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saveliy_v [14]
3 years ago
11

Help mee I NEED THIS ASAP

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

a ) length of,

EF = 5 + 2 = 7

DF = 6 + 2 = 8

ED = 5 + 1 = 6

b) slope of line,

EF = 1

DF = ¼ Or 0.25

ED = 4

c ) the required triangle is an Isosceles triangle as all the sides of triangle are unequal.

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3 years ago
Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
galina1969 [7]

Answer:

All potential roots are 3,3 and -\frac{5}{3}.

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

f(x)=3x^3-13x^2-3x+45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45

q=\pm 1,\pm 3

All possible roots

\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}

Now we check each rational root and see which are possible roots for given function.

f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0

f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32

f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144

f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}

Similarly, we will check for all value of p/q and we get

f(-5/3)=0

Thus, All potential roots are 3,3 and -\frac{5}{3}.


5 0
3 years ago
Read 2 more answers
Pllsssss help <br> Explanation plsss
aleksklad [387]

Answer:

x = 17

Step-by-step explanation:

8x - 9 + 53 = 180 (collect like terms)

8x + 44 = 180 (subtract 44 on both sides)

8x = 136 (divide by 8 on each side)

x = 17

HOpe this helps!!

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\frac{1}{10}+\frac{3}{10}=\frac{4}{10}=\boxed{\frac{2}{5}}

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200\left(\frac{2}{5} \right)=\boxed{80}

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