MATHEMATICS HIGH SCHOOL

How would i do this problem 
slope= -2, y-intercept = 7

Answers

Answer 1
Answer: SINCE the slope is -2 it would be like this -2/1 but first plot the y-intercept onto the graph and go down 2 and over 1.
Answer 2
Answer: the equation of the line is
y=mx+c
y=-2x+7

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Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.

Answers

For the answer to the question above asking to prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, 
A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²) is the longest side and is opposite the right angle.

⇒ α² + β² = c² 

"In any right triangle ( 90° angle) , the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."

For example:  Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.  
c2 = a2+ b2
c2  = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5

Let f(x)=(4x^2-11)^3 and g(x)=4x^2-11. given that f(x)=(h^o g)(x), find h(x).

Answers

So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).

Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.

Therefore, h(x) = x^3

You can check this by working it backwards.

Start with: h(x) = x^3
Substitute: x = g(x) = 4x^2-11
Now you have: h(x) = (g(x))^3 = (4x^2-11)^3

Hope this helps!

Answer:

this is the answer

Step-by-step explanation:

Line segment AB measures 18 units. A number line with no numbers. A closed circle above the line is labeled A. A closed circle nine notches down the line is labeled B. The space between point A and the next notch is labeled d. What is d, the distance between tick marks on the number line? 1 unit 2 units 3 units 9 units

Answers

Answer: 2 units

Step-by-step explanation:

Given that :

Length of of line segment (AB) = 18 Units

d = distance between point A and successive notch

Number of notches between point A and B = 9

If the length of line AB = 18 units and the number of notches between point A and B = 9

Then distance d, between successive tick marks :

Length of Line segment / number of notches or tick marks between A and B

= 18 units / 9

= 2 units.

Hence distance between tick marks on the number line is 2 units.

Answer:

its b

Step-by-step explanation:

b on edu 2020

A hobby shop has 4 times as many model airplanes as model helicopters. The total number of models is 35. How many model airplanes does the hobby shop have?

Answers

let's call airplanes "a" and helicopters "h".

The total number of models is 35. This means that a+h=35

4 times as many model airplanes as model helicopters. This means a=4h.

we can substitute this into the previous equation:

4h+h=35
5h=35

dividing by 5:

h=7

so he has 7 helicopters and 4*7=28 airplanes

Which is the best estimate for the quotient of 312.21 59.113?a. 5,000
b. 50
c. 5
d. 0.5

Answers

Answer=C

The first step in estimating is to round the numbers into simpler numbers so that we can easily do the math in our head...

312.21 becomes 300

59.113 becomes 60

300÷60=5


Answer=C
Answer=C

312.21 would be 300

59.113 would be 60

300÷60=5
Im pretty sure that is right IDK im in Middle School

PLEASE HELP MEEEENelson went to the Taste of Tacos, a festival where people come to taste a variety of tacos. The festival charges an admissions fee to attend and then charges $3 per taco. By the end of the festival, Nelson spent a total, y, of $30 and purchased 6 tacos, x. Write an equation in slope-intercept form to represent this.

Answers

Answer:

\sf y = 3x + 12

Step-by-step explanation:

Definition:

The slope-intercept form of a linear equation is a way of writing a linear equation in which the y-intercept and the slope of the equation are explicitly represented. The y-intercept is the point where the line crosses the y-axis, and the slope is the rate of change of the line.

The slope-intercept form of a linear equation is:

\boxed{\sf y = mx + b}

where:

  • m is the slope of the line
  • b is the y-intercept of the line

In this case, the slope of the line is $3, because Nelson pays $3 for each taco he purchases.

The y-intercept of the line is the admission fee, which we do not know. Therefore, we can write the equation as follows:

\sf y = 3x + b

To find the value of b, we can use the fact that Nelson spent a total of $30 and purchased 6 tacos. This means that the point (6, 30) is on the line.

We can substitute these values into the equation and solve for b:

30 = 3(6) + b

30 = 18 + b

b = 30 - 18

b = 12

Therefore, the equation that represents the total amount of money Nelson spent, y, in terms of the number of tacos he purchased, x, is:

\sf y = 3x + 12

Step-by-step explanation:

To represent Nelson's expenses at the Taste of Tacos festival with an equation in slope-intercept form (y = mx + b), where y is the total cost and x is the number of tacos purchased, we can break down the cost into two components:

  1. The admission fee, which is a fixed cost (b).
  2. The cost per taco, which is $3 (the slope or rate, m).

Given that Nelson spent a total of $30 and purchased 6 tacos, we can set up the equation as follows:

Total Cost (y) = Cost of Admission Fee + Cost of Tacos

y = b + 3x

Now, we know that the total cost (y) is $30, and the number of tacos (x) is 6. Substituting these values into the equation, we get:

30 = b + 3(6)

Now, solve for b:

30 = b + 18

To isolate b, subtract 18 from both sides of the equation:

b = 30 - 18

b = 12

So, the equation in slope-intercept form representing Nelson's expenses at the festival is:

y = 3x + 12
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