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3 years ago

A line passes through points (0,k) and (2,0) and has a slope of -1.5.

Mathematics

1 answer:

Contact [7]3 years ago

4 0

Answer:

The equation of the line is y = -1.5x + 3

The y-intercept is (0,3)

The value of k is 3.

Step-by-step explanation:

y - 0 = -1.5 (x - 2)

y = -1.5x + 3

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13(10 + 2) could be used to simplify which of the following problems?

Veseljchak [2.6K]

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2 years ago

simplify the expression. write the answer using scientific notation. (9x10^7)(7x10^9) 1.6x10^17 1.6x10^64 6.3x10^64 6.3x10^17

Daniel [21]

$The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}\\----------------------------\\\\(9\cdot10^7)(7\cdot10^9)=(9\cdot7)(10^7\cdot10^9)=63\cdot10^{7+9}\\\\=63\cdot10^{16}=6.3\cdot10^{16+1}=6.3\cdot10^{17}$

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3 years ago

Read 2 more answers

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

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3 years ago

Solve for a if the line through the two given points has the given slope.(a,5) and (1,−5),m=−2

Luba_88 [7]

slope (m) = (y₂ - y₁)/(x₂ - x₁)

-2/1 = (a - 1)/(5 -(-5))

-2 = (a - 1)/10

-20 = a - 1

-19 = a

Answer: a = -19

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3 years ago

Find the shaded part of diagram show step

Zina [86]

Answer:

Step-by-step explanation:

So first find the are of the rectangle: 9 * 15 = 135

Next find the area of the trapezoid.

$\frac{8+10}{2} *6=54$

135 - 54 = 81

7 0

3 years ago