Combine like terms (terms with the same variable (letter)). Remember to bring the sign.
4c - 4d + 8c - 3d
4c + 8c = 12c
-4d - 3d = -7d
12c - 7d is your answer
hope this helps
Answer:
The ratio to water to flour is 3:2
The chef will need 2 cups of water? - im not sure
The ratio to water to flour is 3:2.25 - im not sure
The chef will need 1.5 cups of flour.
The drop down menus are not provided. However, I will help get the solution of the system of equation which is the requirement of the question.
<u><em>Answer:</em></u>
(3,14) and (-2,-1) are the solutions of the system
<u><em>Explanation:</em></u>
<u>The first equation given is:</u>
y = x² + 2x - 1 .........> equation I
<u>The second given equation is:</u>
y - 3x = 5
<u>This can be rewritten as:</u>
y = 3x + 5 ..........> equation II
<u>Equate equations I and II and solve for x as follows:</u>
x² + 2x - 1 = 3x + 5
x² + 2x - 1 - 3x - 5 = 0
x² - x - 6 = 0
(x-3)(x+2) = 0
either x-3 = 0 .........> x = 3
or x+2 = 0 ...........> x = -2
<u>Now, we get the values of y by substituting in equation II as follows:</u>
At x = 3:
y = 3x + 5
y = 3(3) + 5
y = 14
The first solution is (3,14)
At x = -2:
y = 3x + 5
y = 3(-2) + 5
y = -1
The second solution is (-2,-1)
Hope this helps :)
18.........
hope this helps
Answer:
Step-by-step explanation:
Looking at the diagram,
Line DT is parallel to line line BM, therefore, triangle DHT is similar to triangle BHM. This means that
DH/DB = TH/MH
DH = 15 + 6 = 21
TH = 9 + x
Therefore
(9 + x)/21 = 9/6
Cross multiplying, it becomes
6(9 + x) = 21 × 9 = 189
54 + 6x = 189
Subtracting 54 from the left hand side and the right hand side of the equation, it becomes
6x + 54 - 54 = 189 - 54
6x = 135
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 135/6
x = 22.5
