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2 years ago

Can somoene help me with this question please

Mathematics

1 answer:

Alex2 years ago

7 0

Answer:

About 260 seconds

Step-by-step explanation:

Tha rate is:

A: 8L/1.66666m

b: 10L/1m (converted to litres)

Divide 2400 by those rates above which:

2400 / (8/1.66666) = 500

2400 / (10/1) = 240

500 - 240 = 260

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

How do you find the legs of a right triangle when only given the hypotenuse?

tangare [24]

Answer:

We know that a^2+b^2=c^2. The 45° angle lets us know that y=x (45+45+90=180), so the problem is y^2+x^2=4sqrt of 2

$4 \sqrt{2} = \sqrt{32 } \\ \sqrt{32} ^{2} = 32$

So you get y^2+x^2=32, and from there, since we know x and y are equal, you can just divide 32 by 2 then take the square root of that, so the answer should be 4 for both x and y

Step-by-step explanation:

let me know if I'm wrong lol

6 0

2 years ago

The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at

NeTakaya

Answer:

9°

Step-by-step explanation:

-6 + 15 = 9

7 0

3 years ago

⚠️⚠️Please help⚠️⚠️ Pip and Ali share S785 in the ratio Pip:Ali = 4:1. Work out Pip's share.

oksano4ka [1.4K]

<h3>Answer: $628 </h3>

==========================================================

Work Shown:

x = Ali's share

4x = Pip's share, because it is four times bigger due to the ratio 4:1

x+4x = 5x = total amount of money = 785

5x = 785

x = 785/5

x = 157 dollars is Ali's share

4x = 4*157 = 628 dollars is Pip's share

Note that 157+628 = 785 to help confirm the answer.

7 0

3 years ago

I won $60,000 I invested part in a CD at 2% interest the rest at 3%interest in a cd at the end of the year I earned $1600 in int

zaharov [31]

Let x = amount invested in 2% CD and y = amount invested in 3% CD
x + y = 60000
0.02x + 0.03y = 1600
SOLVE THE 1st EQUATION FOR x AND SUBSTITUTE RESULT IN 2nd
0.02(60000 - y) + 0.03y = 1600
1200 - 0.02y + 0.03y = 1600
0.03y = 400
y = 13333.34
x = 46666.66

5 0

3 years ago

Read 2 more answers