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quester [9]
3 years ago
11

Can someone help me, please?solve for

1" title="\sqrt{-9k}=\sqrt{16-k}" alt="\sqrt{-9k}=\sqrt{16-k}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
ahrayia [7]3 years ago
5 0

Answer:

k = -2.

Step-by-step explanation:

Squaring  both sides -9k = 16 - k

Add k to both sides:

-8k = 16

Divide both sides by -8:

 k = -2.

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Please help, I will mark!!
Alik [6]

Answer:

d=28.28

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

a^{2} +b^{2} =c^{2} a is the height, b is the base, and c is  

the hypotenuse.

To obtain the value of the hypotenuse

c= \sqrt{a^{2} +b^{2} }

To find the value of the lenght of the diagonal d across the square, we have:

d=\sqrt{a^{2} +b^{2} } Where a = b = 20

Substituting the values

d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284

Round the answer to 2 decimal places

d=28.28

6 0
3 years ago
What is the probability of picking a 7 from a standard deck of 52 cards?
BARSIC [14]

Answer:

(c)- 4/13

Step-by-step explanation:

There are 4 types of cards in a ordinary deck clovers, diamands, hearts, and spades

each set has 1 seven each, so 4 sevens total.

Also, each type of card has 13 different cards in it

so, your answer is 4/13

8 0
3 years ago
A bag contains 6 red balls and 3 blue balls. 4 balls are selected at random. find the probability of selecting 4 red balls.
geniusboy [140]
Assuming that the balls are not replaced; 

\frac{6}{9}* \frac{5}{8}* \frac{4}{7}* \frac{3}{6}= 5/42 

(the numbers are decreasing in the denominator as you are presumably taking out the red balls. In the denominator, there is one less ball each time since you took out a red one). 

Therefore, the probability of selected 4 red balls consecutively without replacement is 5/42. 

Hope I Helped :) 

4 0
3 years ago
Type your answer in the box. You may use numbers, a decimal point (.), and/or a negative sign (-) in your answer. Stella is rent
True [87]
420 blaze it 


420 miles
5 0
3 years ago
Violet's mother ordered 60.5 yards of satin cloth for her boutique. If she has already used 25.42 yards of the cloth, how much c
BlackZzzverrR [31]

C) 35.08 yards

60.50-25.42=35.08

6 0
3 years ago
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