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2 years ago

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Mathematics

1 answer:

disa [49]2 years ago

8 0

Answer:

x=10

Step-by-step explanation:

The lines the angles are on are 180 degrees so

(11x+23) + (7x-23)= 180

Let's rearrange them first

11x+7x + 23-23=180

Combine the like terms

18x + 0=180

Remove the 0

18x=180

Then divide 18 on each side

x=10

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Solve 5x^2 - 7x + 2 = 0 by completing the square.

Reika [66]

Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

$5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

$5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.$

So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$

Thus, the required solution is $x=1,~-\dfrac{2}{5}.$ and the value of the constant added is $\dfrac{49}{100}.$

Option (c) is correct.

3 0

2 years ago

I need help on question 9 please!! Thank you!

jekas [21]

Answer:

Step-by-step explanation:

33000/0.27 =$8910

7 0

2 years ago

Which expression is equivalent to (2^3)^-6?

Kay [80]

Answer:

2^-18

Step-by-step explanation:

3 0

1 year ago

Can i have help on this pls can you classify 17.3 in as many groups as possible

PIT_PIT [208]

It can go into the group integers, as well as rational numbers.

Hope this helps you! Happy thanksgiving, here's a turkey!

8 0

3 years ago

H. C. F of 20,40 and 50

Vesnalui [34]

Answer:

Step-by-step explanation:

HCF of 20, 40 & 50:

20: 1, 2, 4, 5, 10, 20

40: 1, 2, 4, 5, 8, 10, 20, 40

50: 1, 2, 5, 10, 25, 50

HCF: 10

Topic: HCF and LCM

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

8 0

2 years ago