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2 years ago

What is the equation of the blue line?

Mathematics

1 answer:

motikmotik2 years ago

3 0

Answer:

y = 2x + 3

Step-by-step explanation:

Get any two points on the line, say (0, 3) and (2, 7)

Slope = (7 - 3)/(2 - 0) = 4/2 = 2

y = 2x + b

use (0, 3), x = 0, y = 3

3 = b

so the equation is y = 2x + 3

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How to solve the second equation

ivann1987 [24]

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
y = &{{ -0.02}}x^2&{{ +1}}x&{{ +6}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{1^2}{2(-0.02)}~~,~~6-\cfrac{1^2}{4(-0.02)} \right)
\\\\\\
(\stackrel{\textit{how far ahead it went}}{25}~,~\stackrel{\textit{how high it went}}{18\frac{1}{2}})$

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
y = &{{ -0.01}}x^2&{{ +0.7}}x&{{ +6}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{0.7^2}{2(-0.01)}~~,~~6-\cfrac{0.7^2}{4(-0.01)} \right)
\\\\\\
(\stackrel{\textit{how far ahead it went}}{24\frac{1}{2}}~,~\stackrel{\textit{how high it went}}{18\frac{1}{2}})$

4 0

3 years ago

Write an inequality for the graph. Then, in words, describe all the values of that make the inequality true.

kow [346]

-3 > x

The values that make this inequality true are those that are less than -3. The inequality does not include -3.

7 0

2 years ago

If a puzzle has 5 empty squares and 5 shades in, what improper fraction represents the shaded part?

LenaWriter [7]

Answer:

5/10

Step-by-step explanation:

5+5=10. so 5 empty 0/10 5 shaded 5/10

4 0

2 years ago

87 POINTS PLZ HELP Aman is adding –17 + 9. He wants to write –17 as the sum of two numbers so that one of the numbers, when adde

Pie

Consider number 17. You know that

17=9+8.

Then for negative numbers you have the same rule (with respect to sign -):

-17=(-9)+(-8).

Since (-9)+9=9+(-9)=9-9=0, you have that

-17+9=(-9)+(-8)+9=(-9+9)+(-8)=0+(-8)=-8.

Answer: -17=(-9)+(-8).

5 0

3 years ago

4-0.25g+0.5h= when g=10, h=5

neonofarm [45]

The answer to this problem is 4

4 0

3 years ago

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