The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game. Which expressions can be used to find the number of points the Eagles scored in the last game? Select all the expressions that apply.

Answer:

Option C is correct.

Two pairs of corresponding angles

Step-by-step explanation:

Given triangle XYZ has been dilated to form triangle LMN.

Dilation states that it is a transformation that produces an image that is the same shape as the original, but of a different size.

therefore, the triangle XYZ  by a dilation is similar to triangle LMN

Similar figures have the

*same shape

*equal corresponding angle measures, and

*have proportional sides.

Therefore, the information which is needed to prove that two given triangles are similar is two pairs of corresponding angles

Two pairs of corresponding angles

The statements that are true about the graph of the function are

• The function in vertex form is f(x) = (x - 4)^2 - 11.
• The y-intercept of the function is (0,5).
• The function crosses the x-axis twice

Vertex and intercept of a function

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function  f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the  function crosses the x-axis twice  

Learn more on vertex and intercepts here: brainly.com/question/12778829

Answer:

A, D, E

Step-by-step explanation:

x intercept (- 7,0)

y intercept (0,3)

Answer:

x = - 7, x =

Step-by-step explanation:

Given

2x² + 13x - 7 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 7 = - 14 and sum = + 13

The factors are + 14 and - 1

Use these factors to split the x- term

2x² + 14x - x - 7 = 0 ( factor the first/second and third/fourth terms )

2x(x + 7) - 1(x + 7) = 0 ← factor out (x + 7) from each term

(x + 7)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

2x - 1 = 0 ⇒ 2x = 1 ⇒ x =

There are 132 ways of selecting them.

What is permutation and combination ?

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

According to the question,

So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.

Multiply both numbers of possibilities

= 12× 11

=132

Hence ,There are 132 ways of selecting them.

To learn more about permutation and combination from here

brainly.com/question/13387529

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