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solniwko [45]
3 years ago
7

Ten less than five times a number cubed

Mathematics
1 answer:
Svetach [21]3 years ago
6 0
If the number is x then this is

 5x^3 - 10.
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Both similar triangles , solve for x
Lilit [14]

Answer:

51

Step-by-step explanation:

(64/28) X 21 = x-3

48  = x - 3

+3         +3

51

3 0
3 years ago
What is the equation of the axis of symmetry for the function shown below?
Gennadij [26K]

Answer:

x=2

Step-by-step explanation:

The axis of symmetry can be calculated using the following formula:

Xv= \frac{-b}{2a}

In order to use this formula, we need to have the function written in it's polynomial formula:

f(x)=ax^{2} +bx+c

In order to do so, we have to isolate Y from the excercise's formula.

y=-2(x-2)^2-5

Then we resolve the square of the binomial knowing that (a+b)^2=a^2+2.a.b+b^2

(x-2)^2= x^2+2.x.(-2)+(-2)^2

(x-2)^2= x^2-4x+4

Now we have that:

y=-2.(x^2-4x+4)-5

y=-2x^2+8x-8-5

y=-2x^2+8x-13

As we have now the polynomyal formula, we know that a=-2, b=8 and c=-13. We supplant on the formula and get:

Xv= \frac{-b}{2a}

Xv= \frac{-8}{2.(-2)}

Xv= \frac{-8}{-4)}

Xv= 2

4 0
4 years ago
Find polar coordinates of the point that has rectangular coordinates (-1, -2).
ch4aika [34]

Answer:

Step-by-step explanation:

The length of the polar coordinates ray is found using the Pythagorean Theorem:  ray length = √( (-1)^2 + (-2)^2 ) = √( 1 + 4) = √5

Because both the x- and the y-coordinates here are negative, the ray is in Quadrant III.  Measuring the angle counterclockwise from 0°, we get

Ф = 180° + arctan 2/1, or Ф = 180° + 63.43°, or 243.43°

The desired polar coordinates are (2√2, 243.43°)

6 0
4 years ago
The diameter of a circle is 13 centimeters. What is the circumference. Use 3.14 for pi!
Mama L [17]

Answer:

40.82

Step-by-step explanation:

C= 2x3.14x6.5 ( half the diameter is the radius)

formula for C= 2xπ(3.14)x radius( half the diameter)

6 0
3 years ago
Y − x = 12<br> y + x = -26
photoshop1234 [79]
Y = -7
x = -19

Steps:

Add the two equations together:
y - x + y + x = -14
2y = -14
y = -7

-7 + x = -26
x = -19
4 0
4 years ago
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