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Yuri [45]
2 years ago
9

Can someone help with these

Mathematics
1 answer:
Dvinal [7]2 years ago
6 0

Answer:

i dont answer your question

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Find the x- and y- intercepts of parabola y=5x^2-16x+10
____ [38]

Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

5 0
2 years ago
The width and length of a rectangle are (x+2) and (2x+5). Find the expression that can be used to represent the perimeter and ar
Aliun [14]
To find the area of this rectangle you multiply the length by the width, like so (x+2) x (2x+5) .

To find the perimeter of this rectangle you add all the sides using this equation,
(x+2)+(x+2)+(2x+5)+(2x+5) .
3 0
2 years ago
Which inequality is equivalent to this one? y-85-2 y-8+82-2+8 oy- 8+8 ​
vladimir2022 [97]

Answer:

The answer is the forth one , Y-8+2⩽-2+2

5 0
3 years ago
Please Help i am on a time limit!! will give brainliest
Oksi-84 [34.3K]

Answer:

C. 72 sorry if its wrong

Step-by-step explanation:

trapezoid formula : A= 1/2h(B+b)

plug in:

A= 1/2×6(10+14)

A= 3(24)

A= 72

6 0
3 years ago
I am so confused plz no spam answers or I will report them and there are not any answer choices
GalinKa [24]
This problem is a multi step problem. All you have to do is break it down into parts to make it easier. We can start by finding the diameter of the inner circle. 

1. circumference = πd   (Since the circumference is given as 44, and we know to use 22/7 for π, divide 44 by 22/7 to get d.) 
         44 / 22/7 = about 14.0 when rounded

2. Now add +8 to the 14 since we know that there are 4 ft. on both sides of the small inner circle. 
         14 + 8 = 22

3) The last step gave us the diameter of the bigger outer circle. Now, we have to plug in the 22 for d in the formula for circumference to find the circumference of the outer circle. 
         c = πd  →  c = 22 * 22/7 = 484/7 (484/7 = about 69 when rounded as a decimal)

4) The last step now is to subtract the circumferences, since the problem was asking for how much greater the outer circle's circumference is than the inner circle. 
       69 - 44 = 25

Your answer should be about 25 ft.

********** Note the answer they are looking for may be slightly different depending on whether they were looking for a fraction or decimal answer and where they rounded. ********************************************************



6 0
3 years ago
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