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1 year ago

This is a question from IXL. I need help! ASAP thanks

Mathematics

1 answer:

Nina [5.8K]1 year ago

8 0

The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.

<h3>What is a rotation?</h3>

When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.

For triangle CDE, the vertices are given as follows:

D(-7,-1), C(-7,-7), E(-4,-8).

The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:

(x,y) -> (-y,x).

Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:

D'(1,-7), C'(7,-7), E'(8,-4).

The triangle, with these vertices labeled, is graphed at the end of the answer.

More can be learned about rotations at brainly.com/question/28794840

#SPJ1

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(with solution)

Lunna [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

(1)

Here m = 6 and b = - 2, then

y = 6x - 2

(2)

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Here m = - 2 and b = 5, then

y = - 2x + 5 ← equation in slope- intercept form

Add 2x to both sides

2x + y = 5 ← equation in standard form

(3)

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)

m = $\frac{-3+13}{-4-6}$ = $\frac{10}{-10}$ = - 1 , then

y = - x + b ← is the partial equation

To find b substitute either of the 2 points into the partial equation

Using (- 4, - 3 ) , then

- 3 = 4 + b ⇒ b = - 3 - 4 = - 7

y = - x - 7 ← equation in slope- intercept form

Add x to both sides

x + y = - 7 ← equation in standard form

8 0

3 years ago

A plane averaged 800 mph on a trip going east, but only 400 mph on the return trip. The total flying time in both directions wa

galina1969 [7]

Answer:

1200 miles.

Step-by-step explanation:

Let d represent one way distance.

We have been given that a plane averaged 800 mph on a trip going east, but only 400 mph on the return trip.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

The time taken while going east would be $\frac{d}{800}$ .

The time taken while returning back would be $\frac{d}{400}$ .

Since the total flying time in both directions was 4.5 hr, so we will equate sum of both times with 4.5 as:

$\frac{d}{800}+\frac{d}{400}=4.5$

Make a common denominator:

$\frac{d}{800}+\frac{d*2}{400*2}=4.5$

$\frac{d}{800}+\frac{2d}{800}=4.5$

$\frac{d+2d}{800}=4.5$

$\frac{3d}{800}=4.5$

$\frac{3d}{800}\times \frac{800}{3}=4.5\times \frac{800}{3}$

$d=1.5\times \frac{800}{1}$

$d=1200$

Therefore, the one-way distance was 1200 miles.

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Xelga [282]

Answer:

The third one....

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Coefficient definition

Naily [24]

Answer:

In mathematics, a coefficient is a factor linked to a monomium. Given a monomium divider, the coefficient is the ratio of the monomium by the divider. Thus the monomium is the product of the coefficient and the divider. The different coefficients will depend on the factorization of the monomium. This is usually next to the letter that accompanies the algebraic fraction. A numeric coefficient is a constant factor of a specific object. For example, in the expression 9x2, the coefficient of x2 is 9. In elemental algebra, numeric coefficients of similar terms are grouped together to simplify algebraic expressions.

Step-by-step explanation:

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3 years ago