Answer:
x | y
1 | 3
2 | 6
4 | 12
5 | 15
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2nd table down
Step-by-step explanation:
x | y
1 | 3
2 | 6
4 | 12
5 | 15
_____
This relationship is y = 3x.
Because y is always x multiplied by 3.
Thus this relationship is the only proportional one because it is in the form y = kx, where k is the constant of proportionality.
The relationship is also known as direct variation because it goes through (0,0) has a constant variation, and is a linear relationship.
Answer: A
Step-by-step explanation: The slope of perpendicular lines is opposite reciprocal. In this case the slope would be 4/3. Plug in for x and y, you get -7 for b.
- y = mx +b
- 9 = 4/3 (12) + b
- 9 = 16 + b
- -7 = b
Rewrite the equation --> y = 4/3x - 7
Answer:
For this case, we have the following equation (according to the comments):
First, we factor the quadratic expression in the denominator:
Then, we multiply both sides of the equation by (a-2) (a + 2):
Later, canceling similar terms we have:
We do distributive property on the left side of the equation:
By grouping variables and constant terms we have:
Rewriting we have:
Finally, by clearing "a" we have:
Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.
Answer:
the student correct, but the value of a= -2 is an extraneous solution
Answer: 7
Step-by-step explanation:
Let the number chosen by Michael be x.
We are told that he multiplied it by itself, added 1. This would be:
= = ( x × x) + 1 = x² + 1
We are further told that he multiplied the result by 10, and added 3. This would be:
= = [(x² + 1) × 10] + 3
= 10x² + 10 + 3
= 10x² + 13
Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:
(10x² + 13) × 4 = 2012
40x² + 52 = 2012
40x² = 2012 - 52
40x² = 1960
x² = 1960/40
x² = 49
x = ✓49
x = 7
The number is 7
can be expressed as:
= ( x × x) + 1 = x² + 1
QUESTION 3
The sum of the interior angles of a kite is .
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But the two remaining opposite angles of the kite are congruent.
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QUESTION 4
RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.
Using the Pythagoras Theorem, we obtain;
QUESTION 5
The given figure is an isosceles trapezium.
The base angles of an isosceles trapezium are equal.
Therefore
QUESTION 6
The measure of angle Y and Z are supplementary angles.
The two angles form a pair of co-interior angles of the trapezium.
This implies that;
QUESTION 7
The sum of the interior angles of a kite is .
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But the two remaining opposite angles are congruent.
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QUESTION 8
The diagonals of the kite meet at right angles.
The length of BC can also be found using Pythagoras Theorem;
QUESTION 9.
The sum of the interior angles of a trapezium is .
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But the measure of angle M and K are congruent.
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