Answer:
80?
Step-by-step explanation:
correct me if I'm wrong...
X + y = 7
xy = -30
x + y = 7
x - x + y = -x + 7
y = -x + 7
xy = -30
x(-x + 7) = -30
x(-x) + x(7) = 30
-x² + 7x = -30
-x² + 7x + 30 = 0
-1(x²) - 1(-7x) - 1(-30) = 0
-1(x² - 7x - 30) = 0
-1 -1
x² - 7x - 30 = 0
x² - 10x + 3x - 30 = 0
x(x) - x(10) + 3(x) - 3(10) = 0
x(x - 10) + 3(x - 10) = 0
(x + 3)(x - 10) = 0
x + 3 = 0 or x - 10 = 0
- 3 - 3 + 10 + 10
x = -3 or x = 10
x + y = 7 or x + y = 7
-3 + y = 7 or 10 + y = 7
+ 3 + 3 - 10 - 10
y = 10 or y = -3
(x, y) = (-3, 10) or (x, y) = (10, -3)
The two numbers that add up to 7 and multiply to 30 are -3 and 10.
Answer:
22
Step-by-step explanation:
Given:
An art teacher has the total number of buttons =
1. In order to give each in the class 6 buttons, she will need 18 more buttons.
2. If she gives each child 5 buttons, she will have 4 left over.
Question asked:
How many children are in the class ?
Solution:
<u>Let total number of children in the class = </u>
<u><em>As given that, 18 more buttons will be needed to give 6 buttons to each.</em></u>
The equation will be:-
<em><u>Also given that, If she gives 5 buttons to each, she will have 4 left over.</u></em>
The equation will be:-
Subtraction equation 2 from 1
Hence, total number of children are 22.
Answer:
84 degrees
Step-by-step explanation:
Angle A = 83 degrees
Angle B = x degrees
Angle C = 135 degrees
Angle CDE = 122 degrees
We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.
<ADC = 180-122 = 58
58+83+135 = 276
360-276 = 84 degrees
here. I don't know if its right but i hope it is.