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Ghella [55]
3 years ago
13

Given f(x) = 2x^2 - 5x, determine the value of f(4).​

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

12

Step-by-step explanation:

f(x) = 2x^2 - 5x

Let x=4

f(4) = 2 (4)^2 -5(4)

Exponents first

     = 2*16 -5*4

Multiply

     =32 -20

subtract

   =12

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Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.
vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152

To find the area of the circumscribed circle:

r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

AC=\sqrt{10.152^2-8^2}\approx 6.25

The area of the triangle is:

A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25

The semiperimeter of the triangle is:

\dfrac{10.152+6.25+8}{2}\approx 24.4

The radius of the circle is therefore \dfrac{25}{24.4}\approx 1.025

The area of the inscribed circle then is \pi\cdot (1.025)^2\approx 3.298.

Hope this helps!

6 0
3 years ago
NEED ASAP!! ILL GIVE YOU 30 points!!
scoundrel [369]

Answer:

X+Y is greater then or equal to 8

Step-by-step explanation:

In total she wants to sell <u>at le</u><u>ast</u> 8 items which implies shes willing to sell more (so greater or equal to) then it's adding X+Y bc those are the items that she is selling

5 0
3 years ago
What is the slope of the line that passes through the points (3, -4) and (7, 4)?
Andrews [41]
The correct option is: Option (C) 2

Explanation:

The slope formula is = m = \frac{y_2 - y_1}{x_2 - x_1}

Insert the values in the above formula:

m = \frac{4 - (-4)}{7 - 3} =  \frac{8}{4} = 2

Which is Option (C).
6 0
3 years ago
Slope of (-20,9) (14,9)
skelet666 [1.2K]
Y2-y1/x2-x1 is slope so

9-9/14-(-20) so you get 0/34 which means there is no slope since they have the same y (the equation would be y=0x+9 therefore y=9)
Which makes sense since the equation is a straight line
3 0
2 years ago
The solution set for <br> 6a^2-a-5=0
Alex_Xolod [135]

Answer:

a=1 or a=5/6

Step-by-step explanation:

I'm going to attempt to factor 6a^2-a-5

a=6

b=-1

c=-5

Find two numbers that multiply to be a*c and add to be b.

a*c=-30                                   =-6(5)

b=-1                                          =-6+5

So replace -a with -6a+5a in the expression we started with

6a^2-6a+5a-5

now we factor by grouping

6a(a-1)+5(a-1)

(a-1)(6a-5)

Now let's solve the equation:

(a-1)(6a-5)=0

So a=1 or a=5/6

4 0
3 years ago
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