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Len [333]
3 years ago
15

Determine the image of the point (5, -2) under a rotation of 90 degrees about the origin.

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

90 degrees means 90 degrees counterclockwise.   So from the fourth quadrant we'll end up in the first quadrant.  X and Y get swapped and one negated, it must be the -2 becoming 2, so our image is

(2,5)

Answer: A


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Gwar [14]

Answer:

It will not taste the same bc there is too much oj.

Step-by-step explanation:

The recipe is saying that for every 4 cups of pineapple juice you put in, you must put in 5 cups of orange juice.  That means if you put 8 cups of pineapple juice, you need 10 cups of orange juice, and if you have 12 cups of pineapple juice, you need 15 cups of oj.  Obviously, 15 is less than 20.  You are using too much oj, and because of this, it will not taste the same.

5 0
3 years ago
Read 2 more answers
What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?
Ratling [72]

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

\frac{y_2-y_1}{x_2-x_1}

in this case

it will look like this

\frac{-7.5-(-3.5)}{6-4}=\frac{-4}{2}=-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b   Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

6 0
2 years ago
How old am I if 300 reduced by 2 times my age Is 114
vova2212 [387]
The answer is 93 years old.
6 0
3 years ago
Read 2 more answers
In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .
spayn [35]

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the  nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

\frac{k}{sin(K)}=\frac{j}{sin(J)}   \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)}  \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o  \\

6 0
3 years ago
X2 + y2 - 14x + 10y + 65 = 0 <br><br> will lie ENTIRELY in Quadrant
Afina-wow [57]
Rearranging to standard form 
= (x - 7)^2 + (y + 5)^2 = -65 + 49 + 25
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so the centre is at (7,-5) and the radius is 3

so the circle will be entirely in Quadrant 4.
5 0
3 years ago
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