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3 years ago

Can someone help me? Thanks!

Mathematics

2 answers:

Alenkinab [10]3 years ago

7 0

Answer:

Step-by-step explanation:

a^2+b^2=c^2 is the pythagorean theorem

solution a just has it flipped around

kogti [31]3 years ago

6 0

Answer:

Step-by-step explanation:

a^2+b^2=c^2 is the pythagorean theorem

solution a just has it flipped around

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

2 years ago

What is the slope of the line that passes through the points (1, -2) and (3, -5)?

Ksivusya [100]

Slope of the line is -3/2

Step-by-step explanation:

Step 1: Given points are (1, -2) and (3, -5)
Step 2: Equation for slope, m = (y2 - y1)/(x2 - x1)

⇒ m = (-5 - -2)/(3 - 1) = -3/2

4 0

3 years ago

Which of the following is the algebraic expression that best describes the sequence 3,6,9,12 ?

Novay_Z [31]

I don't see any choices so I am going to give you what I think the answer would be. The rule would be 3x. That would be you could plug any number in and they would give you the sequence. Example:
x = 1
x times 3 = 3.
We could even find future things like:
x = 10
x times 10 = 30.
If we were doing it based on the algebraic expression it would be "multiplication" because we are multiplying. Hope this helped. :)

6 0

3 years ago

Read 2 more answers

How to solve this equation

mariarad [96]

$\bf \sqrt{5x+19}-4=3x-15
\\\\
\sqrt{5x+19}=3x-15+4\\\\ \sqrt{5x+19}=3x-11\leftarrow \textit{square both sides}
\\\\
(\sqrt{5x+19})^2=(3x-11)^2
\\\\
5x+19=(3x-11)^2\qquad 
\begin{cases}
(3x-11)^2\to (3x-11)(3x-11)\\
 --------------\\
\textit{or use FOIL to expand it}
\end{cases}$

then solve for "x"

7 0

3 years ago

7. Here are the prices for cans of juice that are the same brand and the same size at different

Luda [366]

Answer:

i just want point lol

Step-by-step explanation:

6 0

2 years ago