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MrRa [10]
3 years ago
10

Can you form a right triangle with the three lengths given? Why or why not? 4mi, 5mi, 6mi

Mathematics
2 answers:
Vladimir [108]3 years ago
6 0
A right triangle must satisfy this equation: a^2 + b^2 = c^2 

a= shortest length
b=medium length
c=the longest length

a triangle with sides 4,5,6 will satisfy not this equation because:
4^2 + 5^2 ≠ 6^2 
16+25 = 41

41 ≠ 36

so the answer is C.

Hope this helps.

-Jabba

Novosadov [1.4K]3 years ago
6 0
Yes it's possible. sum of square of 4 and 5 is equal to the square of 6.
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Which does not show a direct variation between x and y?
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A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where y = x * (constant).

In answer a, y = x*.5, so it is a direct variation.
In answer c, y = x* \frac{1}{9}, so it is a direct variation.
In answer d, y = x*2, so it is a direct variation,

Only answer b is left, which means the answer must be 'b'. 

We also know 'b' is the answer because it cannot be expressed as <span>y = x * (constant). Instead, it is expressed as </span>y =  \frac{constant}{x}, which is not the same thing and is therefore not a direct variation.

Hope I helped, and let me know if you have any questions :)
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$4.20 / 36 = $0.11667 per potato<span>
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Find the number of real solutions of each equation using the discriminant.
lianna [129]

Answer: 1: x^2 + 25 = 0 x=5

2: x^2 - 11x + 28 = 0 x=7 i think

3: x^2 + 8x + 16 = 0 x=-4

Step-by-step explanation:

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The graph shows the speed of Sam’s car over time. A graph titled Speed of Car. The horizontal axis shows time (hours) and the ve
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Theequationforlinegcanbewrittenas y = –9 4 x − 1 . Line h , whichisperpendiculartoline g , includesthepoint (10, 4) . What isthe
KATRIN_1 [288]

Answer:

y-4 = 4/9(x-10)

Step-by-step explanation:

Given the equation of the line g to be y = -9/4 x - 1.

To find the equation of a line h perpendicular to this line, the following steps must be taken;

First find the slope of the known line g

The standard equation of a line is y = mx+c where

m is the slope

c is the intercept

Comparing this equation with the given equation y = -9/4 x -1, it can be seen that the slope of the line g is -9/4

Next is to find the slope of the line h

Since the line g is perpendicular to h, then the product of their slope will be -1 i.e mh*mg = -1

mh = -1.mg

mh = -1/(-9/4)

mh = -1*-4/9

mh = 4/9

Hence the slope of the line h is 4/9

Find the intercept of line h

To get this, you will substitute the slope m and the point into the equation y = mx+c

m = 4/9

(x,y) = (10,4)

4 = 4/9(10) + c

4 = 40/9 + c

c = 4-40/9

c = (36-40)/9

c = -4/9

Hence the intercept of the line h is -4/9

Finally, find the equation of the line h in slope-intercept form

The slope-intercept form of a line is expressed as y = mx+c

y-y0 = m(x-x0)

Given

m = -4/9

x0 = 10

y0 = 4

Substitute:

y-4 = 4/9(x-10)

Hence the equation in slope-intercept form is y-4 = 4/9(x-10)

7 0
3 years ago
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