Answer:
Solution set: (3, 4) and (4, 3)
Step-by-step explanation:
Please, to indicate exponentiation, use " ^ ": a^2 and b^2
Then you have:
a + b = 7 and a^2 + b^2 = 25.
Let's eliminate b: Solve a + b = 7 for b, obtaining b = 7 - a.
Then we have:
a^2 + (7 - a)^2 = 25, or
a^2 + 49 - 14a + a^2 - 25 = 0, or
2a^2 - 14a + 24 = 0, or
a^2 - 7a + 12 = 0, which factors as follows:
(a - 3)(a - 4) = 0
This results in a = 3 and a = 4, in which case the equation a + b = 7 tells us that the b values are 4 and 3 respectively.
Solution set: (3, 4) and (4, 3)
Answer:
8
Step-by-step explanation:
3(8-m)=5m-40
you first distribute 3 through the parenthesis
24-3m=5m-40
Move the variable to the left and change sign
24-3m-5m=-40
now move the constant to the right
-3m-5m=-40-24
collect like terms
-8m=-40-24
-8m=-64
Divide both sides by -8 and negative divide negative number becomes positive
so m = 8
Answer:
The slope is 1.5
Step-by-step explanation:
To get the slope of the graph, we proceed to select any two points lying on the given line, and applying the slope formula
The two selected points are as follows;
(x1,y1) = (-4,0)
(x2,y2) = (-2,3)
m = (y2-y1)/(x2-x1)
m = (3-0)/(-2-(-4)
m = 3/2 = 1.5
2x²+x-6=0
(2x-3)(x+2)=0
x=3/2 or -2
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4. Nicole sold 6 magazines for every 5 magazines Lauren sold
so ration magazines sold between Nicole to Lauren" 6:5
6 + 5 = 11
total 165 so 165/11 = 15
15 * 6 = 90
15 * 5 = 75
answer: Nicole sold 90
5.
a. 7:15 and 28:50
No, an equivalent ratio would be 7:15 and 28:60
6. new ratio of Honors to regular is 7:4.
If 77 in Honors then i would be 44 in regular
7* 11 = 77
4*11 = 44
7.
150 binders total
48 are red
150 - 48 = 102 are not red
ratio of red to not red
48:102 = 8:17
ratio not red to total
102:150 = 17:25
8.
6 girls in swimming club, 5 girls in art club, so ratio= 6:5
If 75 girls in art club, how many in swim club?
75/5 = 15
so 6*15 = 90
answer: there will be 90 girls in swim club
a. ratio blue to green chairs 7:8, if 252 blue, how many green
252/7 = 36
so 36 * 8 = 288 green chairs
answer: if 252 blue, will be 288 green chairs