8. Graph the following equation: y = x2 + 4x - 5

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

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Answer:

Given: y = x2 + 4x – 5

Find the following

y-intercept

x-intercepts or the zeros of the functions or roots

graph of the function, given vertex is at (-2, -9)

Solve the system of linear equations – x + 6y = 8 2x + 5y = 3

Write the names of curves, given their equations:

x2/16 + y2/9 = 1

3y = 2x + 5

(x - 5)2 + (y + 6)2 = 25

x2/16 – y2/25 = 1

y = 2x2 + 10x + 25

Write down the first five terms of the arithmetic progression with the first term 8 and common difference 7, then find the 17th

Write down the first five terms of the geometric progression with the first term 3 and common ratio 2, then find the 17th

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In , side is extended to point E. When connected to vertex A, segment is parallel to segment . In this construction, you are giv

givi [52]

Angle 1 is congruent to angle 2, since BD bisects <ABC and the two angles created on each side of the bisector at point B are equal.
<2 ≅ <3 because of the corresponding angles theorem.
<1 ≅ <4 because alternate angles are congruent if two parallel lines are cut by a transversal.
<3 ≅ <4 by the substitution property of equality.
AD/CD = EB/CB by the triangle proportionality theorem.
If two angles in a triangle are congruent, the sides opposite the angles are congruent, so AE = EB.
AD/CD = AB/CB by the substitution property of equality.

<h3>The properties of similar triangles.</h3>

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

<h3>What is the substitution property of equality?</h3>

The substitution property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.

In this context, we can reasonably infer and logically deduce that the ratio of AD/CD is equal to AB/CB based on the substitution property of equality.

Read more on substitution property here: brainly.com/question/2459140

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Complete Question:

In ΔABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction, you are given that BD bisects <ABC.

Prove: AD/CD = AB/CB.

Complete the paragraph proof.