During a basketball game, Bari scored 28 points. During the game, Denay scored 1/4 the number Bari scored. How many points did D
enay score during this basketball game?
A. 32
B. 6
C. 24
D. 7
1 answer:
Answer:
7
Step-by-step explanation:
1/4 of 28 = 7
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5 is the numerator and 8 is the denominator.
Hope this helped u
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<u>slope intercept form</u>: y = mx + b [ where m is slope and b is y-intercept ]
![\dashrightarrow \ \sf9x + 3y = 27](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%20%5C%20%20%5Csf9x%20%2B%203y%20%3D%2027)
![\dashrightarrow \ \sf 3y = 27 -9x](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%20%5C%20%20%5Csf%203y%20%3D%2027%20-9x)
![\dashrightarrow \ \sf y = \dfrac{27 -9x}{3}](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%20%5C%20%20%5Csf%20y%20%3D%20%5Cdfrac%7B27%20-9x%7D%7B3%7D)
![\dashrightarrow \ \sf y = -3x + 9](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%20%5C%20%20%5Csf%20y%20%3D%20%20-3x%20%2B%209)
Here, the "slope is -3" and "y-intercept is 9"
Look at the picture.
![\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}](https://tex.z-dn.net/?f=%5Ccsc%5Ctheta%3D%5Cdfrac%7B1%7D%7B%5Csin%5Ctheta%7D%3D%5Cdfrac%7B1%7D%7B%5Cfrac%7By%7D%7Br%7D%7D%3D%5Cdfrac%7Br%7D%7By%7D)
We have the right triangle x, y and r. From the Pythagorean theorem we have:
![r^2=x^2+y^2\to r=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=r%5E2%3Dx%5E2%2By%5E2%5Cto%20r%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
We have the point
![\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)](https://tex.z-dn.net/?f=%5Cleft%28-%5Cdfrac%7B2%7D%7B3%7D%3B%5C%20%5Cdfrac%7B%5Csqrt5%7D%7B3%7D%5Cright%29)
Substitute:
![r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cleft%28-%5Cdfrac%7B2%7D%7B3%7D%5Cright%29%5E2%2B%5Cleft%28%5Cdfrac%7B%5Csqrt5%7D%7B3%7D%5Cright%29%5E2%7D%5C%5C%5C%5Cr%3D%5Csqrt%7B%5Cdfrac%7B4%7D%7B9%7D%2B%5Cdfrac%7B5%7D%7B9%7D%7D%5C%5C%5C%5Cr%3D%5Csqrt%7B%5Cdfrac%7B9%7D%7B9%7D%7D%5C%5C%5C%5Cr%3D1)
![\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}](https://tex.z-dn.net/?f=%5Ccsc%5Ctheta%3D%5Cdfrac%7B1%7D%7B%5Cfrac%7B%5Csqrt5%7D%7B3%7D%7D%3D%5Cdfrac%7B3%7D%7B%5Csqrt5%7D%3D%5Cdfrac%7B3%5Ccdot%5Csqrt5%7D%7B%5Csqrt5%5Ccdot%5Csqrt5%7D%3D%5Cboxed%7B%5Cdfrac%7B3%5Csqrt5%7D%7B5%7D%7D)