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2 years ago

What is the slope of the line that passes through the points (-10, -8) and

1 answer:

7 0

First of all we have to find the slope

m = y₂-y₁ / x₂-x₁

m = -8 + 16 / -10 + 8

m = 8/-2

m = -4

y-y₁ = m (x-x₁)

y + 8 = -4 (x + 10)

y + 8 = -4x - 40

y = -4x -40 - 8

y = -4x -48

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Partially factored form: f(x) = (x − 3)(x 3)(x2− 4x 5) use the quadratic formula to identify the zeroes of x2 − 4x 5. x =

Dimas [21]

Answer:

2 ± i

Step-by-step explanation:

by 5, I assume you mean +5

x² - 4x + 5 = 0

x = (-b±(√(b²-4ac)) / 2a

x = (4 ± (√(16 - 20)) / 2

x = (4 ± (√(-4)) / 2

√-4 = √4√-1 which is 2i

x = (4 ± 2i) / 2

x = 2 ± i

8 0

1 year ago

What is 56 1/4 as a fraction in simplest form?

Luba_88 [7]

We have to simplify $56 \frac{1}{4}$ %

This is a mixed fraction, with 56 as the whole number part and $\frac{1}{4}$ as the fractional part

Such a fraction can be simplified as:

Denominator of simplified fraction = Denominator of mixed fraction

and Numerator of simplified fraction = (Denominator of mixed fraction × Whole number) + (Numerator of simplified fraction)

⇒ Denominator of simplified fraction = 4

and Numerator of simplified fraction = (4 × 56) + (1)

⇒ Numerator of simplified fraction = 225

Hence, the mixed fraction in its simplest form is $\frac{225}{4}$

6 0

2 years ago

How do you graph y=0.2x+4

KatRina [158]

root (-20,0) vertical intercept (0,4)

7 0

2 years ago

Evaluate the integral. (Use C for the constant of integration.) <br> cos(x) (8 + 7 sin^2(x)) dx

UNO [17]

Answer: $8 \sin x +7(\dfrac{\sin^3x}{3})+C$

Step-by-step explanation:

Consider $\int \cos(x) (8+7 \sin^2(x)) \, dx$

Substitute t= sinx

then dt = cos x dx

$\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C$

$[\int x^ndx=\dfrac{x^{n+1}}{n+1}+C]$

$=8 \sin x +7(\dfrac{\sin^3x}{3})+C$

Hence, $\int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C$

5 0

2 years ago

The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model trial is 5 inches long. What is the length, in f

garik1379 [7]

If 1 inch is 13.5 feet, then 5 inches = (13.5 * 5) = 67.5 ft

8 0

2 years ago

Read 2 more answers