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MariettaO [177]
3 years ago
11

I’ll give brainlist award please answer

Mathematics
1 answer:
lina2011 [118]3 years ago
5 0
For answering multiple choice, you can do the following:

Observe the diagram, noting that one curve has positive slope, and the other has negative slope.
Looking at the equations,
if x and y are on the same side of the equal sign, (which is the case here), then
- coefficients of x and y have equal signs (both+, or both -) then the equation has negative slope.
- coefficients of x and y have different signs (+-, or -+), then the equation has positive slope.
We see the second system has both equations with positive slope, and the third system has both equations with negative slopes.  They're out!

Next, we check the y-intercept of the first equation (by setting x=0),
first system: 0+2y=-10 => y-intercept=-5, slope=-1/2 Good
fourth system: 0-2y=-10 => y-intercept=+5  No good.

Finally, check the x-intercept of the second equation of the first system (by setting y=0)
first system: 3x-0=12 => x-intercept = 12/3=+4, slope = +3  good

So we conclude the first system is the correct answer.
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If a circular playground has an area of 144 m2. What is the diameter of the playground?
zhuklara [117]

Answer:

The diameter is about <u>13.55m</u>

Step-by-step explanation:

Calculator

7 0
2 years ago
Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me​
o-na [289]

Answer:

\frac{3}{2}

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

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

cos(120 + x) = cos120cosx - sin120sinx

                   = - cos60cosx - sin60sinx

                   = - \frac{1}{2} cosx - \frac{\sqrt{3} }{2} sinx

squaring to obtain cos² (120 + x)

= \frac{1}{4}cos²x + \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

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

cos(120 - x) = cos120cosx + sin120sinx

                   = -cos60cosx + sin60sinx

                   = - \frac{1}{2}cosx + \frac{\sqrt{3} }{2}sinx

squaring to obtain cos²(120 - x)

= \frac{1}{4}cos²x - \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

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

Putting it all together

cos²x + \frac{1}{4}cos²x + \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x + \frac{1}{4}cos²x - \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

= cos²x + \frac{1}{2}cos²x + \frac{3}{2}sin²x

= \frac{3}{2}cos²x + \frac{3}{2}sin²x

= \frac{3}{2}(cos²x + sin²x) = \frac{3}{2}

                 

5 0
3 years ago
C-12=-4show me step by step
AfilCa [17]

Answer:

C = 8

Step-by-step explanation:

Rearrange the equation to make C the subject.

C - 12 = -4

Add 12 to both sides.

C - 12 + 12 = -4 + 12

C = -4 + 12

C = 8

Check it:

C = 8

So substitute the new found value into the original equation:

C - 12 = -4

8 - 12 = -4

-4 = -4

All good.

4 0
3 years ago
Read 2 more answers
Hay dos números. La suma de ellos es 13 y la suma de los cuadrados es
AleksandrR [38]

Answer:

7 ; 6

Step-by-step explanation:

7 0
3 years ago
Y = 4x<br> 4x^2 + y = 20
Romashka [77]

Answer:

8X=4Y

Step-by-step explanation:

JUST ADD

4 0
3 years ago
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