2.52 * 27.94 = 70.4088, so not that one
94.1 * 2.5 = 235.25, so not that one
1.83 * 2.9 = 5.307, so not that one
25.07 * 5.4 = 135.378, so that one
Answer:
D. 25.07 * 5.4 = 135.378
Remember that
If the given coordinates of the vertices and foci have the form (0,10) and (0,14)
then
the transverse axis is the y-axis
so
the equation is of the form
(y-k)^2/a^2-(x-h)^2/b^2=1
In this problem
center (h,k) is equal to (0,4)
(0,a-k)) is equal to (0,10)
a=10-4=6
(0,c-k) is equal to (0,14)
c=14-4=10
Find out the value of b
b^2=c^2-a^2
b^2=10^2-6^2
b^2=64
therefore
the equation is equal to
<h2>(y-4)^2/36-x^2/64=1</h2><h2>the answer is option A</h2>
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❖ 24. D. 18 minutes 25. C. 12
To solve for number 24, you know that the teacher can grade 5 exams in 3 minutes. He's grading a total of 30 exams. We multiply 5 x 6 to get 30 and we also multiply 3 x 6 to get 18.
To solve for number 25, you know the Dukes have won 3 out of 5 of their last games. The season has 20 games so we multiply 5 x 4 to get 20 and 3 x 4 to get 12.
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Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.
