MATHEMATICS HIGH SCHOOL

What is the solution of StartRoot x squared + 49 EndRoot = x + 5?

Answers

Answer 1

Answer:

Answer:

2.4

Step-by-step explanation:

√(x² +49) = x + 5
(√(x² +49) )²= (x + 5)² ⇒ square of both sides
x² + 49 = x² + 10x + 25 ⇒ simplifying, x² get cancelled
10x = 49 -25
10x = 24
x= 24/10
x= 2.4

Answer is 2.4

Answer 2

Answer:

Answer:

12/5

Step-by-step explanation:

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A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the number of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.

Answers

Given:
adults = x
male = 7x + 1
female = (7x + 1)/2
total number of people = 82

x + (7x + 1) + [(7x +1)/2] = 82
2x/2 + (14x + 2)/2 + (7x + 1)/2 = 82
2x + 14x + 2 + 7x + 1 = 82 * 2
23x + 3 = 164
23x = 164 - 3
23x = 161
x = 161/23
x = 7

adults = x = 7
males = 7x + 1 = 7(7) + 1 = 49 + 1 = 50
females = (7x+1)/2 = 50/2 = 25

7 + 50 + 25 = 82

Answer:

50 males, 25 females

Step-by-step explanation:

How do I do this? I am very confused.

Answers

what are you trying to do?

Answer:

Hello! Explain this questions please?
This might be edited after you tell what you meant by this picture.

Find the slope between the two points: (3,-2) and (4,7)

Answers

The slope between the two points (3,-2) and (4,7) is 9.

What is slope of a line?

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.

To find slope given two(x1, y1) and(x2, y2) points, we use the formula

$m=(y_2-y_1)/(x_2-x_1)$

Given coordinates are:(3,-2) and (4,7)

x1= 3, x2= 4 , y1= -2 and y2= 7

Using Formula,

$m=(7-(-2)))/((4-3))$

= 9 /1

= 9

So, the slope between two points is 9.

Learn more about slope here:

brainly.com/question/2491620

#SPJ2

To find slope given two points, there is a formula you can use: (y2-y1)/(x2-x1). Y2 stands for the second y coordinate and y1 stands for the first y coordinate. The same logic applies to the x's. Let's assume that (3, -2) is x1, y1 and (4,7) is x2, y2. Let's plug them into the formula.

(7-(-2))/(4-3).
7-(-2)=9 for total y value.

4-3=1 for the x value.

Now we divide them.
9/1=9. 9=m. M is the variable commonly used for slope. Hope this helped!

Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice

Answers

first time 23 words
after week 26 words
after two weeks 29 words
so after 1 week Alfred is faster on 3 words
so after 4 weeks he could type 35 words per minute

Find the lowest common multiple of 124 and 200. The LCM of two numbers is 130.