All real numbers.
![\boxed{TRUE}](https://tex.z-dn.net/?f=%5Cboxed%7BTRUE%7D)
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
Expand: 4(a+2)=4a+8
Expand again: 14-2(3-2a)=4a+8
4a+8=4a+8
You subtract by 8 from both sides of an equation.
4a+8-8=4a+8-8
Simplify.
4a=4a
Then, subtract by 4a from both sides of an equation.
4a-4a=4a-4a
Finally, simplify.
4a-4a=0
0=0
True
All real numbers is the final answer.
Hope this helps you!
Have a nice day! :)
Answer:
B.
Step-by-step explanation:
Answer:
y = 2x +1
Step-by-step explanation:
y=kx+1
Substitute the point into the equation
3 = k(1) + 1
3 = k+1
Subtract 1 from each side
3-1 = k
2 = k
y = 2x +1
The slope is 2 and the y intercept is 1
Method 1:
![\begin{array}{ccc}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}\\\\1\dfrac{1}{2}=\dfrac{3}{2}\ \text{cup of corn}&-&x\ \text{cup of water}\end{array}\qquad\text{cross multiply}\\\\\\\dfrac{1}{4}\cdot x=\dfrac{3}{2}\cdot\dfrac{1}{2}\\\\\dfrac{1}{4}x=\dfrac{3}{4}\qquad\text{multiply both sides by 4}\\\\\boxed{x=3}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccc%7D%5Cdfrac%7B1%7D%7B4%7D%5C%20%5Ctext%7Bcup%20of%20corn%7D%26-%26%5Cdfrac%7B1%7D%7B2%7D%5C%20%5Ctext%7Bcup%20of%20water%7D%5C%5C%5C%5C1%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7B3%7D%7B2%7D%5C%20%5Ctext%7Bcup%20of%20corn%7D%26-%26x%5C%20%5Ctext%7Bcup%20of%20water%7D%5Cend%7Barray%7D%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20x%3D%5Cdfrac%7B3%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B4%7Dx%3D%5Cdfrac%7B3%7D%7B4%7D%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%204%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D3%7D)
<h3>Answer: Henry will need 3 cups of water.</h3>
Method 2:
![\begin{matrix}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}&|\text{multiply both sides by 2}\\\\\dfrac{1}{2}\ \text{cup of corn}&-&1\ \text{cup of water}&|\text{multiply both sides by 2}\\\\1\ \text{cup of corn}&-&2\ \text{cup of water}&|\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7D%5Cdfrac%7B1%7D%7B4%7D%5C%20%5Ctext%7Bcup%20of%20corn%7D%26-%26%5Cdfrac%7B1%7D%7B2%7D%5C%20%5Ctext%7Bcup%20of%20water%7D%26%7C%5Ctext%7Bmultiply%20both%20sides%20by%202%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B2%7D%5C%20%5Ctext%7Bcup%20of%20corn%7D%26-%261%5C%20%5Ctext%7Bcup%20of%20water%7D%26%7C%5Ctext%7Bmultiply%20both%20sides%20by%202%7D%5C%5C%5C%5C1%5C%20%5Ctext%7Bcup%20of%20corn%7D%26-%262%5C%20%5Ctext%7Bcup%20of%20water%7D%26%7C%5Cend%7Bmatrix%7D)
![\begin{matrix}\left(\dfrac{1}{2}+1\right)\ \text{cups of corn}&-&(1+2)\ \text{cups of water}\\\\1\dfrac{1}{2}\ \text{cups of corn}&-&3\ \text{cups of water}\end{matrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bmatrix%7D%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%2B1%5Cright%29%5C%20%5Ctext%7Bcups%20of%20corn%7D%26-%26%281%2B2%29%5C%20%5Ctext%7Bcups%20of%20water%7D%5C%5C%5C%5C1%5Cdfrac%7B1%7D%7B2%7D%5C%20%5Ctext%7Bcups%20of%20corn%7D%26-%263%5C%20%5Ctext%7Bcups%20of%20water%7D%5Cend%7Bmatrix%7D)
<h3>Answer: Henry will need 3 cups of water.</h3>
Answer:
Could be wrong but my answer would be none because the angles in a triangle have to add to 180 degrees
Step-by-step explanation: