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Nana76 [90]
2 years ago
14

What is the image of the point (3, -2) under a dialtion with a scale factor of 4 with respect to the origin?

Mathematics
1 answer:
Bogdan [553]2 years ago
3 0

Answer:

(12,-8)

Step-by-step explanation:

scale factor is 4

(x,y)=(4x,4y)

(3,-2)=(12,-8)

You might be interested in
In the diagram below, A8 is parallel to CD. What is the value of y? Help me
Anna11 [10]

Answer:

C. 108

Step-by-step explanation:

The angles are known as same-side interior angles. They are supplementary angles so their sum is 180°.

y+72=180\\y+72-72=180-72\\y=108

4 0
2 years ago
A line has a slope of 8 and a y-intercept of 0 what is its equation in slope intercept form
Deffense [45]
Slope-intercept form is y = mx + b.
In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.

1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
y = 8x

2. Slope = 1 ; Y-intercept = 2
y = mx + b
m = 1 ; b = 2
y = 1x + 2
y = x + 2

The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.

Hope this helps!
4 0
2 years ago
If the volume of a storage container is 6720 cubic inches, what is the height of the container
guajiro [1.7K]
18.87 inches the cube root of 6720
6 0
3 years ago
A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult h
bogdanovich [222]

Answer:

(a)

  • Independent Variable- Dosage of Omega-3 Fatty Acids
  • Dependent Variable - Number of news item remembered

(b)Discrete

(c)Ratio Scale and Discrete Variable

(d) Experimental Method

Step-by-step explanation:

The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.

(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).

The memory test involves measuring the number of items each participant remembers from the past three weeks of news.

Therefore:

  • Independent Variable- Dosage of Omega-3
  • Dependent Variable - Number of news item remembered

(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.

(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.

Since the dosage is given in multiples of 50mg, it is a discrete variable.

(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.

5 0
3 years ago
What is the distance between points (1, 4) and (9, 16)? round to the nearest tenth.
11Alexandr11 [23.1K]

Answer:

14.4 to nearest tenth.

Step-by-step explanation:

By the Pythagoras theorem:-

Distance = √ [ (y2-y1)^2 + (x2-x1)^2 ]   where  the 2 points are (x1,y1) and (x2,y2)

= √ [ (16-4)^2 + (9-1)^2]

= √ 208

= 14.4

6 0
3 years ago
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