Step-by-step explanation:
higher
Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
Answer:
The equation of the sphere with center (-3, 2 , 5) and radius 4 is
The intersection of the sphere with the yz- plane gave the equation which is a 2D- circle with center (0,2,5) and radius .
Step-by-step explanation:
The equation of a sphere of radius r, with center (a,b,c) is given by
where, and are the coordinates of the points on the surface of the sphere.
Hence, the equation of the sphere with center, (-3, 2 , 5) and radius 4 becomes
Then,
This is the equation of the sphere with center (-3, 2 , 5) and radius 4,
Now, for the intersection of this sphere with the yz- plane,
The plane is where , then we set
Them the equation becomes
This equation is the equation of a 2D- circle with center (0,2,5) and radius
This is the part of the sphere that intersects with the yz-plane.
Answer:
380
144
147
345
114
368
296
174
62
Answer:
30 x 6 = 180
95 x 4 = 380
48 x 3 = 114
21 x 7 = 147
69 x 5 = 345
38 x 3 = 114
46 x 8 = 368
74 x 4 = 296
29 x 6 = 174
31 x 2 = 62
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.
There is no price of the taco that makes that both of them spend the same.
Liam and Zachary buy tacos at the same place. Let "x" be the price of each taco and "y" be the total amount spent.
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase.
We can represent the situation through the following linear equation.
y = 4x - 5.50 [1]
Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total.
We can represent the situation through the following linear equation.
y = 3x - 6.50 [2]
We want to know the prices of the taco so that both of them spend the same amount.
We calculate it making [1] equal to [2].
4x - 5.50 = 3x - 6.50
4x - 3x = -6.50 + 5.50
x = -1.00
The taco would have cost -1.00 for both of them to spend the same. Since in reality, this is unlikely, we can say that there is no price of the taco that makes that both of them spend the same.
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.
There is no price of the taco that makes that both of them spend the same.
Learn more about linear equations here: brainly.com/question/2263981
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps!!!!!!