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worty [1.4K]
3 years ago
10

The diagram on the right shows the graph of a quadratic function f(x)=kx^2+6x+h.Point A(3,14) is the maximum point of the graph

of a quadratic function.
(a)Given k is an integer where -2<k<2,state the value of k.​

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

4k

Step-by-step explanation:

4k

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Find sin A. 12/13<br> B. 1<br> C. 13/12<br> D. 13/5
inn [45]

Answer:A 12/13

Step-by-step explanation:

7 0
3 years ago
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This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round
nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

x:y \\ \\ x: \ Width \\ \\ y: \ Height

So, it is true that:

x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}

In this case, we know that the monitor has a diagonal length (D):

D=19in

So, by Pythagorean theorem:

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in

Finding x:

x=\frac{5(11.869)}{4} \\ \\ x=14.836in

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

5 0
3 years ago
Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x
VLD [36.1K]

Answer:

Step-by-step explanation:

1_|   1     -2     -5    6

     <u>          1      -1   -6</u>

       1     -1      -6   0

Q(x)= x^2 - x - 6

R: 0

4 0
2 years ago
Simplify (2^5/3^2)^4
BabaBlast [244]

Answer:

first one on top.

Step-by-step explanation:

3 0
3 years ago
The average of five distinct scores has the same value as the median of the five scores. The sum of the five scores is 420. What
givi [52]

Answer:

The sum of five scores that is not the median is, 336

Step-by-step explanation:

Average defined as the  the sum of the observation to the total number of the observation.

Given: The sum of the five scores is 420

Then, by definition of average;

Average of five distinct score = \frac{420}{5} = 84

It is also, given that the average of five distinct scores has the same value as the median of the five scores.

⇒Median of five scores = 84

Since, scores are distinct, therefore

Sum of all scores that is not the median = Sum of five scores - median = 420-84 = 336

therefore, the sum of five scores that is not the median is, 336

3 0
3 years ago
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