Answer:
See the attachment
Step-by-step explanation:
7. The common difference is 4, so the next term will be 17+4 = 21, and the term after that will be 21+4 = 25. Figuring the next two terms as 21, 25 is sufficient to select the appropriate answer.
8. The table entry (0, 14) tells you only choices G and J are viable. The difference between terms of 22-14 = 8 tells you the appropriate choice is the one with a slope of 8, choice G.
9. In a linear equation, the sum of exponents of the variables in any/every term must not be greater than 1. (All exponents must be integers, as they are here.) Selections A and D have squared terms, so are not linear. Selection C has the product of variables "xy", so is not linear.
Answer:
Step-by-step explanation:
xy = k
where k is the constant of variation.
We can also express the relationship between x and y as:
y =
where k is the constant of variation.
Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .
Example 1: If y varies inversely as x, and y = 6 when x = , write an equation describing this inverse variation.
k = (6) = 8
xy = 8 or y =
Example 2: If y varies inversely as x, and the constant of variation is k = , what is y when x = 10?
xy =
10y =
y = × = × =
k is constant. Thus, given any two points (x1, y1) and (x2, y2) which satisfy the inverse variation, x1y1 = k and x2y2 = k. Consequently, x1y1 = x2y2 for any two points that satisfy the inverse variation.
Example 3: If y varies inversely as x, and y = 10 when x = 6, then what is y when x = 15?
x1y1 = x2y2
6(10) = 15y
60 = 15y
y = 4
Thus, when x = 6, y = 4.
2nd answer choice
constant of variation is xy. XY=23. If X=7 then Y=23/7.
2 and 4 are both factors of 8, which means any multiple of 8 can be divided by both 2 and 4 since 8 can be. So, Jose and Jamila are both right.
Hello!
To find our answer, we first convert 1/2 into fourths. We multiply it by 2/2, giving us 2/4.
2/4+1/4=3/4
Therefore, our answer is 
.
I hope this helps!
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
<h3>What are
congruent triangles?</h3>
Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.
Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
Find out more on congruent triangle at: brainly.com/question/1675117
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