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ehidna [41]
3 years ago
8

Find (gºf)(3)

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

A. -25

Step-by-step explanation:

sana nakatulong :-)

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NEED HELP ASAP!!!! MATH SUCKS :')​
Flauer [41]

Answer:

I would choose D

Step-by-step explanation:

im sorry if im wrong :( im not good at math..

7 0
3 years ago
Given m||n, find the value of x
ICE Princess25 [194]

By using the corresponding angles theorem we can see that (6x - 5)° and (x - 25)° are supplementary angles, so they add up to 180°.

This means that:

(6x - 5) + (x - 25) = 180

7x - 30 = 180

7x = 210

x = 30

If you want to find the exact values of the angles, just plug x = 30 into the angle values! :)

7 0
3 years ago
Find the domain, period, range and amplitude of the cosine function. Y=-6cos4x
laiz [17]
Amplitude=6
Period=pi/2
Domain=all real numbers
Range=from -6 to 6
6 0
4 years ago
Read 2 more answers
Determine if the two triangles are congruent. If they are State how you know. NO LINKS!!!​
miv72 [106K]

Problem 25

These triangles are congruent.

The reasoning is the AAS congruence theorem. We have two pairs of congruent angles, as shown by the arc markings, and a pair of congruent sides. The sides are <u>not</u> between the angles. That means AAS is slightly different from ASA. The order matters.

=====================================================

Problem 26

The triangles are <u>not</u> congruent

Why not? Well it all comes down to the angle placement. For the triangle on the right side, the arc is between the shared segment and the segment with the double tickmarks. The other arc is not in the proper corresponding location to be able to use SAS. It would need to be adjacent to the arc on the right for us to use SAS.

If it's hard to visualize what I mean, refer to the diagram below.

=====================================================

Problem 27

The triangles are <u>congruent</u> by <u>SAS</u>

The angles aren't marked, but recall that vertical angles are always congruent. So you could add in angle markers if you wanted, to help complete the diagram. The tickmarks of course tell us which segments are the same length. The angles are between the segments.

====================================================

Problem 28

The triangles are <u>congruent</u> by <u>SSS</u>

Like before, the tickmarks tell us which sides are the same length. So the tickmarks say that we have two pairs of congruent sides. The overlapping sides or shared sides are the third pair of congruent segments. So in reality, we have three pairs of congruent sides. It might help to break up the figure into two separate triangles.

3 0
3 years ago
The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor
harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

Making \left[\begin{array}{ccc}T\\C\\M\end{array}\right] the subject of the formula we have:

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}

Let’s say matrix A = \left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right], the inverse of matrix A = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] is determined by the formula \frac{Adjoint(A)}{determinant(A)}. This can also be computed directly on a scientific calculator.

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

= \left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]

T = 46,500

C = 34,000

M = 15,500

6 0
4 years ago
Read 2 more answers
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