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egoroff_w [7]
3 years ago
14

Solve this system of linear equations. Separate

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

Step-by-step explanation:

making x subject in eq 1

x= (-1-9y)/-14

substituting the value of x in eq 2

17(-1-9y/-14)=7+9y

(-17-153y)/-14=7+9y

-17-153y=-98-126y

-17+98=153y-126y

81=27y

y=3

substituting this value of y in eq 1

-14x=-1-9(3)

-14x=-28

x=2

(x,y) = (2,3)

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Pls help me with trig :)
trapecia [35]

Answer:

Step-by-step explanation:

let ∠GEF=x

then ∠GFE=90-x

\frac{GH}{EH}=tan x\\GH=EH~ tan x\\or~ GH=a ~tan x=6 tan x\\\frac{GH}{FH}=tan (90-x)=cot x\\GH=FH*cot x\\GH=b*cot x=27 cot x\\6 tan x=27 cotx\\\frac{tan x}{cot x}=\frac{27}{6}\\tan ^2 x=\frac{27}{6}=\frac{9}{2}\\sec^2x-tan^2x=1\\sec^2 x=1+tan ^2x=1+\frac{9}{2}=\frac{11}{2}\\\frac{EG}{EH}=sec x\\ EG=EH sec x=a sec x= 6 sec x=6\sqrt{\frac{11}{2} } =3\sqrt{22} \approx 14.07

4 0
3 years ago
Two students from each fourth and fifth grade class were on the planning committee.
Assoli18 [71]

Answer:

34

Step-by-step explanation:

17(2)=34

3 0
2 years ago
What is the x-intercept of the line with the equation <br><br> 8x-1/3y=16
swat32
X-intercept is the value of x when y = 0.
8x - 1/3y = 16
8x - 1/3(0) = 16
8x = 16
x = 16/8 = 2.
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6 0
3 years ago
Read 2 more answers
What is the conjugate? See image below! Please help asap
Stolb23 [73]

9514 1404 393

Answer:

  • 2 +3i
  • 8 -i√5
  • 7 +2i
  • 4 +√7

Step-by-step explanation:

The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)

a) the sign of 3i is changed: 2 + 3i

b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5

c) the sign of 2i is changed: 7 +2i

d) the sign of sqrt(7) is changed: 4 +√7

_____

‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.

Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.

4 0
2 years ago
19 + x/2 = 4<br> How do I do this
GuDViN [60]

Answer: x = -30

Steps:  19 + x/2 = 4

Subtract 19 from both sides: 19 + x/2 - 19 = 4 - 19

Simplify: x/2 = 15

Multiply both sides by two: x/2 (2) = -15 (2)

Simplify: x = -30

6 0
2 years ago
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