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Irina18 [472]
3 years ago
5

Which equation of the line written in standard form has has a slope of 6 and contains the points (-1,-3)

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

keeping in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})~\hspace{10em} slope = m\implies 6 \\\\\\ \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-(-3)=6[x-(-1)]\implies y+3=6(x+1) \\\\\\ y+3=6x+6\implies y=6x+3\implies -6x+y=3\implies 6x-y=-3

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The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
noname [10]

Answer:

12

Step-by-step explanation:

To determine the number of discs, divide the area of the metal sheet by the area of the discs

The metal sheets are in the shape of a rectangle, thus the area of a rectangle would be used to determine the area of the sheet

Area of a rectangle = length x breadth

56 x 33 = 1848 cm^2

The disc is in the shape of a circle.

area of a circle = πr²

π = 3.14

r = radius

3.14 x 7² = 153.86 cm²

Number of discs = 1848 /153.86 = 12

3 0
3 years ago
~30 PTS, BRAINLIEST, AND 5 STARS TO BEST ANSWER!~
hjlf

For both problems, we can use the section formula.

1) P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}

2) Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}

3 0
2 years ago
Question 20
Anettt [7]

Answer:

Two-times the x-value and two-times the opposite y-value.

7 0
3 years ago
The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li
dybincka [34]

Answer:

You are correct. The answer is y=7x+13

Step-by-step explanation:

First, we need to plug in our x value to the derviative's equation to find the slope of the line tangent to the graph, f

f'(x)=-3x+4\\\\f'(-1)=-3(-1)+4\\\\f'(-1)=3+4\\\\f'(-1)=7

Now that we have found the slope and have a given point: (-1,6) we can use the point slope formula to find the equation of the line tangent to the graph f.

y-6=7(x+1)\\\\y-6=7x+7\\\\y=7x+13

3 0
3 years ago
3<br> 8 x 10<br> is how many times as great as 4 x<br> 100
Mekhanik [1.2K]

Answer: 4 times greater

Step-by-step explanation: so f 8x 10=80  and 4x100=400   then if you multiply 80  by 4 times your answer will be 4

8 0
3 years ago
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