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3 years ago

What is the distance between (8, -3) and (4, -7)?

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

d=4√2

Step-by-step explanation:

distance formula = √(x2-x1)²+(y2-y1)²

d=√(4-8)²+(-7-(-3))²

d=√4²+(-4)²

d=√16+16 = √32=√2²*2²*2

d=4√2

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what is the equation of the line with slope -3 and y-intercept 6? Express your answer in slope-intercept form.

USPshnik [31]

Answer:

y=-3x+6

Step-by-step explanation:

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4 years ago

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How do you solve the quadratic equation (x-2)^=49

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Assuming you mean
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3 years ago

Explain how you know without computing whether the quotient of 1/2 divided by 6 is greater than or less than 1

Ganezh [65]

It is less than 1, because 1/2 is also .5, so that is already less than 1 whole.
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4 years ago

If a and b are the roots of 11x^2-4x-2=0 then compute the product: (1+a+a^2+...)(1+b+b^2+...)

lisov135 [29]

Answer:

11/5

Step-by-step explanation:

FirLet a and b be the roots of 11x^2-4x-2=0

Now $(1+a+a^2+\cdots)(1+b+b^2+\dcots)=\frac{1}{1-a}\cdot \frac{1}{1-b}\\=\frac{1}{(1-a)(1-b)}=\frac{1}{1-(a+b)+ab}$

Dividing the quadratic equation by 11 we have

$x^2-\frac{4}{11}x-\frac{2}{11}=0.$

Now the sum of the roots is the minus of the coefficient of x and the product of the roots is the constant. Therefore

$a+b = 4/11 \\ab = -2/11$

and we have

$\frac{1}{(1-a)(1-b)}=\frac{1}{1-\frac{4}{11}-\frac{2}{11}}\\=\frac{1}{(5/11)}=\frac{11}{5}$

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3 years ago

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Studentka2010 [4]

$\text{Hello there!}\\\\\text{We know that 25\% = 5 apples}\\\\\text{We need to multiply by 4 to get to 100\%}\\\\\text{This means we also have to multiply 5 by 4 in order to get the original}\\\text{amount of apples}\\\\5\cdot4=20\\\\\boxed{\text{Marian originally had 20 apples}}$

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3 years ago