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Aliun [14]
3 years ago
9

4x−2y=14 y=12x−1 solve by substitution

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

x= -3/5

Step-by-step explanation:

4x-2y=14

y=12x-1

4x-2(12x-1)=14

4x-24x+2=14

4x-24x=12

-20x=12

×= -12/20

x= -3/5

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The area of a trapezium is 31.5 cm². If the parallel sides are of length 7.5 cm and 5.3 cm, calculate the perpendicular distance
spin [16.1K]

Answer:

<h3>The answer is 4.9cm</h3>

Step-by-step explanation:

To find the perpendicular distance between them that's the height we use the formula

Area \:  \: of \:  \: a \:  \: trapezium =  \frac{1}{2} (a + b) \times h

where

a and b are the parallel sides of the trapezium

h is the perpendicular distance

From the question

Area = 31.5cm²

a = 7.5 cm

b = 5.3 cm

Substituting the values into the above formula we have

31 .5 =  \frac{1}{2} (7.5 + 5.3) \times h

31.5 =  \frac{1}{2}  \times 12.8h

31.5 = 6.4h

Divide both sides by 6.4

h =  \frac{31.5}{6.4}

h = 4.921875

We have the final answer

<h3>h = 4.9cm</h3>

Hope this helps you

4 0
3 years ago
Need help with these 3
Tamiku [17]

Answer:

1.) x = 110

\frac{3}{22} =\frac{15}{x}

So for 3 to become 15 it would have to be multiplied by 5 because 3 x 5 = 15. And if I multiply the numerator by anything I always have to do the same to the denominator. So I multiply 22 x 5 = x. x = 110

\frac{3 * 5}{22*5} =\frac{15}{110}

2.) x = 72

\frac{x}{16} =\frac{9}{2}

For 16 to become 2 it has to be divided by 8 because 16 ÷ 8 = 2. And I have to do the same to the numerator of course, so i have to find x ÷ 8 = 9. I know the answer by memory, but for some it's easier to rewrite this as 9 × 8 = x. x=72

\frac{72}{16} =\frac{9}{2}

3.) c = 24

\frac{3}{5} =\frac{c}{40}

For 5 to become 40 it must be multiplied by 8 because 5 × 8 = 40. I have to multiply 8 by the numerator as well and 3 × 8 = 24. c = 24

\frac{3*8}{5*8} =\frac{24}{40}

5 0
3 years ago
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kozerog [31]

y = mx + b

m = Slope

b = y-intercept

y = 8x - 2

m = 8

b = -2

y = 1/4x + 6

m = 1/4

b = 6

5 0
3 years ago
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aalyn [17]
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4 years ago
Mr. Johnson's lunch bill is $29.90, which includes a 15% tip. What is the price before the tip?
mr_godi [17]

Answer: it’s 26

Step-by-step explanation:

29.90 divided by 1.15= 26

8 0
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