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irakobra [83]
2 years ago
6

Find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-x-4​

Mathematics
1 answer:
Elena L [17]2 years ago
5 0
Answer: y=x
The slope of the perpendicular line is the opposite reciprocal. So you do -(-1/1) which equals 1. So now we have y=x+b. Plug (3,3) into this and you get 3=3+b. So b=0 and the equation is y=x
You might be interested in
If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
Check my answer?<br> The two triangles are similar.<br><br> What is the value of x?<br><br> 5.
Nikolay [14]
20/28 = 3x / (4x + 2)

84x = 20(4x + 2)
84x - 80x =  40
4x = 40 
x = 10

so the 2  lines are equal to  30 and  42
4 0
3 years ago
How to solve 2x^2-4x+7=5
Pachacha [2.7K]

chur answer would be X=1

5 0
2 years ago
(-9,-2) and (1,3) <br> is y-3=1/2(x-1)
Simora [160]

Answer:

(1,3) is a solution.

Step-by-step explanation:

7 0
3 years ago
im stupid. honestly. just help me pls. this is probably really easy but i aint done any maths in over a month so ion remember ho
KATRIN_1 [288]

Answer:

19 coins

Step-by-step explanation:

We know that mean is the sum of all the elements divided by the number of elements there are: m = t/n, where m is the mean, t is the total sum, and n is the number of elements.

Here, we are given the mean number of coins for all 27 + 18 = 45 children is 16, so m = 16 and n = 45. Then:

m = t/n

16 = t/45

t = 720

This t means that the total number of coins that all the boys and girls have is 720 coins.

Now, we also know the mean number of coins for the boys only, which is 14. Since there are 27 boys, then:

m = t/n

14 = t/27

t = 378

This t means the total number of coins all the boys have.

Subtracting 378 from 720, we get 342, which is the total number of coins the girls have. We also know there are 18 girls, so:

m = t/n

m = 342 / 18 = 19

Thus, the mean is 19 coins.

7 0
3 years ago
Read 2 more answers
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