He lost 8, so he is at -8, he then gains 15 so add 15 to -8"-8 + 15 = 7
He gains 7 so now add 7 to the total: 7+ 7 = 14
He then loses 4, so now subtract 4 from the total: 14 - 4 = 10
Answer: He gained 10 yards.
Answer:
y=-x+4
Step-by-step explanation:
Since the two lines are parallel, the slope would be negative x and the y intercept is 4
ANSWER
The points (1,2) and (7,2) lie on the given curve.
EXPLANATION
The given parametric equations are:
![x = 3t + 4](https://tex.z-dn.net/?f=x%20%3D%203t%20%2B%204)
and
![y = 2 {t}^{2}](https://tex.z-dn.net/?f=y%20%3D%202%20%7Bt%7D%5E%7B2%7D%20)
We make t the subject in the first equation to obtain:
![t = \frac{x - 4}{3}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7Bx%20-%204%7D%7B3%7D%20)
We substitute this into the second equation to get:
![y =2{(\frac{x - 4}{3} )}^{2}](https://tex.z-dn.net/?f=y%20%3D2%7B%28%5Cfrac%7Bx%20-%204%7D%7B3%7D%20%29%7D%5E%7B2%7D%20)
When x=1,
![y = 2 {(\frac{1 - 4}{3} )}^{2} = 2](https://tex.z-dn.net/?f=y%20%3D%202%20%7B%28%5Cfrac%7B1%20-%204%7D%7B3%7D%20%29%7D%5E%7B2%7D%20%20%3D%202)
When x=2
![y =2{(\frac{2- 4}{3} )}^{2} = \frac{8}{9}](https://tex.z-dn.net/?f=y%20%3D2%7B%28%5Cfrac%7B2-%204%7D%7B3%7D%20%29%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B9%7D%20)
When x=7,
![y =2{(\frac{7 - 4}{3} )}^{2} = 2](https://tex.z-dn.net/?f=y%20%3D2%7B%28%5Cfrac%7B7%20-%204%7D%7B3%7D%20%29%7D%5E%7B2%7D%20%20%3D%202)
Therefore the points (1,2) and (7,2) lie on the given curve.
Answer : Distance will be 1507.2 feet .
Explanation :
Since we have given that
Radius of circle = 80 feet
So,
Circumference of circle is given by
![2\pi r=2\times 3.14\times 80=502.4 \text{ feet}](https://tex.z-dn.net/?f=2%5Cpi%20r%3D2%5Ctimes%203.14%5Ctimes%2080%3D502.4%20%5Ctext%7B%20feet%7D)
Since , a car travels 3 times around a traffic circle.
So,
![\text{ Distance covered by the car will travel}= 3\times 502.4= 1507.2 \text{ feet }](https://tex.z-dn.net/?f=%5Ctext%7B%20Distance%20covered%20by%20the%20car%20will%20travel%7D%3D%203%5Ctimes%20502.4%3D%201507.2%20%5Ctext%7B%20feet%20%7D)
So, Distance will be 1507.2 feet .
Answer:
If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.
Distance from this intersecting point to the centre of the other circle=39–7=32cm
Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.
Aliter: radius of the other circle=√32²+24²= 40cm.
<h2><em>please</em><em> </em><em>mark</em><em> me</em><em> as</em><em> brainalist</em></h2>