MATHEMATICS COLLEGE

Tom and Philip were given the graph of a linear function and asked to find the slope. Tom says that the slope is 1
2
while Philip says that the slope is 2.

Which reason correctly justifies Tom's answer?

Answers

Answer 1
Answer:

Answer:

the answer is d

Step-by-step explanation:

i took it on usatestprep.

Answer 2
Answer: It’s no more to the problem?

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Find the value of each trigonometric ratio

Write 5⁴ in expanded form. Then share the value of this exponent.

Answers

Answer: 626

Step-by-step explanation:

5x5x5x5 = 625

What is 160 divided by 18​

Answers

Answer:

80/9 or 8.8888...

Step-by-step explanation:

Answer:

8.88888888889

160 divided by 18 is 8.88888888889.

Short for 8.889

If you draw a tree to show the number of ways to spin a spinner with three regions twice, how many possibilitdies would there be? There would be possibilities. Enter your answer in the answer box here to search Y W N

Answers

Answer: There would be 9 possibilities.

Step-by-step explanation:

Given : The number of regions in the spinner = 3

if we spin the spinner twice, then by using fundamental principal of counting , the number of possibilities is given by :-

3*3=9

Therefore, there would be 9 possibilities.

  • The Fundamental Counting Principle is a method to calculate the number of possibilities by multiplying the events together to get the total number of possibilities.

Basic Geometric Shapes Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 15 points (Score for Question 1: ___ of 3 points) 1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown: a. Hint: Think about it from the cars perspective. The angle youre finding is the inside angle of the cars turn. (a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer. (b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer. (c) Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

Answers

Answer:

(a)105° (b)105° (c)105°

Step-by-step explanation:

The Question Image is attached and a labeled one for explanation.

(a)If the Car is travelling east from the direction point A and heads North East on Kings Avenue in the direction of E, the angle which the car makes is Angle AFE

Angle AFE=180-75=105°

(b)If a car is traveling southwest on King Avenue and is to turn left onto 3rd Street. His probable starting point is North of 3rd street, say F. The angle created is Angle FGC.

Angle AFE =Angle FGC (Corresponding Angles)

Angle FGC =105°

(c)Suppose a car is traveling northeast on King Avenue is to turn right onto 3rd Street. His starting point will be South of 3rd Street.

Angle HGD will be the angle with which it turns.

Angle HGD= Angle CGE(Vertically Opposite Angles)

Angle HGD=105°

What is the measure of the angle created by the car's turning? Explain your answer.

13. Mr. Smith teaches history and math classes. He has 25 students in both classes combined. He has 17 students in the math class and 15 students in the history class. Is it possible that 12 stu- dents are enrolled in both his history and his math classes?!

Answers

Answer:

  no

Step-by-step explanation:

If m, h, b represent the numbers of students in Mr. Smith's math, history, and both classes, then we have ...

  m + b = 17

  h + b = 15

  m + b + h = 25

Adding the first two equations and subtracting the third gives ...

  (m+b) +(h+b) -(m+b+h) = (17) +(15) -(25)

  b = 7 . . . . . . simplify

The number enrolled in both of Mr. Smith's classes is 7, not 12.

_____

Here, m and h represent the number of students enrolled in only one of Mr. Smith's classes, math or history, respectively.

HELP!!! find the value of x

Answers

Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

a^(2) = 3^(2) + 6^(2) = 45

Now user Pythagoras on triangle 2.

b^(2) = x^(2) + 6^(2) = x^(2) + 36

Now use Pythagoras on triangle 3 (the big triangle).

(3 + x )^(2) = a^(2) + b^(2)\nx^(2) + 6x + 9 = a^(2) + b^(2)

Now replace the values for a^(2) and b^(2) from the two equations derived from triangle 1 and 2:

x^(2) + 6x + 9 = 45 + x^(2) + 36

The two x^(2) get cancelled out, so:

6x + 9 = 45 + 36\nx = 12

TA DA!

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