MATHEMATICS HIGH SCHOOL

Explain what Nate did correctly.
Explain the mistake Nate made.

Answers

Answer 1

Answer:

Answer:

Nate correctly inserted the x and y values. Nate did not put in the correct x and y values.

Step-by-step explanation:

Since this is point slope formula, you must put the same coordinate. Ex: (Y1, X1)

So a correct point slope formula would be: y-(-5)= 5(x-1)

Sinne y-y1= m(x-x1_

As, y1 = coordinate #1... x1 = coordinate of #1 ,,, m= slope

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Two towns are 1,100 miles apart. A group of hikers Starts from each town and walks down the trail toward each other. They meet after a total hiking time of 240 hours. If one group travels 2 1/2 mile per hour slower than the other group, find the rate of each group.

Answers

Answer:

3.54 and 1.04

Step-by-step explanation:

Given:

Two towns are 1,100 miles apart.

A group of hikers Starts from each town and walks down the trail toward each other..

They meet after a total hiking time of 240 hours.

If one group travels 2 1/2 mile per hour slower than the other group.

Question asked:

Find the rate of each group.

Solution:

Let speed of faster hiker = $x\ mph$

Speed of slower hiker = $x-(5)/(2)\ mph$

As we know:

$Distance=speed* time$

Total distance between two town = Total combined speed of both hikers $*$ Total combined time taken

$1100=(x+x-(5)/(2) )*240\n \n Dividing\ both\ sides\ by\ 240\n \n 4.58=(x+x-(5)/(2) )\n \n 4.58=2x-(5)/(2) \n \nAdding\ both\ sides\ by\ (5)/(2) \n \n 4.58+ (5)/(2)=2x- (5)/(2)+ (5)/(2)\n \n (2*4.58+5)/(2) =2x\n \n (14.16)/(2) =2x\n \n By \ cross\ multiplication\n \n 2*2x=14.16\n \n 4x=14.16$

$By\ dividing\ both\ sides\ by \ 4\n \n x=3.54\ miles\ per\ hour$

Speed of faster hiker = $x\ mph$ = 3.54 miles per hour.

Speed of slower hiker = $x-(5)/(2)\ mph$ =

$3.54-(5)/(2) =3.54-2.5=1.04\ miles\ per\ hour$

Therefore, speed of faster hiker is 3.54 miles per hour and speed of slower hiker is 1.04 miles per hour.

Evaluate the function f(x) = x2 + 3x for both of the following: a. Find f(0)
b. Find f(4)
PLEASE ANSWER QUICK

Answers

f(x)=x²+3x

f(0)=0²+3*0=0+0=0

Answer: f(0)=0

f(4)=4²+3*4=16+12=28

Answer: f(4)=28

1. A polyhedron has 6 vertices and 9 edges. How many faces does it have? a. 3
b. 5
c. 7
d. 9
2. A polyhedron has 25 faces and 36 edges. How many vertices does it have?
a. 11
b. 12
c. 13
d. 14

Answers

V - number of vertices,
E - number of edges,
F - number of faces:
Euler`s polyhedron formula:
V - E + F = 2
1. F = E - V + 2
F = 9 - 6 + 2 = 5
Answer: A ) 5
2. V = E - F + 2
V = 36 - 25 + 2 = 13
Answer: C ) 13

Answer: 1. B. 2. C. 3. D. 4. A. 5. A.

For the whole practice test :)

What is the next term in the pattern shown below? 4.5, 9, 13.5, 18

Answers

The next term in the pattern is 22.5.

To find the next term in the pattern, it's essential to identify the underlying rule or mathematical operation that governs the progression of the given numbers.

In this case, we can observe that the sequence is increasing by a consistent difference of 4.5 between each consecutive term.

Starting from 4.5 and adding 4.5 successively, we get:

4.5 + 4.5 = 9

9 + 4.5 = 13.5

13.5 + 4.5 = 18

The next term would be:

18 + 4.5 = 22.5

So, the next term in the pattern is 22.5.

In this sequence, each term is obtained by adding 4.5 to the previous term, resulting in an arithmetic progression.

If you continue this pattern, you will keep adding 4.5 to each subsequent term to find the following numbers in the sequence.

For similar question on pattern.

brainly.com/question/28580633

#SPJ3

22.5

note that the difference (d ) between each term is

d = 9 - 4.5 = 13.5 - 9 = 18 - 13.5 = 4.5

to obtain the next term add 4.5

next term = 18 + 4.5 = 22.5

A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees. What is the measure of the tangent tangent angle?

Answers

Answer:

$M=45 degrees$

Step-by-step explanation:

It is given that A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees, thus in this the vertex lies outside, therefore

The measure of the tangent tangent angle is the half of the difference of the two given arc, that is

$M=(1)/(2)(225-135)$