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2 years ago

An Isosceles Triunde

Mathematics

2 answers:

Amanda [17]2 years ago

4 0

Answer:

base = $x^4 - 3x^3+11x-4$

Step-by-step explanation:

An isosceles triangle has 2 sides of equal length (a) and base (b)

⇒ perimeter of an isosceles = 2a + b

Given:

$\textsf{leg (a)}=3x^4 - 6x-1$

$\textsf{perimeter}=7x^4 - 3x^3-x-6$

$\implies \textsf{perimeter}=2a+b$

$\implies 7x^4 - 3x^3-x-6=2(3x^4 - 6x-1)+b$

$\implies 7x^4 - 3x^3-x-6=6x^4 - 12x-2+b$

$\implies x^4 - 3x^3+11x-4=b$

Therefore, base = $x^4 - 3x^3+11x-4$

Mashcka [7]2 years ago

3 0

Answer:

Perimeter=sum of sides

Let base be y

$\\ \tt\longmapsto 3x^4-6x-1+3x^4-6x-1+y=7x^4-3x^3-x-6$

$\\ \tt\longmapsto 6x^4-12x-2+y=7x^4-3x^3-x-6$

$\\ \tt\longmapsto y=x^4-3x^3+11x-4$

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Which shows all the like terms in the expression?

GenaCL600 [577]

4x-3+7x+1

Ones with a variable: 4 & 7
Only whole number: -3 & 1

The answer is option two: -3 and 1; 4x and 7x

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3 years ago

Read 2 more answers

Stephen & Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife &a

horsena [70]

Answer:

Stephen's wife got £354 more than his son.

Step-by-step explanation:

Given:

Amount of Lottery = £2950

Now Given:

Stephen & Richard share a lottery amount in the ratio 2 : 3

Let the common factor between them be 'x'.

So we can say that;

$2x+3x=2950\\\\5x = 2950$

Dividing both side by 5 we get;

$\frac{5x}{5}=\frac{2950}{5}\\\\x = 590$

So we can say that;

Stephen share would be = $2x =2\times 590 = \£1180$

Now Given:

Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.

Let the common factor between them be 'y'.

So we can say that;

$3y+5y+2y=1180\\\\10y=1180$

Dividing both side by 10 we get;

$\frac{10y}{10}=\frac{1180}{10}\\\\y=118$

So Stephen's wife share = $5y = 5\times 118= \£590$

And Stephen's son share = $2y=2\times118 =\£236$

Now we need to find how much more her wife got then her son.

To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.

framing in equation form we get;

Amount more her wife got than her son = $590-236 = \£354$

Hence Stephen's wife got £354 more than his son.

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3 years ago

The scatter plot shows the number of hats and scarves each knitter sold at a knitting show.

SOVA2 [1]

I believe your answer should be 5!

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3 years ago

Read 2 more answers

Solve the rational function of (check image) and check for extraneous solutions

Oxana [17]

Answer:

Option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

Step-by-step explanation:

Given the expression

$\frac{5}{x}=\frac{4x+1}{x^2}$

Solving the rational function

$\frac{5}{x}=\frac{4x+1}{x^2}$

Apply fraction across multiply: if $\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$5x^2=x\left(4x+1\right)$

Subtract x(4x+1) from both sides

$5x^2-x\left(4x+1\right)=x\left(4x+1\right)-x\left(4x+1\right)$

Simplify

$5x^2-x\left(4x+1\right)=0$

5x² - 4x² - x = 0

x² - x = 0

Factor x² - x = x(x-1)

x(x-1) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$x=0\quad \mathrm{or}\quad \:x-1=0$

Thus, the solution to the equation is:

$x=0,\:x=1$

But, it is clear that if we substitute x = 0, the equation becomes undefined because we can not have the denominator to be 0.

In other words, the equation is undefined for x = 0

Thus, x = 0 is an extraneous solutions.

Therefore, option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

5 0

3 years ago

Please help ASAP! 10 points + BRAINLIEST!

worty [1.4K]

Hello good person. The answer is C, (4,7). If you replace the x's in both equations (4) and the y's i both equations (7) you would get your answer for both.

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3 years ago