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2 years ago

Factorise by grouping: x² - 5x + 2x - 10

Mathematics

1 answer:

Natalka [10]2 years ago

6 0

Answer:

$\boxed {\boxed {\sf (x+2)(x-5)}}$

Step-by-step explanation:

To factor by grouping, first divide the polynomial into 2 groups with parentheses.

$x^2-5x+2x-10$

$(x^2-5x)+ (2x-10)$

Factor the greatest common factor (GCF) out of both binomials.

For the first binomial, the GCF is x.

$x(x-5) +(2x-10)$

For the second binomial, the GCF is 2.

$x(x-5)+2(x-5)$

Factor out the common binomial which is (x-5).

$(x+2)(x-5)$

The factorized form of x²-5x+2x-10 is (x+2)(x-5)

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zepelin [54]

Answer:

Step-by-step explanation:

since $\sqrt{50}>\sqrt{49}=7$

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3 years ago

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olasank [31]

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3 years ago

Brian tied a 136-foot rope around the perimeter of his rectangular house. He knows that the length of the house is 10 feet less

STALIN [3.7K]

Answer:

length 42 cm and width 26 cm

Step-by-step explanation:

Given

Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.

Given that shape of house is rectangular.

formula to calculate perimeter of rectangle can be used which is 2*(L+B)

where L is length of rectangle and B width of rectangle

Let the L and B be length of rectangular side of house

According to question

length of house is 10 feet less than twice the width of house

mathematically it can be represented as

L = 2*B - 10 --->eq. 1

Perimeter of house = 136 feet

using formula of Perimeter of rectangle

136 = 2*(L+B)

substituting the value of length in terms of width from eq. 1 in formula of perimeter

=> 136/2 = 2*B - 10 + B (2*B+ B = 3B)

=> 68 = 3*B - 10

=> 78 = 3*B

B = 78/3 = 26

Therefore B which is width = 26 CM

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Hence dimension of Brian's house is length 42 cm and width 26 cm

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3 years ago

What is the difference in the size between 1/4 and 1 1/2

masya89 [10]

1 1/2 can be rewritten as 3/2
Difference means subtraction

So we do:
3/2-1/4
To get the same denominator, we can multiply the first fraction by 2
6/4-1/4

Then we subtract the numerators and leave the denominator
So the final answer is 5/4 of 1 1/4

Hope this helps

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3 years ago

Complete the point-slope equation of the line through (2,3) and (7,4) <br> y-4=

Anna71 [15]

Answer:

y - 4 = $\frac{1}{5}$ (x - 7)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (7, 4)

m = $\frac{4-3}{7-2}$ = $\frac{1}{5}$

Use either of the 2 points for (a, b)

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4 0

2 years ago