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3 years ago

Select twvo ratios that are equivalent to 2: 12

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer:

1:6 and 8:48

Step-by-step explanation:

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A line passes through the points (-1,-1) and (5,8) which points lie on the same line?

djverab [1.8K]

Answer: all points $(x,y)$ that satisfy $y=\frac{3}{2}x+\frac{1}{2}$

Step-by-step explanation:

The slope of the line is

$\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}$

So, substituting into point-slope form, the equation is

$y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}$

Therefore, all points $(x,y)$ that satisfy $y=\frac{3}{2}x+\frac{1}{2}$ will lie on the same line.

7 0

2 years ago

(04.04 MC) Given the directrix of y = −1 and focus of (0, 3), which is the equation of the parabola?

densk [106]

Answer:

its c, y = one eighthx2 + 1

Step-by-step explanation:

3 0

4 years ago

The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4

scoray [572]

Answer:

The multiplicative rate of change of the function is $\dfrac{2}{3}$

Step-by-step explanation:

You are given the table

$\begin{array}{cc}x&y\\ \\1&6\\2&4\\ \\3&\dfrac{8}{3}\\ \\4&\dfrac{16}{9}\end{array}$

An exponential function can be written as

$y=a\cdot b^x,$

where b is the multiplicative rate of change of the function.

Find a and b. Substitute first two corresponding values of x and y into the function expression:

$6=a\cdot b^1\\ \\4=a\cdot b^2$

Divide the second equality by the first equality:

$\dfrac{4}{6}=\dfrac{a\cdot b^2}{a\cdot b^1}\Rightarrow b=\dfrac{2}{3}$

Substitute it into the first equality:

$6=a\cdot \dfrac{2}{3}\Rightarrow a=\dfrac{6\cdot 3}{2}=9$

So, the function expression is

$y=9\cdot \left(\dfrac{2}{3}\right)^x$

Check whether remaining two values of x and y suit this expression:

$9\cdot \left(\dfrac{2}{3}\right)^3=9\cdot \dfrac{8}{27}=\dfrac{8}{3}\\ \\9\cdot \left(\dfrac{2}{3}\right)^4=9\cdot \dfrac{16}{81}=\dfrac{16}{9}$

So, the multiplicative rate of change of the function is $\dfrac{2}{3}$

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rusak2 [61]

The length of EH would be 4.8

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