All categories

3 years ago

Without actually drawing the figure, could you form a triangle using side lengths 7, 8, and 18 units? Why or why not.

Mathematics

2 answers:

Marysya12 [62]3 years ago

7 0

Answer:

Step-by-step explanation:

ZanzabumX [31]3 years ago

6 0

Here is an example you can learn from.

#1: Is it possible to form a triangle with the given side lengths? If not, explain why not. 1. 5 cm, 7 cm, 10 cm SOLUTION:   The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5 ANSWER:   Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5

2. 3 in., 4 in., 8 in. SOLUTION:   No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: 3+4*8

3. 6 m, 14 m, 10 m SOLUTION:   Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6 . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER:   Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6

4. MULTIPLE CHOICE If the measures of two sides of a triangle are 5 yards and 9 yards, what is the least possible measure of the third side if the measure is an integer? A 4 yd B 5 yd C 6 yd D 14 yd SOLUTION:   Let x represents the length of the third side. Next, set up and solve each of the three triangle inequalities. 5 + 9 > x, 5 + x > 9, and 9 + x > 5 That is, 14 > x, x > 4, and x > –4. Notice that x > –4 is always true for any whole number measure for x. Combining the two remaining inequalities, the range of values that fit both inequalities is x > 4 and x < 14, which can be written as 4 < x < 14. So, the least possible measure of the third side could be 5 yd. The correct option is B. ANSWER:   B

You might be interested in

What volume error (in mL, round to the nearest tenth) would occur in the measuring of 4 mL of a liquid ingredient if the imprope

zmey [24]

Answer:

0.5 mL

Step-by-step explanation:

If the device wasn't properly calibrated, in volume the number can be estimated with a 3 rule:

100%------4mL

12%-------x=12*4/100=0.48≈0.5mL rounding to the nearest tenth

3 0

3 years ago

What is the equation of a line passing through (-3,7) and having a slip of -1/5

MrRa [10]

Answer:

$\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = -1/5. Substitute:

$y=-\dfrac{1}{5}x+b$

Put the coordinates of the given point (-3, 7) to the equation:

$7=-\dfrac{1}{5}(-3)+b$

$7=\dfrac{3}{5}+b$ <em>subtract 3/5 from both sides</em>

$6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}$

3 0

3 years ago

Which function represents the graph (what function is this)

swat32

It’s the first one ( quadratic )

8 0

3 years ago

Find the 2nd Derivative:<br> f(x) = 3x⁴ + 2x² - 8x + 4

ad-work [718]

Answer:

$f''(x)=36x^2+4$

Step-by-step explanation:

Let's start by finding the first derivative of $f(x)= 3x^4+2x^2-8x+4$ . We can do so by using the power rule for derivatives.

The power rule states that:

$\frac{d}{dx} (x^n) = n \times x^n^-^1$

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

$\frac{d}{dx} (3x^4+2x^2-8x+4)$

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)$

Simplify the equation.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)$
$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)$

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)$
$f'(x)=12x^3+4x-8$

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).