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KiRa [710]
1 year ago
14

The image of the point (3, -4) under a translation is (0, –5). Find the coordinatesof the image of the point (8,7) under the sam

e translation.

Mathematics
1 answer:
Sav [38]1 year ago
6 0

We will have the following:

*First: We determine the translation rule:

We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

(x,y)\to(x-3,x-1)

Second: We apply the translation rule to the other point to determine it's image, that is:

(8,7)\to(8-3,7-1)\to(5,6)

So, the image of the second point is (5, 6).

You might be interested in
Evaluate cot870°.<br> 1. - sqrt3<br> 2. -1/sqrt3<br> 3. 1/sqrt3<br> 4. sqrt3
ivolga24 [154]

ANSWER

-\sqrt{3}

EXPLANATION

The given angle is 870°.

870°-360°-360°=150°

This means that:

870° is coterminal with 150°, hence its terminal side is in the second quadrant.

It makes an acute angle of 30° with the x-axis.

Note that cotangent is negative in the second quadrant,

Hence,

\cot(870 \degree)  =  \cot(150 \degree)  =  -  \cot(30 \degree)  =  -  \frac{1}{ \tan(30 \degree) }  =  - \sqrt{3}

The first option is correct.

3 0
3 years ago
What is the substitution for 4x+6y=332 &amp; x+y=10
Elodia [21]
X+y=10, x=10-y
4(10-y)+6y=332
solve the next parts yourself 
Substitution is to use one variable to express another variable in order to eliminate one variable in the original equation
6 0
3 years ago
I need help on this question
Anastaziya [24]

Answer:

70

Step-by-step explanation:

Hey There!

To find the range you subtract the largest number from the smallest number. In this data plot it seems that the largest number is 85 and the lowest number is 15

85-15=70

Therefore the range is 70

4 0
3 years ago
Read 2 more answers
#
fiasKO [112]

4. The point Z is the orthocenter of the triangle.

5. The length of GZ is of 9 units.

6. The length of OT is of 9.6 units.

<h3>What is the orthocenter of a triangle?</h3>

The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.

Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.

For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:

  • The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
  • The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.

<h3>Missing Information</h3>

The complete problem is given by the image at the end of the answer.

More can be learned about the orthocenter of a triangle at brainly.com/question/1597286

#SPJ1

8 0
1 year ago
What is the meaning of the point (25, 20)?
Reil [10]

Answer:

(25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.

Step-by-step explanation:

The general representation P(x,y) represents the Cartesian Representation of a point in a 2 Dimension.

Here, x represents the distance of the point   P from y axis to the x axis.

and y  represents the distance of the point   P from x axis to the y axis.

(x, y) together gives the  2 dimensional representation of the point P.

Now here, the given coordinates are (25, 20)

So, here x = 25 and y = 20

So, (25, 20 ) represents that the dimension of the coral  is 25 feet long and 20 feet wide.

Hence, option 3 is the most appropriate.

6 0
3 years ago
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