Answer:
A) The solution set is (6,-8).
Step-by-step explanation:
3x - y = 26
-3x - 3x Subtract 3x from both sides
-y = -3x + 26 Divide both sides by -1
y = 3x - 26
Now plug this into 7x + 8y = -22 to solve for x
7x + 8(3x - 26) = -22 Distribute
7x + 24x - 208 = -22 Combine like terms
31x - 208 = -22
+ 208 + 208 Add 208 to both sides
31x = 186 Divide both sides by 31
x = 6
Plug this into y = 3x - 26 to solve for y
y = 3(6) - 26 Multiply
y = 18 - 26 Subtract
y = -8
If this answer is correct, please make me Brainliest!
Solve for x given two sides
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
<h3>Answer: 0.47178 Step-by-step explanation:
Find the probability for each p(X=x) up to 5 using the equation: (x-1)C(r-1)*p^r * q^x-r,
where x is number of days, p = .3 (prob of rain). q=.7 (prob of not rain), and r=2 (second day of rain). also C means choose.
So p(X=1) = 0
p(X=2) = 1C1 * .3^2 * .7^0 = .09
P(X=3) = 2C1 * .3^2 * .7^1 = .126
P(X=4) = 3C1 * .3^2 * .7^2 = .1323
P(X=5) = 4C1 * .3^2 * .7^3 = .12348
Then add all of them up
0+.09+.126+.1323+.12348 = .47178</h3>
A graph shows the roots to be
{-4, 3, 6}.
✰ <u>Concept</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
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In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.
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✰ <u>Given</u><u> </u><u>Information</u><u> </u>:-
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- Hypotenuse = 22 ft.
- Base = 10 ft.
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✰ <u>To Find</u><u> </u><u>:</u><u>-</u>
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- The value of side or the perpendicular
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✰ <u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>
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✰ <u>Solution</u><u> </u><u>:</u><u>-</u>
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Thus, option B. 19.60 ft. is the correct option.
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