There is an error in the equation provided. Looking at other similar question such as this, I think the equation related to x and y should be 90x + 1600 = y
Answer:
a) 90
b) 1600
Step-by-step explanation:
The equation 90x + 1600 = y is an equation of a straight line in the form y = mc + c
Adjusting the equation to the general form we get
y = 90x + 1600
m = 90
c = 1600
a) the change in Mary's total pay for each copy she sells in this case is referring to the change of y to the change of x.
In other word, it is the slope of the function.
m = 90
b) if Mary didn't sell any copies, the value of x will be 0.
In graph of a straight line, the value when x= 0 is at the value of y-intercept,
c = 1600
Answer:
1. False
2. False
3. True
Step-by-step explanation:
1. The diagonals of a rectangle always form four congruent triangles, which is a false statement.
The counter-statement will be, the diagonals of a square always form four congruent triangles.
2. A quadrilateral has perpendicular diagonals. Is this enough to determine what type of quadrilateral it is?
The answer is no.
The counter-statement will be, a quadrilateral has perpendicular diagonals, then it may be a rhombus or a square.
3. Explain why drawing a diagonal on any parallelogram will always result in two congruent triangles and it is true that the two triangles will be congruent as the opposite sides of the parallelogram are equal and there is a common side which is the diagonal itself.
Therefore, using SSS criteria the triangles are congruent. (Answer)
This question is incomplete, the complete question is;
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?
Answer: the value of a is 1
Step-by-step explanation:
Given that;
Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1
and coordinate plane is; V = 1/6|abc|
(x/a) + (y/10) + (z/6) = 1
volume = 10
so
10 = 1/6 | a × 10 × 6 |
60 = a × 10 × 6
60 = 60a
a = 60 / 60
a = 1
Therefore the value of a is 1
Answer:
Step-by-step explanation:
<u>Given the sequence </u>
<u>We see it is an AP with</u>
- The first term a = 13
- Common difference d = 13 ( as 26 - 13 = 39 - 26 = 13)
<u>The 12th term is:</u>
- a₁₂ = a + 11d = 13 + 11*13 = 156
Begin with 560,313 and subtract 100,000 from it. You are finding the number that is 100,000 than 560,313 which is 460,313.
