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ankoles [38]
2 years ago
15

Find the image of point (-3,5) under enlargement with centre at(-2,-6), with scale factor 4​

Mathematics
1 answer:
Mumz [18]2 years ago
5 0

Answer:

Explanation:

Solution 1 :)

Let  

k

be the scale factor, when  

k

is negative, the "image" triangle is on the opposite side of the center of the dilation  

O

(vertices are on opposite side of O from the preimage). Also note that the triangle has been rotated 180º.

Step-by-step explanation:

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In Lily's garden, there are 5 rose bushes the first year. Each year, she adds two new rose bushes. She
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Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

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2 years ago
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Help me please! I need to get this done by today! I am doing ratios and rates! I will also make you the brainlest
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Step-by-step explanation:

Students Hours

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So,

52×6=8×x

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3 years ago
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An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0
3 years ago
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!! The equal sections of a spinner have one of the following letters: A, B, A, C, B. Predict
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Answer:

the 3rd A

Step-by-step explanation:

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2 years ago
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4. A salesman has a basic salary and, in addition, recelves a commission which is a fixed percentage of his sales volume, when h
vekshin1

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:

400 = 1000m + b  (1)

Also:

300 = 500m + b  (2)

Hence:

m = 0.2 = 20%, b = $200

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

Find out more on equation at: brainly.com/question/2972832

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2 years ago
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