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3 years ago

Why is it not possible to form a right triangle with the lengths 2, 4, and 7? *

Mathematics

2 answers:

puteri [66]3 years ago

8 0

Answer:

No. The sum of 2 and 4 is less than 7.

Step-by-step explanation:

So, first, to create a triangle, the sum of two smallest sides have to be greater than the longest side, which is 2+4 = 6, and 6 is smaller than 7.

So, no, 2, 4, and 7 cannot create a triangle, to be exact a right triangle.

Hope this helps!!

Hoochie [10]3 years ago

3 0

Answer: the answer would be 2²+4² don't equal 7²

Step-by-step explanation:

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Give the following equations determine if the lines are parallel perpendicular or neither

GaryK [48]

In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.

$\frac{6x-5y}{2}=x+1$

Cross multiply both sides of the equation.

$6x-5y=2(x+1)$ $6x-5y=2x+2$

Subtract 6x on both sides of the equation.

$6x-5y-6x=2x+2-6x$ $-5y=-4x+2$

Divide both sides of the equation by -5.

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

Therefore, the slope of the first equation is 4/5.

Let's now simplify the second equation.

$-4y-x=4x+5$

Add x on both sides of the equation.

$-4y-x+x=4x+5+x$ $-4y=5x+5$

Divide both sides of the equation by -4.

$\frac{-4y}{-4}=\frac{5x}{-4}+\frac{5}{-4}$ $y=-\frac{5}{4}x-\frac{5}{4}$

Therefore, the slope of the second equation is -5/4.

Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.

5 0

1 year ago

On a map, 90 miles is represented by 3 inches.

jarptica [38.1K]

If the ratio is 90:3 and there are 4 groups of 3 in 12, then the ratio would then be 450:12, leaving you with 450 as the answer. Hope I helped

4 0

3 years ago

Read 2 more answers

The work of a student to solve a set of equations is shown:

Alina [70]

In which step did the student first make an error?

Answer: Step 2

Step 2 should be:

−3y = -45 + 6z

7 0

3 years ago

For the functions f(x)=−7x^2−x and g(x)=9x^2−4x, find (f−g)(x) and (f−g)(1)

musickatia [10]

Answer:

See below.

Step-by-step explanation:

$f(x)=-7x^2-x\\g(x)=9x^2-4x\\(f-g)(x)=f(x)-g(x)\\(f-g)(x)=(-7x^2-x)-(9x^2-4x)\\(f-g)(x)=-7x^2-x-9x^2+4x\\(f-g)(x)=-16x^2+3x\\\\(f-g)(1)=-16(1)^2+3(1)\\(f-g)(1)=-16+3=-13$

5 0

3 years ago

A payday loan company charges a $35 fee for a $350 payday loan that will be repaid in 19 days. Treating the fee as interest paid

Naily [24]

Answer:

192.1%

Step-by-step explanation:

The formula for the amount of interest is ...

i = Prt . . . . . where i is the interest amount, P is the principal, r is the annual rate, and t is the number of years. (Here, we have a fraction of a year.)

Solving for the rate, we have ...

r = i/(Pt)

For "exact" interest, we use 365 days in the year. So, for a time of 19 days of 365, the interest rate is ...

r = $35/($350·19/365) ≈ 1.921 = 192.1%

6 0

2 years ago