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3 years ago

Solve the quadratic function Y=x^2 -13x + 4 by factoring

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

So we need to solve: x² -13x + 4 by factoring.

Well... You can't do that by factoring. The only way to factor this, is to do the criss cross factoring method and we can't do that in this case. So we have to use the quadratic formula to solve this.

But you asked to solve x² -13x + 4 only by factoring.

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Find the HCF of ax3y and bx4y3

kipiarov [429]

Step-by-step explanation:

First expression ...

$= {ax}^{3} y$

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Second expression.....

$= b {x}^{4} {y}^{3}$

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$= x \times x \times x \times y$

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3 years ago

You have towels of 3 sizes. The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second. The leng

Charra [1.4K]

$\frac{3}{2}$ part of length of the third towel is the length of the second towel

Solution:

Given that You have towels of 3 sizes

Length of the first towel = $\frac{3}{4}$ meter

The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.

Length of the first towel = $\frac{3}{5} \times \text{ length of second towel }$

$\frac{3}{4} = \frac{3}{5} \times \text{ length of second towel }\\\\\text{length of second towel }= \frac{5}{4}$

The length of the third towel makes up 5/12 of the lengths of the first 2.

$\text{ length of the third towel }= \frac{5}{12} \times (\text{ length of first towel + length of second towel)}$

$\text{ length of the third towel }= \frac{5}{12} \times (\frac{3}{4} + \frac{5}{4}) = \frac{5}{12} \times 2 = \frac{5}{6}$

To find: What part of the length of the third towel is the length of the second towel ?

Ratio of second to third towel length = $\frac{\frac{5}{4}}{\frac{5}{6}}=\frac{5}{4} \times \frac{6}{5}=\frac{3}{2}$

Thus 3/2 part of length of the third towel is the length of the second towel

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3 years ago

Prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1

Ad libitum [116K]

Step-by-step explanation:

sin(x−y) / (cos x sin y)

Use angle sum/difference formula:

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Divide:

(sin x cos y) / (cos x sin y) − 1

Rearrange:

(sin x / cos x) (cos y / sin y) − 1

Simplify:

tan x cot y − 1

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3 years ago