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3 years ago

What is the slope of the line shown below?

Mathematics

2 answers:

fomenos3 years ago

8 0

I messed up I see what I did wrong, so I leave it hereeee

garri49 [273]3 years ago

5 0

Answer:

Step-by-step explanation:

6/3

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what is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)

riadik2000 [5.3K]

Answer:

$y = -\frac53x + 20$

Step-by-step explanation:

Hello!

A line that is perpendicular to another has an opposite-reciprocal slope.

Meaning:

Flip the sign (+/-)
Flip the fraction

The slope perpendicular to 3/5 would be -5/3.

We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.

<h3 /><h3>Solve for B</h3>

$y = -\frac53x + b$
$-5 = -\frac53(15) + b$
$-5 = -25 + b$
$20 = b$

The y-intercept of the new line is 20.

The equation is $y = -\frac53x + 20$

6 0

2 years ago

A restaurant chef made 2 7/10 jars of pasta sauce. Each serving of pasta requires 9/10 of a jar of sauce. How many servings of p

Kisachek [45]

The chef will be able to prepare 3 servings of pasta because if you take one away from a whole number you have 9/10ths so you do that process again you have 2 servings but, you have 2 tenths left over so you add that to the 7 tenths.

Hope this helps :)

6 0

3 years ago

Select the correct answer from each drop-down menu. Gino is buying wood screws at the corner hardware store. The table shows dif

patriot [66]

Without the table I will guess 5 is common to all 3 they are proportional

6 0

3 years ago

The population of a town has approximately doubled every 17 years since 1950. If the equation P=Po2k, where Po is the population

natka813 [3]

The population of a town has approximately doubled every 17 years since 1950.

the equation P= $P_02^k$ where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.

When t=17 yrs

P=2 $p_{0}$

for 1 year

The equation becomes

P = $P_02^\frac{t}{17}$ -------------(1)

Our original equation is

$P=P_02^k$ ----------------------------------(2)

equating expression 1 and 2

$P_02^\frac{t}{17}=P_{0}2^k$

Cancelling $P_{0}$ from both sides we get

$2^\frac{t}{17}=2^{k}$

t/17=k

⇒k=t/17 is the solution.

4 0

3 years ago

Find the area of a triangle with a =33, b =51, and c =42.

PolarNik [594]

Answer:

d. 690.1 units²

Step-by-step explanation:

1. You can use the Heron's formula to calculate the area of the triangle, which is:

$K=\sqrt{s(s-a)(s-b)(s-c)}$

Where:

$s=\frac{a+b+c}{2}$

2. Calculate $s$ :

$s=\frac{33+51+42}{2}\\s=63$

3. Substitute values into the formula shown above and calculate the area, as following:

$K=\sqrt{63(63-33)(63-51)(63-42)}\\K=690.1units^{2}$

4. Therefore, the area is 690.1 units².

4 0

3 years ago