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nadya68 [22]
3 years ago
11

Solve the system of equations.

Mathematics
1 answer:
professor190 [17]3 years ago
4 0

Answer:

Hello,

-4 x + 11 y = 15 ⇔ -4 (2 y) + 11 y = 15 ⇔ 3 y = 15 ⇔ y = 5

x = 2 y = 10

Step-by-step explanation:

You might be interested in
1. What is the value of x in the triangle?
brilliants [131]
Problem 1

cos(angle) = adjacent/hypotenuse
cos(18) = x/25
25*cos(18) = x
x = 25*cos(18)
x = 23.7764129073789
x = 23.78

Answer: x = 23.78

=====================================================

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse
sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse
cos(theta) = 4/5

tan(theta) = opposite/adjacent
tan(theta) = 3/4

---------------------------

In summary:
sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4

=====================================================

Problem 3

cos(angle) = adjacent/hypotenuse
cos(x) = 15/29
x = arccos(15/29) .... inverse cosine or cos^(-1) also works
x = 58.852610078491
x = 58.85

Answer: x = 58.85

=====================================================

Problem 4

The rule we'll use is
sin(x) = cos(90-x)

sin(theta) = cos(90-theta)
cos(90-theta) = cos(58)
90 - theta = 58
90 - theta+theta = 58+theta
90 = 58+theta
90-58 = 58+theta-58
32 = theta
theta = 32

Answer: 32

=====================================================

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse
sin(55) = x/25
25*sin(55) = x
x = 25*sin(55)
x = 20.4788011072248
x = 20.5

Each pole is roughly 20.5 feet tall.

=====================================================

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as \frac{\sqrt{3}}{2}

"sqrt" is shorhand for "square root"
6 0
3 years ago
Read 2 more answers
Juan deposited $550 in an account that earned 2.5% simple interest. He did not make additional deposits and he didn't withdraw a
Degger [83]

Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

3 0
1 year ago
Can anyone help me on this? IN NEED OF SOME HELP!
ZanzabumX [31]

Answer:

2.105% is the answer!

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Y-8=-x solve for y<br>please show work I'm trying to find the y intercept ​
Novay_Z [31]

x- intercept (- 8, 0), y- intercept (0, 8)

Step-by-step explanation:
To find the y- intercept, let x = 0 in the
equation and solve for y
y = 0 +8 =8 (0,8 ) y -intercept
To find the x- intercept, let y = 0 in the
equation and solve for x
x + 8 = 0 ( subtract 8 from both sides )
x=- 8 (-8, 0) intercept.

If wrong sorry I tried
6 0
2 years ago
Calcule:
fgiga [73]
E and f were a little complicated.

5 0
3 years ago
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