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2 years ago

Angelica calculated the distance between the two points shown on the graph below. (1st picture)

Mathematics

2 answers:

Alex Ar [27]2 years ago

7 0

Use the distance formula to find the value of the side lengths.
d=√((x1-x2)²+(y1-y2)²

d of side AC is 6

d of side CB is 10

Angela's use of the Pythagorean Theorem of 10²+6²+c² is incorrect; she put the right values in the wrong spots, the formula needed is:
6²+10²=c²

Option C- Angelica's side lengths were too long.

scoray [572]2 years ago

6 0

Answer:

(D) last option: Angelica made an error substituting the values into the Pythagorean theorem. The equation should be.

Step-by-step explanation:

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Claire Judice

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Answer:

The values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

Step-by-step explanation:

Given:

The equation to solve is given as:

$5x^5+6x^4+80x^3+96x^2=0$

Factoring $x^2$ from all the terms, we get:

$x^2(5x^3+6x^2+80x+96)=0$

Now, rearranging the terms, we get:

$x^2(5x^3+80x+6x^2+96)=0$

Now, factoring $5x$ from the first two terms and 6 from the last two terms, we get:

$x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0$

Now, equating each factor to 0 and solving for 'x', we get:

$x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i$

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.

Therefore, the values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

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3 years ago

Solve the following systems of 3-variable linear equations.

Dima020 [189]

Answer:

Step-by-step explanation:

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3 years ago

What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2

vampirchik [111]

Answer: y=-1/2x-4

Step-by-step explanation:

If you use point slope formula you get

y+2=-1/2(x+4)

simplify that in y=mx+b and you get

y=-1/2x-4

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3 years ago

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Nata [24]

Firstly, subtract a^2 on both sides: $b^2=c^2-a^2$

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Lastly, square root both sides of the equation, and <u>your answer will be $b=\sqrt{(c+a)(c-a)}$ </u>

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2 years ago

2(4y - 5) < - 2 please help

34kurt

Answer:

y < 1

Step-by-step explanation:

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2 years ago

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