Answer:
x=3
y=11
Step-by-step explanation:
y = 3x + 2 equation 1
y = 7x - 10 equation 2
using equation 1 in equation 2 we have:
3x + 2 = 7x - 10
2=7x - 3x -10
2 = 4x -10
2+10 = 4x
12= 4x
12/4 = x
we have:
x= 3
using equation 1:
y = 3x + 2
y= 3(3)+2
y=9+2
y=11
The property used is B: addition property
Step-by-step explanation:
The addition property of equality states that if you add the same number to both sides of an equation, the equation balances.In this case;
5x-9<91------------performing addition property of equality
5x-9+9<91+9
5x<100----------performing division property
5x/5<100/5
x<20 ------answer
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Addition Property : brainly.com/question/3474035
Keyword : property, inequality
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Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Answer:
(2) Real and equal (i.e., repeated roots), if D = 0.
Step-by-step explanation:
.In a quadratic equation ax2 + bx + c = 0, if discriminant is D= b2 - 4ac, then roots of the quadratic equation are
Real and equal (i.e., repeated roots), if D = 0.
If the D > b² - 4ac then it's real and distinct.
