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Alenkasestr [34]
3 years ago
8

Help with number two

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0

Answer:

y = -2x+1

Step-by-step explanation:

We have a point and a slope, so we can use the point slope form of a line

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is the point

y-3 = -2(x--1)

y-3=-2(x+1)

Distribute the 2

y-3 = -2x-2

Add 3 to each side

y-3+3 = -2x-2+3

y = -2x+1

This is in slope intercept form

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Joe earns $4,100 per month and pays $870 each month in rent. Approximately what percent of his money is spent on rent?
Scorpion4ik [409]

if we take 4100 to be the 100%, what is 870 off of it in percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 4100&100\\ 870&x \end{array}\implies \cfrac{4100}{870}=\cfrac{100}{x} \\\\\\ 4100x=87000\implies x=\cfrac{87000}{4100}\implies x=\cfrac{870}{41}\implies x\approx 21.22

8 0
3 years ago
Simplify: 11y-110/50-5y
alexandr1967 [171]
<h2>Answer:</h2>\frac{11y-110}{50-5y}=-\frac{11}{5}

<h2>Explanations:</h2>

Given the following expression show below;

\frac{11y-110}{50-5y}

Factor out the GCF from both the numerator and denominator

\frac{11(y-10)}{5(10-y)}

This can also be expressed as;

\begin{gathered} \frac{11(-10+y)}{5(10-y)} \\ \frac{-11(10-y)}{5(10-y)} \end{gathered}

Cancel out the common expression

\frac{-11\cancel{(10-y)}}{5\cancel{(10-y)}}=-\frac{11}{5}

Hence the simplified form of the expression is -11/5

7 0
1 year ago
Sophia and Olivia shared 60p so that Olivia had 10p more than Sophia. How much did Sophia have?
Taya2010 [7]

Answer:

25

Step-by-step explanation:

If Olivia had 10 more p than Sophia, then Olivia has 35, and Sophia has 25.

35 + 25 = 60!

3 0
3 years ago
The diagram shows a 5 cm x 5 cm x 5 cm cube.
mylen [45]

Answer:

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

\sqrt{a^2+b^2}

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths a_1, a_2, a_3, \ldots, a_n is

\sqrt{a_1^2 + a_2^2 + a_3^2 + \ldots + a_n^2}

So the solution here is

\sqrt{(5cm)^2 + (5cm)^2 + (5cm)^2} = \sqrt{75cm^2} = 5\sqrt{3cm^2} \approx 5\cdot 1.732cm = 8.66cm

5 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 215 feet. The short sides are each 24 feet long, but the lengths of the long sides are unknown.
Nataly_w [17]

Answer:

2 ( 24 ) + 2 a = 215

Step-by-step explanation:

Perimeter of the rectangle is 215 feet, the short sides are 24 feet long and we need to work out the long sides (we will call a long side 'a') so,

24 + 24 + a + a = 215

6 0
3 years ago
Read 2 more answers
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