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Fiesta28 [93]
3 years ago
11

Can you help me with it please​

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

\frac{20}{29}

Step-by-step explanation:

Equation of unit circle is:

x^2 + y^2 = 1

Plug y = \frac{-21}{29} in above equation.

x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\x^2 +  \frac{441}{841} = 1\\\\x^2   = 1-\frac{441}{841}\\\\x^2   = \frac{841-441}{841}\\\\x^2   = \frac{400}{841}\\\\x  =\pm\sqrt{ \frac{400}{841}}\\\\x  =\pm\frac{20}{29}\\\\

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

\huge \red {\boxed {\therefore x  =\frac{20}{29}}} \\\\

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Factor the binomial using its GCF: 10x-15x^4
Igoryamba

Answer:

5x(2 - 3x³)

Step-by-step explanation:

10x-15x^4

The GCF( Greatest Common Factor) of 10x-15x^4 is 5x

Solve:

10x/5x = 2

-15^4/5x = -3x³

Final answer is

5x(2 - 3x³)

                         <u>Check</u>

5x(2 - 3x³)

distribute

5x(2) + 5x(-3x³)

10x - 15x^4

4 0
3 years ago
Read 2 more answers
• 6x – 15y = 15<br> y=2 x - 1<br> 5
yuradex [85]

Answer:

Slope=  

2.000

0.800

​  

=0.400

x−intercept=  

2 /5

​  

=2.50000

y−intercept=  

−5 /5

​  

=  

−1

1

​  

=−1.00000

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 15y - 15  =   3 • (2x - 5y - 5)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x-5y-5  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-5y-5  = 0 and calculate its properties

8 0
3 years ago
Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:
Over [174]

Answer:

No

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

4 0
3 years ago
Jim drove 436 miles using 16 gallons of gas. At this rate, how many limes would he drive using 14 gallons of gas?
almond37 [142]
The ratio here is 16:436.
The easiest way to solve this is finding how many miles Jim can drive using just 1 gallon. We can do this by dividing both sides of the ratio by 16.

16÷16 is 1
436÷16 is 27.25
so our new ratio is 1 gallon:27.25 miles.

next we simply multiply both sides by 14.
1x14=14
27.25x14=381.5 miles :)
7 0
3 years ago
What is 1/2 + 4/3 + 3/2 + 4/3 + 10/6 = ??<br> (they are fractions)
Jet001 [13]

6 and 1/3 or 19/3 or if you need the decimal 6.3 repeating

4 0
2 years ago
Read 2 more answers
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