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-1/7 is the correct answer for slope
-3|x+4|+16=7
-3|x+4|=7-16
-3|x+4|=-9
|x+4|=3
x+4=3
x+4=-3
x=-1
x=-7
X1=-7 X2=-1
Answer:
11 x 15 = 165, so to make 165 cookies, you would need 15 times the milk.
2/3 times 15 = 10
You would need 10 cups of milk to make 165 cookies
Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = ![a^2=6^2=36\ inches^2](https://tex.z-dn.net/?f=a%5E2%3D6%5E2%3D36%5C%20inches%5E2)
we know that volume of square right pyramid=![\frac{1}{3}\times\ a^2h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20a%5E2h)
Therefore, volume of square right pyramid made by all of clay=
=48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height ![l=\sqrt{(\frac{a}{2})^2+h^2}](https://tex.z-dn.net/?f=l%3D%5Csqrt%7B%28%5Cfrac%7Ba%7D%7B2%7D%29%5E2%2Bh%5E2%7D)
![\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%5C%20l%3D%5Csqrt%7B3%5E2%2B4%5E2%7D%5C%5C%5CRightarrow%5C%20l%3D%5Csqrt%7B9%2B16%7D%5C%5C%5Crightarrow%5C%20l%3D%5Csqrt%7B25%7D%5C%5C%5CRightarrow%5C%20l%3D5)
The slant height of the pyramid if Helen uses all the clay=5 inches