What is the relationship between angles ECF and ECD

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

4 0

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When asked to factor the x^2-121 a student gives the answer (x-11)(x-11) what is wron with this answer?

Art [367]

Given expression is x² - 121

This is called Difference of Squared terms, we have a formula that is given as :-

a² - b² = (a - b) · (a + b)

Now using the above formula in the given expression, we get :-

x² - 121

x² - (11)²

here a = x and b = 11

x² - (11)² = (x - 11) · (x + 11)

but it says that student gave the answer as (x - 11) · (x - 11).

So, student's answer should be (x - 11) · (x + 11) instead of product of two (x - 11) terms.

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3 years ago

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Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. after 3 hours, only 40 mg remain. find an exponential m

Anastaziya [24]

The equation will be of the form:
$A(t)= A_{0} e^{rt}$
where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:
$40=320e^{3r}$
Rearranging and taking natural logs of both sides, we get:
$ln\ 0.125=3r$
$r=\frac{ln\ 0.125}{3}=-0.693$
The required model is:
$A=A _{0} e^{-0.693t}$

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3 years ago

borrow $5 from her father to buy items at a gas station Rose also borrowed $11 more from her brother Rose pays back $3.50 to her

Maru [420]

You would use the # line to add and subtract from Rose's total. The remaining amount that Rose still owes is $3.

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3 years ago

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Evaluate the polynomial function p (x) = 2x4 - 3x2 + x - 1 to find p (-1).

Alisiya [41]

$p(x)=2x^4-3x^2+x-1\\\\
Substitude\ p=-1\ into\ equation\\\\
p(-1)=2x^4-3x^2+x-1=2*(-1)^4-3(-1)^2-1-1=\\2*1-3*1-2=2-3-2=-3\\Answer\ p(-1)=-3$

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3 years ago

Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

lys-0071 [83]

f(x) = x² - 8x + 3
y = x² - 8x + 3
- 3 - 3
y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
y + 13 = x² - 8x + 16
y + 13 = (x - 4)²
- 13 - 13
y = (x - 4)² - 13
f(x) = (x - 4)² - 13

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3 years ago