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3 years ago

Factor.

Mathematics

1 answer:

slava [35]3 years ago

5 0

Answer:

The answer is option C

Step-by-step explanation:

x² - 7x + 10

To factor the expression rewrite - 7x as a difference

That's

x² - 5x - 2x + 10

Factor out x from the expression

x( x - 5) - 2x + 10

Factor - 2 from the expression

x(x - 5) - 2( x - 5)

Factor out x - 5 from the expression

The final answer is

Hope this helps you

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Share £20 in the ratio 2:3

enyata [817]

Answer:

£8 : £12

Step-by-step explanation:

2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12

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2 years ago

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3 years ago

A tank of water is losing 5 liters of water every minute. In 12 minutes, there are 90 liters remaining in the tank. How many min

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Answer

A. 18 Minutes

Step-by-step explanation:

5 liters of water per minute x 12 minutes = 60

60 + 90 = 150

150/5=30

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3 years ago

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Step-by-step explanation:

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3 years ago

Wright in point-slope form, slope-intercept form and in standard form an equation that passes through (-1, 2) with slope 4

SOVA2 [1]

Answer:

$\textsf{Point-slope form}: \quad \sf y-2=4(x+1)$

$\textsf{Slope-intercept form}: \quad \sf y=4x+6$

$\textsf{Standard form}: \quad \sf 4x-y=-6$

Step-by-step explanation:

Given information:

Slope = 4
Point on line = (-1, 2)

Point-slope form of linear equation:

$\sf y-y_1=m(x-x_1)$

(where m is the slope and (x₁, y₁) is a point on the line)

Substitute the given slope and point into the formula:

$\implies \sf y-2=4(x-(-1))$

$\implies \sf y-2=4(x+1)$

Slope-intercept form of a linear equation:

$\sf y=mx+b$

(where m is the slope and b is the y-intercept)

Substitute the given slope and point into the formula and solve for b:

$\implies \sf 2=4(-1)+b$

$\implies \sf b=6$

Therefore:

$\sf y=4x+6$

Standard form of a linear equation:

$\sf Ax+By=C$

(where A, B and C are constants and A must be positive)

Rearrange the found slope-intercept form of the equation into standard form:

$\implies \sf y=4x+6$

$\implies \sf 4x-y+6=0$

$\implies \sf 4x-y=-6$

Learn more about linear equations here:

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2 years ago

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