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2 years ago

Complete the equation of the line through (−10,3) and (-8,-8)

Mathematics

2 answers:

yawa3891 [41]2 years ago

8 0

Answer: y = (-11/2)x -52

Aka y=mx*b

Step-by-step explanation:

Veronika [31]2 years ago

5 0

$(\stackrel{x_1}{-10}~,~\stackrel{y_1}{3})\qquad(\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-8}-\stackrel{y1}{3}}}{\underset{run}{\underset{x_2}{-8}-\underset{x_1}{(-10)}}}\implies \cfrac{-11}{-8+10}\implies \cfrac{-11}{2}$

$\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{11}{2}}[x-\stackrel{x_1}{(-10)}]\\\\\\ y-3=-\cfrac{11}{2}(x+10)\implies y-3=-\cfrac{11}{2}x-55\implies y = -\cfrac{11}{2}x-52$

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Rational number 7/3 has terminating decimal

vfiekz [6]

Answer:

2.33

Step-by-step explanation:

Plug "7/3" in your calculator and round to the nearest hundredth (by finding the hundredth's place, looking at the digit before it, and moving the hundredth's place up one value if you deciphering that the digit before is greater/equal to 5). If you need a terminating decimal, you need to round. If you don't need it as a terminating decimal, add a ling over the last digit where the decimal begins to repeat.

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3 years ago

Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.

Verizon [17]

We are given a function f ( x ) defined as follows:

$y=f(x)=x^{\frac{1}{9}}$

We are to determine the value of f ( x ) when,

$\times\text{ = }\frac{1}{2}$

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

$y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}$

We will apply the power on both numerator and denominator as follows:

$f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}$

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

$f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}$

Next apply the division operation as follows:

$f\text{ ( }\frac{1}{2})\text{ = }0.92587$

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be:

$\textcolor{#FF7968}{f}\text{\textcolor{#FF7968}{ ( }}\textcolor{#FF7968}{\frac{1}{2})}\text{\textcolor{#FF7968}{ = 0.926}}$

6 0

1 year ago

Consider the equation: x^2-51=14x Rewrite the equation by completing the square and what the solution to the equation.

Mariana [72]

Answer:

x = -3 and x = 17

Step-by-step explanation:

x² - 51 = 14x

x² - 14x - 51 = 0

(x + 3)(x - 17) = 0

x = -3 and x = 17

4 0

3 years ago

Read 2 more answers

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o

Talja [164]

Percent change is 100%

Step-by-step explanation:

Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft

Perimeter = 2 (length + width)

= 2 (6 + 4) = 2 × 10 = 20 ft

Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)

Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft

Step 3: Find the percent change in perimeter

Percent Change = Final value - initial value/Initial Value × 100

= (40 - 20/20) × 100

= 1 × 100 = 100%

5 0

3 years ago

Find the value of x by filling in the blanks in the provided statement- reason solution

fgiga [73]

Answer/Step-by-step explanation:

Given:

m<MNQ = 132°

m<Q = 54°

m<P = 3x

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle

Plug in the values

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

132 - 54 = 3x (substraction property of equality)

78 = 3x

78/3 = x (division property of equality)

26 = x

x = 26

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3 years ago