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3 years ago

Write a slope-intercept equation of the line that passes through the points (4,11) and (6,8).

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Answer:

y= $\frac{3}{-2}$ x +17

Step-by-step explanation:

$\frac{11-8}{4-6}$ = $\frac{3}{-2}$ =slope

11= $\frac{3}{-2}$ *4 + C

11=-6 + C

17=C=Y-intercept

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Antonio pays y dollars per visit to his fitness center and he pays his bills every 3 months . In October he visited the gym 22 t

elena55 [62]

nahhhh im goood. 6235736203274352

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3 years ago

Find the length of GI in the triangle below. Show your work.

love history [14]

Answer:

The length of GI is 90.06 units

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

GH = 60 units

HI = 42 units

∠H = 123°

2. Using the Law of Cosines, we can find the length of GI, this way:

GI² = GH² + HI² - 2 * GH * HI * cos ∠H

Replacing with the real values:

GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 + 2,746.8

GI² = 8,110.8

GI = √ 8,110.8 = 90.06 units

4 0

3 years ago

Read 2 more answers

Simplify the expression by using a double-angle formula. 2 sin 31°cos 31°

qwelly [4]

The double angle formula for the sine is

$\sin(2x) = 2\sin(x)\cos(x)$

The right hand side is exactly your expression, where $x = 31^\circ$

So, rewriting the expression from right to left, we have

$2\sin(31^\circ)\cos(31^\circ) = \sin(2\cdot 31^\circ) = \sin(61^\circ)$

6 0

3 years ago

suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

Ksenya-84 [330]

Answer: Option A: 8.04% compounded daily

Step-by-step explanation:

$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

$Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37$

Option A results in the greater amount of money.

7 0

4 years ago

In the literal equation below, what do C and F represent? F = C + 32

ladessa [460]

Hi!

Let's take a look at the equation:

F = C + 32

What do we notice?

C and F are both variables.

Variables are unknown numbers represented by a letter.

In this case, C and F are the variables.

Hope this helps!

- Melanie

7 0

4 years ago