Let the amount of shells collected by Aaron be
and the amount of shells collected by Maria be
respectively. Then the following system of equations should be solved:
First of all, express
out of first equation:
Then, replace
in second equation with found expression and solve it:
Finally, replace
in first equation with found value and solve it too:
So, Aaron has found
7 shells while Maria has found
21.
The x intercept is -3, and the y intercept is -2
Step-by-step explanation:
The equation given is 4x+6y= -12
Rewrite the equation in slope intercept form of y=mx +c where c is the y intercept
y=mx+c
6y=-4x-12
y= -4/6 x -12/6
y=-2/3x -2
c= -2
To get x intercept replace value of y in the equation with 0;
y= -2/3 x -2
0= -2/3 x -2
2= -2/3 x
2*3=-2x
6=-2x
6/-2 =x
-3 =x
x intercept is -3
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Linear equations : brainly.com/question/9994201
Keywords : graph, linear equation, intercepts, plot
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ANSWER
Transitive property of equality.
EXPLANATION
According to the transitive property of equality,
if
a=b and b=c, then a=c.
Therefore,
if x=y and y=10, then x=10 is an example of transitive property of equality.
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
