Answer:
(x+10)+(×+50)=180(exterior co- interior angel
2x+60=180
2×=180-60
×=120/2
×=60
(6x+3)=(7x-12)(corresponding angle )
3+12=7×-6×
x=15
4x-2=3x-19(vertically opposite angle)
4x-3×=-19+2
x=-17
First, we have to find the rate:
500/50
100/10
10/1
10 cents a pitch:
129 * 10 = 1290
It will cost $12.90
Answer:
1985 cubic units (written as un. with the cubed exponent)
Step-by-step explanation:
First, you find the volume of the cylinder
Here's the formula:

Now, you plug in and solve.

Then, you find the volume of the dome.
Here's the formula:

Now, you just plug in and solve.

Finally, you add them together, and there's your answer!

Hope this helped!
<em>brainliest?</em>
Correct Answer:
Option 3: <span>The quadratic function has two distinct real zeros.
The function is quadratic, therefore it can have only 2 zeros. The knowledge of x-intercepts is needed to determine the zeros, y-intercepts has nothing to do with the zeros of a function. The given function has 2 unique x-intercepts, so according to the fundamental theorem of algebra, this function has 2 distinct real roots as number of distinct real roots are equal to the number of x-intercepts. Therefore, option 3 is the correct answer. </span>
Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
-----------------------------------
(b)
-
=
( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
--------------------------------------------
(c) Assuming lg means log then using the rules of logarithms
log
⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3