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3 years ago

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6,3), B'(-2, 1)

Mathematics

1 answer:

Fed [463]3 years ago

8 0

Answer:

A(3, -6)
B(1, 2)
C(7, -1)

Step-by-step explanation:

Rotation by -90° about the origin is the transformation ...

(x, y) ⇒ (y, -x)

So, your pre-image points are ...

A'(6, 3) ⇒ A(3, -6)

B'(-2, 1) ⇒ B(1, 2)

C'(1, 7) ⇒ C(7, -1)

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The cost of a taxi ride is represented by the function c(m)=2m+4, where m is the number of miles traveled. What is the cost per

galina1969 [7]

Answer:

cost per mile = $2.

Step-by-step explanation:

Given the cost function, c(m) = 2m + 4,

Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.

Therefore, the cost per mile of the cab is $2.

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2 years ago

10. Use the properties of exponents to simplify the expression:

aivan3 [116]

<h3><u>Answer</u> :</h3>

$\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}$

Let's solve !

$:\implies\sf\:25^{\frac{3}{2}}$

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$:\implies\boxed{\bf{\red{125}}}$

<u>Hence, Oprion-D is correct</u> !

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3 years ago

COMPLETING THE SQUARE<br> X^2– 2x +

Studentka2010 [4]

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 , b = -2, c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1 this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

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3 years ago

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$