Could someone help me understand how to solve questions like these? Thank you!

Answers

Answer 1

Answer:

Answer:

$y=-(1)/(4)x+(5)/(4)$

Step-by-step explanation:

You solve a question like this by finding the slope and intercept of the desired line and putting those values into the answer form.

The relationship between slopes of perpendicular lines is that one is the negative reciprocal of the other.

The slope-intercept form of the equation for a line is ...

y = mx + b . . . . . . where m is the slope and b is the y-intercept

The given line is in "slope-intercept form," so you can identify the slope as 4 and the y-intercept as 6. (For this question, the y-intercept of the given line is irrelevant.)

Using the relationship between slopes of perpendicular lines, you now know the slope of the line you want is m = -1/(slope of given line) = -1/4. This is the coefficient of x in the slope-intercept form, so fills the blanks on the left.

To make the line go through the point (1, 1), you need to choose a y-intercept that makes (x, y) = (1, 1) a solution to the equation. For a y-intercept of "b", that means ...

y = -1/4x + b

1 = -1/4·1 + b . . . . . . . . fill in the values of x and y at the given point

1 + 1/4 = b = 5/4 . . . . . add 1/4 to both sides of the equation

Now you know the equation you want is ...

$y=-(1)/(4)x+(5)/(4)$

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Whatisthevalueof5.8dividedby1.2

Answers

5.8 / 1.2 = 4.83 I hope this is helpful!

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

The answer is 0.24

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:

1. The probability that the pianist will be a boy,

2. The probability that the alternate will be a girl.

So, let's calculate these probabilities:

There are in total 5 children:

2 boys + 3 girls = 5 children.

1. The probability that the pianist will be a boy is 2 boys out of 5 children, which is 2/5.

2. The probability that the alternate will be a girl is 3 girls out of 5 children, which is 3/5.

The probability that the pianist will be a boy and the alternate will be a girl is:

2/5 × 3/5 = 6/25

6/25 × 4/4 = 24/100 = 0.24

the answer is 30 percent

Jose wants to purchase a bike that normally sells for $150. If the bike is on sale for 30% off, how much will he pay before tax?

Answers

$150 x .30= $45
$150-$45= $105
before tax it will be $105

Where is the vertex of the graph of y = -x^2+4x+5 located? (2.9)
(-2, -7)
(2, 5)
(-2, 1)

Answers

Hello,

y=-x²+4x+5=-(x²-4x+4)+5+4=-(x-2)²+9

Answer A (2,9)

In a group of 31 students, 7 study both Art and Biology.14 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

7/10 or 0.7 or 70%

Step-by-step explanation:

I would use a venn diagram, and fill it in! Then there are 7 do A &B and 3 who just do A. That as a probaility, your answer!

Cate and Elena were playing a card game. The stack of cards in the middle had 26 cards in it, to begin with. Cate added 5 cards to the stack. Elena then took 13 cards from the stack. Finally, Cate took 4 cards from the stack. How many cards were left in the stack?

Answers

Answer:

Step-by-step explanation:

so, 26+5-13-4=ANSWER!!!!!

26 cards to begin with.

Cate added 5 cards to the deck. +5

elena took 13 cards from the deck. -13

Cate took 4 cards from the deck. -4

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