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nevsk [136]
3 years ago
12

Draw two examples of different right triangles that could lie on a line with a slope of 2/5.

Mathematics
1 answer:
White raven [17]3 years ago
6 0

Answer:

ΔCDE and ΔCGH

Step-by-step explanation:

Since the slope is 2/5 (or 0.4), then there can be drawn a function graph f(x)=0.4x whose slope is 2/5. So now let's draw a pair of parallel lines. We have then a pair of congruent triangles, i.e. ΔCDE ≅ ΔCGH. These triangles have their hypotenuses on the line whose slope is 2/5.

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Llana [10]

Solution in attachment.

<h3>x = -6, y = 9, z = -3</h3>

3 0
3 years ago
This is my last question please help asap!!
Ivanshal [37]

The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

                                     rate(m) = \frac{f(b)-f(a)}{b-a}

The given function is  g(x) = 5(2)^{x},

Now calculating the average rate of change of function from x = 1 to x = 2.

                               m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10

Now, calculate the average rate of change of function from x = 3 to x = 4.

                                 m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function g(x)=5(2)^{x} from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

brainly.com/question/24313700

#SPJ1  

7 0
1 year ago
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.
lakkis [162]

The smallest perimeter is 72.44 inches. The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. As much as possible, the sum of the length of the two remaining side must be greater than the other side. Given the side is 30, then the sum of the two remaining sides should be greater than 30 inches.

7 0
3 years ago
Is 8d + 4w and 1/2(8d+4w) equivalent
DiKsa [7]

Answer:no

Step-by-step explanation:

Because there is a one half in front of the second one and if the one half wasn’t there,then it would be equivalent bc they are the same number.

8 0
2 years ago
Can someone help me? I don’t know how to solve it. Thank you!
Minchanka [31]

Answer:

C. 5x^2 - 8x + 13

Step-by-step explanation:

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3 years ago
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