Write an equation of the line that passes through (1, 2) and is parallel to the line y = -52 +4.

Mathematics

1 answer:

jekas [21]3 years ago

5 0

Answer:

gfgdf

Step-by-step explanation:

dfhdf

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Hi, can you please help me answer this direct proportion question?

Oksanka [162]

Answer:

X = 100

Step-by-step explanation:

In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.

Multiply the left by k, so $y = \frac{k}{\sqrt{x} }$
we know that y= 5, for x = 36, so sub this in the equation
$5 = \frac{k}{\sqrt{36} }$
simplify $5 = \frac{k}{6 }$
re-arrange for k, <u>k = 5*6 = 30</u>
now we know k, we can create the real equation, $y = \frac{30}{\sqrt{x} }$
sub in 3 as y
$3 = \frac{30}{\sqrt{x} }$
<u>x = 100</u>

4 0

2 years ago

Give the values of a, b, and c needed to write the equation's general form. 2/3(x - 4)(x + 5) = 1

ale4655 [162]

The first step is to write this equation into general form. The general form of an equation is:

ax^2 + bx + c = 0

To make this equation to general form, you have to simplify the equation first.

2/3(x-4) (x+5) = 1

2/3 (x^2 + 5x – 4x – 20) = 1

2/3(x^2 + x -20) = 1

2/3x^2 + 2/3x – 40/3 = 1

2/3x^2 + 2/3x – 40/3 – 1 = 0

2/3x^2 +2/3x – 43/3 = 0

Therefore, a = 2/3 ; b = 2/3 ; c = -43/3

4 0

3 years ago

Read 2 more answers

Find the value of x so that the line passing through the points will have the given slope: (x,6) and (10,-3) with a slope of -3/

Lana71 [14]

$(x,6) \\
x_1=x \\
y_1=6 \\ \\
(10,-3) \\
x_2=10 \\ y_2=-3 \\ \\
\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-6}{10-x}=\frac{-9}{10-x} \\ \\
m=-\frac{3}{2} \\
\Downarrow \\
-\frac{3}{2}=\frac{-9}{10-x} \\
-\frac{3}{2}(10-x)=-9 \\
10-x=-9 \times (-\frac{2}{3}) \\
10-x=3 \times 2 \\
10-x=6 \\
-x=6-10 \\
-x=-4 \\
\boxed{x=4}$