Estimate the quotient 63.5 dividend by 5

Mathematics

1 answer:

Contact [7]3 years ago

3 0

The estimate is twelve because five goes into sixty roughly twelve times.

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Anettt [7]

This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****

c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.

8 0

3 years ago

What is the value of X A 61 B 37 C 85 D 123

iragen [17]

vertical angles are equal

2x + 24 = 146

2x = 122

x = 61

Answer

A. 61

4 0

3 years ago

Which expression is equivalent to

True [87]

Answer:

$2^{\frac{5}{12}}$

Step-by-step explanation:

The original expression $\sqrt{2^5} ^{\frac{1}{4}}$ can be transformed into $(2^{\frac{5}{3}})^{\frac{1}{4}}$ : both expressions are equivalent, the root of certain number is equivalent to that number power at a fraction whose denominator is the index of the root. The simpliest example for this statement is $\sqrt{x} =x^{\frac{1}{2}}$ (the squared root of x equals x raised at 1/2).
Now, the expression $(2^{\frac{5}{3}})^{\frac{1}{4}}$ can be simplified by using the power of a power property, which simply states that if $b\neq 0$ and $((b)^n)^m=b^{n\times{m}}$ . In this case, then $(2^{\frac{5}{3}})^{\frac{1}{4}}=2^{\frac{5}{3}\times{\frac{1}{4}}}=2^{\frac{5}{12}}$ , which is the final expression.