3 years ago

The given line passes through the points (0, −3) and (2, 3).

1 answer:

4 0

If the 2 lines are parallel, their slopes are the same.

The slope of both is
3+3
m = ---------- = 3
2 - 0

If the new line <span>passes through the point (−1, −1), then the equation in point slope form is:

y+1 = 3(x+1).</span>

You might be interested in

$42,050 increased by .25% monthly over 5 years

lidiya [134]

Answer:

6307.5

Step-by-step explanation:

Hope that helps!

5 0

3 years ago

19.6 is 24.5% of what number ?

wolverine [178]

19.6/0.245=80 and 80*0.245= 19.5 as a check, so it's 80

7 0

3 years ago

Thelma spent 1/6 of her weekly allowance on dog toys, 1/4 on a dog collar, and 1/3 on dog food. What fraction of her weekly allo

Neko [114]

As A Simplified Fraction She Only Has 1/4 Of Her Allowance Left

4 0

3 years ago

Read 2 more answers

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−

Neko [114]

Answer:

$P(x) = x^3 - 10x^2+ 34x-40$

Step-by-step explanation:

Given

$p =1$ -- Leading coefficient

$Zeros: 4\ and\ 3 - i$

Required

Determine the polynomial

Represent the zeros with a and b

Such that

$a = 4$

$b = 3 - i$

The polynomial is:

$P(x) = p * (x - a) * (x - b)$

$P(x) = 1 * (x - 4) * (x - (3 - i))$

However, to solve further: We need to symmetrise over 3-i and its conjugate

$P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))$

$P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\$

To define a suitable function, the expression becomes

$P(x) = (x - 4) * ((x - 3)^2+1)$

$P(x) = (x - 4) * ((x - 3)(x - 3)+1)$

$P(x) = (x - 4) * (x^2 - 6x + 9+1)$

$P(x) = (x - 4) * (x^2 - 6x +10)$

Open bracket

$P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40$

$P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40$

$P(x) = x^3 - 10x^2+ 34x-40$

5 0

3 years ago

caleb gave the cashier $20 to buy two identical Christmas cards there were no sales tax or any other charges . the cashier gave

julsineya [31]

$2.92

$20 - $17.08 = $2.92

6 0

3 years ago

Read 2 more answers