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3 years ago

Write an equation in standard form if the line that passes through (7,-3) and had a slope if 4

Mathematics

1 answer:

zvonat [6]3 years ago

8 0

bearing 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

$\bf (\stackrel{x_1}{7}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{4}(x-\stackrel{x_1}{7})\implies y+3=4x-28 \\\\\\ y=4x-31\implies -4x+y=-31\implies 4x-y=31$

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The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second.

pickupchik [31]

Answer: first option.

Step-by-step explanation:

The ratio of the area of the triangles can be calculated as following:

$ratio_{(area)}=(\frac{l_1}{l_2})^2$

Where $l_1$ is the lenght of the given side of the smaller triangle and $l_2$ is the lenght of the given side of the larger triangle.

Therefore:

$ratio_{(area)}=(\frac{28}{32})^2=\frac{49}{64}$

It can be written as following:

$ratio_{(area)}=49:64$

The ratio of the perimeter is:

$ratio_{(perimeter)}=\frac{l_1}{l_2}$

Where $l_1$ is the lenght of the given side of the smaller triangle and $l_2$ is the lenght of the given side of the larger triangle.

Therefore:

$ratio_{(perimeter)}=\frac{28}{32}=\frac{7}{8}$

It can be written as following:

$ratio_{(perimeter)}=7:8$

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3 years ago

What is the picture equal to? Help please

amm1812

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2 years ago

Ann is grouping 38 rocks.she can put them into groups of 10 rocks or as single rocks .what are the different ways Ann can group

photoshop1234 [79]

Answer:

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Step-by-step explanation:

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2 years ago

A plane flying horizontally at an altitude of 4 mi and a speed of 465 mi/h passes directly over a radar station. Find the rate a

bulgar [2K]

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3 years ago

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hichkok12 [17]

Answer:

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Step-by-step explanation:

Your equation will be -16t^2+vt +h where v is the initial velocity and h is the starting height. Now either factor or quadratic equation, whichever is easier for you.

Remember that the ball is on the ground when h(t)=0 since that is the height. There will be two zeros, one is a negative number so would be before you kicked the ball, the other one will be when the ball comes back down.

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2 years ago

Write an equation in standard form if the line that passes through (7,-3) and had a slope if 4​

Write an equation in standard form if the line that passes through (7,-3) and had a slope if 4