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Viefleur [7K]
3 years ago
9

Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0
Acute. This is the right answer
You might be interested in
Determine the intercepts of the line that passes through the following points
sladkih [1.3K]

Answer:

(2,0) - x -intercept

(0, 1.5) - y-intercept

Step-by-step explanation:

The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.

The x values increase by 4.

So the rate of change is -3/4.

This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.

To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:

x                      y

-2                    3

0                      ???

2                      0

6                     -3

10                    -6

14                    -9

Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.

6 0
3 years ago
PLS HELP ME ASAP FOR 5, 6, and 7 (SHOW WORK!!) + LOTS OF POINTS!!
kobusy [5.1K]
Where the line touches the x-axis
8 0
3 years ago
Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x​ 2​+ 9 h(x) = 3x - 14
Goryan [66]

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

f(x)=44x

substitute given numbers into each equation

44(-2)=-88                3(4)-14= 12-14=-2

combine equations

-88-(-2)= -86   add since you are subtracting a negative number

4 0
3 years ago
The average rate of change of f from 2 to 3
ella [17]

For a function of f, the average rate of change can be found as follows:


ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}


So, this problem asks for the Average Rate of Change of f from x_{1}=2 to x_{2}=3. In this way, we need to find f(x_{1}) \ and \ f(x_{2}). As you can see above, we have the graph of f(x), so we can find these values. Thus, from the graph:


f(x_{1})=4 \\ f(x_{2})=1


Therefore:


ARC=\frac{1-4}{3-2} \\ \\ \therefore \boxed{ARC=-3}

3 0
3 years ago
9) State the coordinates of the endpoints of a<br> line segment that intersects the y-axis.
eduard

Answer:

(5,4) and (3,4)

Step-by-step explanation:

A line segment has 2 end points which can be denoted as:

(x_1,y_1) and (x_2,y_2)

When this line segment intersects at y.

This means that the coordinate on the y axis is the same at both end points

i.e.

y_1 = y_2 = y

(x_1,y_1) and (x_2,y_2) becomes (x_1,y) and (x_2,y)

x1 and x2 can be any value but the y value must remain unchanged

Using the above analysis, a possible coordinate is:

(5,4) and (3,4)

Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form (x_1,y)<em> and </em>(x_2,y)<em />

Take for instance, another possible pair is:

(1,-3) and (0,-3)

7 0
3 years ago
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