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Soloha48 [4]
3 years ago
14

Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s clai

m is below. Jeremiah: The y-intercept is at (15, 0). Lindsay: The x-intercepts are at (–3, 0) and (5, 0). Stephen: The vertex is at (–4, –1). Alexis: The midpoint between the x-intercepts is at (4, 0). Which student’s claim about the function is correct? The claim by is correct.
Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0

Answer:

It's Stephen

Step-by-step explanation:

I did the assignment

White raven [17]3 years ago
3 0
Stephen is correct the vertex is indeed at (-4,-1)
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29. Find the height of the trapezoid. Use this height to find the area. (A =
harkovskaia [24]

Answer:

<em>The area of the trapezium is 168</em>

Step-by-step explanation:

<u>Area of a Trapezoid</u>

Given a trapezoid of parallel bases b1 and b2, and height h, the area is calculated with the formula:

\displaystyle A=\frac{b_1+b_2}{2}h

The trapezoid in the figure has b1=15 and b2=27. We need to find the height. If we focus on triangle BCD, we can calculate the height as the distance EC by using the Pythagora's Theorem:

10^2=EC^2+BC^2

The side BC can be found as half the difference of the bases:

BC=\frac{27-15}{2}=6

Solving for EC:

EC^2=10^2-6^2=100-36=64

EC=\sqrt{64}=8

Now we have the height, calculate the area:

\displaystyle A=\frac{15+27}{2}*8

\displaystyle A=\frac{42}{2}*8

A = 168

The area of the trapezium is 168

5 0
3 years ago
Prove AED is equal to DEB. Do not use vertical angle theorem
Nastasia [14]

Answer:

Step-by-step explanation:

From the figure attached,

Given:

Lines AB and CD are intersecting each other at a point E.

To prove:

∠ACB ≅ ∠DEB

             Statements                                 Reasons

1). ∠AEC + ∠BEC = 180°                        1). Linear pair theorem

2). ∠DEB + ∠BEC = 180°                       2). Linear pair theorem

3). ∠AEC + ∠BEC = ∠DEB + ∠BEC      3). Transitive property of equality

4). ∠AEC = ∠DEB                                  4). Subtraction property of equality

6 0
3 years ago
Simplify and answer the boxes.
s2008m [1.1K]

Answer:

\huge\boxed{\dfrac{x^2+9^2}{x-3y}+\dfrac{6xy}{3y-x}=x-3y}

Step-by-step explanation:

Domain:

x-3y\neq0\Rightarrow x\neq3y

\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{3y-x}=\dfrac{x^2+9y^2}{x-3y}+\dfrac{6xy}{-(x-3y)}\\\\=\dfrac{x^2+9y^2}{x-3y}-\dfrac{6xy}{x-3y}=\dfrac{x^2+9y^2-6xy}{x-3y}\\\\=\dfrac{x^2-2(x)(3y)+(3y)^2}{3y-x}=\dfrac{(x-3y)^2}{3y-x}\\\\=\dfrac{\bigg[-1(3y-x)\bigg]^2}{3y-x}=\dfrac{(-1)^2(3y-x)^2}{3y-x}\\\\=\dfrac{1(x-3y)(x-3y)}{x-3y}=x-3y

Used:

The distributive property: a(b + c) = ab + ac

(a - b)² = a² - 2ab + b²

6 0
2 years ago
Pls solve with step by step solution, thx .
Gnoma [55]

Answer:

Step-by-step explanation:

(-4,0) (0,3)

(3-0)/(0+4)= 3/4

y - 0 = 3/4(x + 4)

y = 3/4x + 3

4 0
3 years ago
HELP ME FOR LOVE OF GOD THIS HOME WORK IS GIVING ME BRAINWAVES
Ierofanga [76]
The answer is A, the flat rate is the y-intercept and hourly is the slope
5 0
2 years ago
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