What multiplies to 36 and adds to 12

The coordinates of the preimage of polygon ABCD and the image ofA'B'C'D' are given below. What rule describes the transformation

I am Lyosha [343]

The coordinates of polygon ABCD are:

A(4,3) B(4,0) C(-1, 1) D(-1, 4)

and

The coordinates of the transformed polygon A'B'C'D' are:

A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)

To understand the transformed rule, just remove the coordinates of the actual polygon from the transformed polygon.

A' - A = (1, 1) - (4, 3) = (1 - 4, 1 - 3) = (-3, -2)

Similarly,

B' - B = (1, -2) - (4, 0) = (1 - 4, -2 - 0) = (-3, 2)

The same result will be obtained from other points (C and D). Therefore, the first option (-3, 2) is correct.

3 0

1 year ago

Raul is practicing for baseball tryouts he wants to find how far he can hit a baseball he hits the ball 10 times and measures th

wel

Answer:

See Explanation

Step-by-step explanation:

Given

$n = 10$ --- Number of tryouts

Required

Determine the average distance

This question has missing details, as the distance he hits the ball in each tryout is not given. However, I'll give a general explanation.

The mean is calculated as:

$\bar x = \frac{\sum x}{n}$

$\sum x$ means the sum of the distance in each tryout.

Assume that the distance in the 10 tryouts are: $6, 8, 5, 9, 4, 5, 8, 7, 7, 6.$

So, the mean is:

$\bar x = \frac{6+ 8+ 5+ 9+ 4+ 5+ 8+ 7+ 7+ 6}{10}$

$\bar x = \frac{65}{10}$

$\bar x = 6.5}$

So, the average distance is 6.5

4 0

3 years ago

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Please help me!! thank you!!

I am Lyosha [343]

Answer:

A. 106 + 2x + 50 = 180

Step-by-step explanation:

A. 106 + 2x + 50 = 180. Correct.

B. 2x + 50 = 180. Incorrect. Angle is not a Straight Angle.

C. 2x + 50 = 106. Incorrect. That equals the first angle.

hope this helps.

4 0

3 years ago

How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

3 years ago

Mr. Harmin is sitting in his office on the third floor of a building. He is at an elevation of 30 feet in relation to street lev

Nataliya [291]

Answer:

B and C are true.

8 0

3 years ago

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