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4 years ago

Determine the slope of a line that contains the points P(-5,-7) and Q(5,-5)

Mathematics

1 answer:

PilotLPTM [1.2K]4 years ago

7 0

Answer:

1/5

Step-by-step explanation:

-5 - (-7) = 2

5 - (-5) = 10

2/10 ÷2

slope = 1/5

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ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .

Then $T(x,y) = (x + 1,y-2)$ and

$T(1,1)=(1+1,1-2)=(2,-1)=A'$

$T(3,0)=(3+1,0-2)=(4,-2)=R'$

Therefore $A'= (2,-1)$ and $R'=(4,-2)$ . The triangles CAR and C'Q'R' are shown in the figure below.

7 0

3 years ago

65006500 is 666 thousands plus 555 hundreds.

madam [21]

Answer:

Choice C

Step-by-step explanation:

5 Thousand + 15 hundred = 6500

8 0

3 years ago

Patrick and Shelby are playing a game. They toss a fair six-sided number cube, numbered 1 through 6, and they spin a spinner whi

zhuklara [117]

Answer:

(Red, 1) (Red, 2) (Red, 3) (Red, 4) (Red, 5) (Red, 6)

(Blue, 1) (Blue, 2) (Blue, 3) (Blue, 4) (Blue, 5) (Blue, 6)

Step-by-step explanation:

8 0

3 years ago

The sum of the angle measured in a triangle is 180°.Two angle of a triangle measures 20° and 50°.What did is the measure of the

babunello [35]

Answer:

110 Degrees

Step-by-step explanation:

The sum is when different numbers are added.

When all angles are added it adds up to 180 Degrees for any triangle.

Triangles have three sides and two are given as 50 Degrees and 20 Degrees.

There is one angle remaining.

50 Degrees + 20 Degrees = 70 Degrees

Therefore, the last angle must be 110 Degrees. (180-70)

7 0

4 years ago

Find the amount of the discount on a 234 item with a discount of 15% weggy

AleksandrR [38]

Original amount = $234

Discount = 15% of $234 = 0.15 x 234 = $35.10

Sale Price = $234 - $35.10 = $198.90

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Answer : Sale Price is $198.90
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3 0

3 years ago