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2 years ago

Write two decimals that are equivalent to 0.9

Mathematics

2 answers:

Maurinko [17]2 years ago

6 0

0.90 and I think .9 is another I'm not sure but I tried

kicyunya [14]2 years ago

3 0

.90 and .900 work. If u add zeroes to the right of a number it's the same number.

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Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)

Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form $ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0

1 year ago

Solve for x. round to nearest hundredth. PLS HELPP. will award brainliest

DENIUS [597]

Answer:

$18.03$

Step-by-step explanation:

<u>Formula:</u> $a^{2}+b^{2}=c^{2}$

$15^{2}+10^{2}=x^{2}$

$225+100=x^{2}$

$x^{2}=325$

$x = 5\sqrt{13}=18.03$

6 0

2 years ago

If the radius is 13 what is the circumference?

shepuryov [24]

Answer:81.64

Step-by-step explanation:13x2=26 26x3.14=81.64

8 0

2 years ago

Work out area of a triangle base 9cm height 4cm

insens350 [35]

Area = 1/2 x base x height

Area = 1/2 x 9 x 4

Area = 9 x 2

Area = 18 cm^2

6 0

3 years ago

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Sam has the lead role in the school play. He still has to memorize 1/2 of his lines. Suppose Sam memorizes 1/3 of his lines toda

DaniilM [7]

Answer: 1/6

Step-by-step explanation:

Since Sam has to memorize 1/2 of his lines and he memorizes 1/3 of his lines today, the fractions of his lines that he has left to memorize will be gotten by subtracting 1/3 from 1/2. This will be:

= 1/2 - 1/3

= 3/6 - 2/6

= 1/6

Therefore, he has 1/6 of his lines left to memorize.

4 0

2 years ago

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