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4 years ago

What is the slope of the line on the graph below?

Mathematics

2 answers:

olganol [36]4 years ago

7 0

Take two ordered pairs along the line and calculate the change in y over change in x or rise over run.

(0,-5)(3,-4)

-4-(-5) / (3-0)
1/3

Final answer: 1/3

lakkis [162]4 years ago

5 0

Find two pairs

(0,-5)(3,-4)

Find the gradient

(0-3)/(-5--4)
=3

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A triangle has a base of 54 cm. The height is unknown. Complete the equation that can be used to find the area, A, of the triang

Nookie1986 [14]

Answer:

Step-by-step explanation:

area=1/2×base×height

A=1/2×54×h=27h

4 0

3 years ago

Which set of angle measures could be the measures of the interior angles of a triangle? please help me

marishachu [46]

Answer:

B. 60-60-60

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. The only set of numbers adding up to 180 is choice B.

8 0

3 years ago

Turn the sentence into an expression please

sveticcg [70]

Answer:

(x+20) + (x-9)

Step-by-step explanation:

3 0

3 years ago

What is the other endpoint if one endpoint is (10,12) and the midpoint is (6,9).?

Lubov Fominskaja [6]

Answer:

$(2,\, 6)$ .

Step-by-step explanation:

Let $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ denote the two endpoints.

The formula for the midpoint of these two points would be:

$\displaystyle \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)$ .

(Similar to taking the average of each coordinate.)

In this question, it is given that $x_{0} = 10$ whereas $y_{0} = 12$ . Substitute these two values into the expression for the coordinate of the midpoint:

$x$ -coordinate of the midpoint: $\displaystyle \frac{10 + x_{1}}{2} = 6$ .
$y$ -coordinate of the midpoint: $\displaystyle \frac{12 + y_{1}}{2} = 9$ .

Solve these two equations for $x_{1}$ and $y_{1}$ : $x_{1} = 2$ whereas $y_{1} = 6$ .

Hence, the coordinate of the other point would be $(2,\, 6)$ .

4 0

3 years ago

Point A is at (-1,-9) and Point M is at (0.5,-2.5).

leva [86]

Midpoint Formula: $(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})$

So firstly, let's start with the x-coordinates. Since we know the midpoint's x-coordinate and point A's x-coordinate, we can solve for point B's x-coordinate as such:

$\frac{-1+x}{2}=0.5\\\\-1+x=1\\\\x=2$

Next, do the same thing except solve for the y-coordinate and using point A's y-coordinate and the midpoint's y-coordinate:

$\frac{-9+y}{2}=-2.5\\\\-9+y=-5\\\\y=4$

<u>Putting it together, point B's coordinates are (2,4).</u>

4 0

3 years ago