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3 years ago

Explain how to graph information from the table

2 answers:

6 0

The table gives you x and y coordinates. The graph has an x and y axis. Your x coordinates are paired with your y coordinates. Remember to always start at the origin, when plotting your points. For example, if the table gave you 2 for x and 3 for y. You would go 2 units across and 3 units up. Then, plot that point. Continue plotting the points and then if it's a linear graph, make a line with a ruler going through the points.

natulia [17]3 years ago

3 0

Answer:

Plot the ordered pairs (2, 5) and (4, 10). Start at (4, 10). Move right 2 and up 5, and then plot a point. Use the same rate to plot other points. You could also draw a line through the origin and the two given points. Any point on the line represents an equivalent ratio.

Step-by-step explanation:

You might be interested in

Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.

dem82 [27]

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)

Formula used :

→Mid point of two points- $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

→Slope of two points - $\frac{y_2-y_1}{x_2-x_1})$

→Perpendicular of a line = $\frac{-1}{slope of line})$

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = -1

Equation of AB with slope -1 and the coordinates (-1,0) is,

(y – 0) = -1(x – (-1))

y+x=-1………………(1)

Similarly, for AC

Mid point of AC = $(\frac{2+2}{2},\frac{3-3}{2})=(2,0)$

Slope of AC = $\frac{-3-3}{2-2}=\frac{-6}{0}$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = 0

Equation of AC with slope 0 and the coordinates (2,0) is,

(y – 0) = 0(x – 2)

y=0 ………………(2)

By solving equation (1) and (2),

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of CF = -1

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF

(y – 0) = -1(x – (-1))

y+x=-1………………(3)

Similarly, mid point of BC = $(\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)$

Slope of AB = $\frac{-3+3}{-4-2}=0$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))

y+3=0

y=-3………………(4)

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)

7 0

3 years ago

What is the arc length of an arc with radius 10 in and central angle 60 degrees ? Show your work.

emmasim [6.3K]

Answer:

$\huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

geometry
PEMDAS

<h3>tips and formulas:</h3>

$s = \frac{\pi {r} \theta}{180}$

<h3>given:</h3>

r=10
$\theta = 60$

<h3>let's solve:</h3>

$\sf sustitute \: the \: value s \: of \: \theta \: and \: r : \\ =\frac{\pi \times 10 \times 60}{180}$
$\sf rediuce \: 60 : \\ =\frac{\pi \times 10 \times \cancel{60} \: ^{1} }{ \cancel{180} \: \:^{3} } \\ =\frac{\pi \times 10}{3}$
$\sf use \: 3.14 \: for \: \pi : \\ = \frac{3.14 \times 10}{3}$
$\sf simplify \: multipication : \\ = \frac{31.4}{3} \\ \approx \: 10.47$