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Likurg_2 [28]
3 years ago
9

If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin

Mathematics
1 answer:
vichka [17]3 years ago
3 0

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

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What value of x makes the equation square root of x-5=4 true?
AveGali [126]
x-5=4 \\ \\x=4+5\\ \\x=9


8 0
3 years ago
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A bag with 2 2/4 ounces of peanuts can make 2/3 of a jar of peanut butter. It can make one full jar with how many ounces of pean
lbvjy [14]
One whole jar= 3/3 or 1

Set up a ratio comparing the two sets of measurements.

2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.

x= ounces in 1 whole jar

2 2/4 / 2/3= x / 3/3
cross multiply

(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions

10/4 * 3/3= 2/3x
multiply numerators; multiply denominators

(10*3)/(4*3)= 2/3x

30/12= 2/3x
divide both sides by 2/3

30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3

30/12 * 3/2= x
multiply numerators; multiply denominators

(30*3)/(12*2)= x
90/24= x
simplify by 6

15/4 or 3 3/4 ounces= x


ANSWER: 3 3/4 ounces can make a full jar.

Hope this helps! :)
5 0
3 years ago
Which two operations will solve this equation: 4x − 5 = 1
Alex_Xolod [135]

Answer:

4x -5=1

4x= 1+5

x=6/4

x= 1.5

8 0
3 years ago
a certain number of quartersz five times as many pennies as quarters, and 12 more dimes than quarters are worth 8.00. dollars ho
Naya [18.7K]
5... I'm guessing and just trying to get credit lol
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3 years ago
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Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre
Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow  1\frac{1}{5}\ acres in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow \frac{1}{2}\ acre in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

\frac{\frac{1}{2}}{25}=\frac{x}{60}

Solving for "x", you get:

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Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

x=1\frac{1}{5}

Therefore, she can mow  1\frac{1}{5}\ acres in one hour.

3 0
2 years ago
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