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3 years ago

Write the standard form equation for the line: y+1=-45(x+5).

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

5 0

The answer is 45x+y=-226. Hope this helps :)

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The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

Studentka2010 [4]

Answer:

D) $(-2,-9)$

Step-by-step explanation:

<u>Vertex Form of a Vertical Parabola:</u>

$y=a(x-h)^2+k$

Vertex -> $(h,k)$

Axis of Symmetry -> $x=h$

Vertical Scale Factor -> $a$

To turn $f(x)=x^2+4x-5$ into vertex form, we need to complete the square on the right side
Therefore, if $f(x)=0$ , then $0+9=x^2+4x-5+9$ completes the square on the right side
This becomes $9=(x+2)^2$
This means that our function in vertex form is $f(x)=(x+2)^2-9$

Therefore, the vertex of the graph is $(h,k)=(-2,-9)$ .

3 0

3 years ago

Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.

Shtirlitz [24]

Answer:

$\displaystyle 1\frac{1}{3}$

Step-by-step explanation:

[3, 1] and [0, −3]

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 + 1}{0 + 3} = \frac{4}{3} = 1\frac{1}{3}$

I am joyous to assist you anytime.

4 0

3 years ago

Read 2 more answers

A student wishes to increase an amount by 10% and then by 30%. What is the single multiplier that can be used?

liraira [26]

Step-by-step explanation:

let an amount be a

increase an amount by 10% and then by 30%

= a*1.1 *1.3 = a*1.43

7 0

3 years ago

a car needw fixing and abe can fix it for $70 per hour with a $130 part, but gabe can fix it for $80 an hour with a $40 part. ho

Zolol [24]

70 + 130 = 200
This would be Abe’s one hour of work and the part
80 + 80 + 40 = 200
This would be Gabe’s two hours of work and the part

6 0

3 years ago

Read 2 more answers

What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if

kenny6666 [7]

Sqrt(486) - sqrt(24) + sqrt(6)

find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)

Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)

Finally, add all 3 terms together

9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)

8 times square root of 6 is the final answer

8 0

3 years ago