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3 years ago

Dallas was told to run around the perimeter of the high

Mathematics

2 answers:

Zina [86]3 years ago

7 0

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

= 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

= 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.

NikAS [45]3 years ago

6 0

Answer:

Step-by-step explanation:

got it right on edge

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PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

2 years ago

Need help with this <br>

defon

Let n be the larger integer and n-2 be the smaller integer.

n² - (n - 2)²

= n² - (n - 2)(n - 2)

= n² - (n² - 4n - 4)

= n² - n² + 4n + 4

= 4n + 4

= 4(n + 1)

No matter what value n is, it will always be a multiple of 4.

4 0

2 years ago

Positive numbers are to the<br> number line_______<br> of the zero on the number line.

yKpoI14uk [10]

Positive number are on the right of the zero on the number line.

6 0

3 years ago

20+8y-9y-21 which expression is equivalent

faust18 [17]

Since you didn't provide expression to see which one is equivalent,, I will simply solve the expression you provided. If you need help finding out which expression option is equivalent after I solve this for you,, let me know and I would be more than happy to help you figure it out.
The first step for solving this expression is to calculate the difference between 20 and 21. We can start solving this by keeping the sign of the number with the larger absolute value and subtract the smaller absolute value from it. This will look like the following:
-(21 - 20)
Now subtract the numbers and add it back into the expression.
-1 + 8y - 9y
Next we need to collect the like terms with a y variable by subtracting their coefficients.
(8 - 9)y
Calculate the difference in the parenthesis.
-1y
Remember that when the term has a coefficient of -1,, the number doesn't have to be written but the sign must remain.
-y
Lastly,, add this back into the expression to get your final answer.
-1 - y
Let me know if you have any further questions.
:)

4 0

3 years ago

If an object falls 40 meters in 4 seconds,how far will it fall in6 seconds

sweet [91]

Answer:

60 seconds

Step-by-step explanation:

step 1.) find how many meters it falls per second

40m / 4sec = 10m/s

step 2.) use the equation above to find in terms of the question

10m/s for 6sec = 10 x 6 ====> 60 seconds

4 0

2 years ago