/((3x + 2))$

$s = (4x + 1)$

Therefore thespeedis(4x+1)/hr.

Hopeit helps..

Write an equation of the line shown. Then use the equation to find the value of x when y=70.

Answers

Answer:

x = 9

Step-by-step explanation:

The slope would be 6

Y -int would be 16

Through this we can find out that the slope-intercept form is

y = 6x + 16

insert 70 into y

solve for x

70 = 6x + 16

54 = 6x

9 = x

The equation of the line is y = 4x + 18 and the value of x is 13

How to determine the equation of the line

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

m + c = 22

4m + c = 40

When evaluated, we have

3m = 12

m = 4

So, we have

4 + c = 22

c = 18

Next, we have

y = 4x + 18

When y = 70, we have

4x + 18 = 70

Evaluate

x = 13

Hence, the value of x is 13

Answers

A, true is your correct choice in this statement, reason being is because they are exactly the same size and shape.

What is the soultion to the system of equation graphed below ?

Answers

Hello,
answer D (-2,3)

Indeed
y=4x+11
y=-2x-1

==>4x+11=-2x-1
==>6x=-12
==>x=-2

And y=4*(-2)+11=3

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