3 years ago

Solve the Pythagorean Theorem for the variable a. c²=a²+b²

Mathematics

2 answers:

jenyasd209 [6]3 years ago

8 0

You need the values of A, B, and C to solve the problem

Aloiza [94]3 years ago

5 0

A = sqrt (c-b)
Subtract the b value
Take the square root

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Determine the quadratic function f whose graph is given. The vertex is (1,-3) and y-intercept is -2

Nesterboy [21]

Answer:

Vertex form: $f(x)=(x-1)^2-3$

Standard form: $f(x)=x^2-2x-2$

Step-by-step explanation:

A quadratic function in vertex form is $f(x)=a(x-h)^2+k$ where $(h,k)$ is the vertex.

We are given $h=1,k=-3$ .

Let's plug that in:

$f(x)=a(x-1)^2-3$ .

Now let's find $a$ .

We will use the $y$ -intercept $(0,-2)$ to find $a$ .

$f(0)=a(0-1)^2-3$

$-2=a(0-1)^2-3$

$-2=a(-1)^2-3$

$-2=a(1)-3$

$-2=a-3$

$1=a$

So the function in vertex form is:

$f(x)=(x-1)^2-3$ .

In standard form, we will have to multiply and combine any like terms.

Let's do that:

$f(x)=(x-1)(x-1)-3$

$f(x)=x^2-x-x+1-3$

$f(x)=x^2-2x-2$

5 0

3 years ago

X times 3+6 when X equals four

Gekata [30.6K]

Step-by-step explanation:

4 x 3 + 6

12 + 6

= 18

4 x (3+6)

4 x 9

= 36

depends whether the 3+6 is in brackets :)

3 0

3 years ago

Read 2 more answers

Josh's team scored 40 points at the game. Josh scored 15% of the team points. How many points did Josh score.

marissa [1.9K]

Answer:

15/100x 40= 6

Step-by-step explanation:

7 0

3 years ago

Westkost [7]

Answer: a

Step-by-step explanation:

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3 years ago

In the formula Distance = Rate x Time, what relationship exists between rate and time in order to keep the distance value consta

Dafna11 [192]

Xy=k, whenever the product of two variables is a constant it is called inverse variation. This is an inverse relationship, intuitively because, as the value of one variable increases, the other decreases and vice versa.

It is easy to spot as xy=k or y=k/x.

5 0

2 years ago