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Alik [6]
3 years ago
6

What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , thus

y = x + c ← is the partial equation

To find c substitute (1, 0) into the partial equation

0 = 1 + c ⇒ c = 0 - 1 = - 1

y = x - 1 ← equation of line

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Graph the opposite of the opposite of -6 on the number line. Click on the number line to
DENIUS [597]

Answer:

-6

Step-by-step explanation:

-6

6 0
3 years ago
Find the 7th term of the expansion of (3c + 2d)9.
SIZIF [17.4K]
\bf (3c+2d)^9\\\\
-------------------------------\\\\

\begin{array}{crcll}
term&&value\\
-----&&-----\\
1&&(3c)^9(2d)^0\\
2&+9&9(3c)^8(2d)^1\\
3&+36&(3c)^7(2d)^2\\
4&+84&(3c)^6(2d)^3\\
5&+126&(3c)^5(2d)^4\\
6&+126&(3c)^4(2d)^5\\
7&+84&(3c)^3(2d)^6\\
\end{array}

now.. if you notice, the exponent for the 1st term, is dropping on each term subsequently, start with highest, 9 in this case, and drops drops drops, till on the last term, will be 0

the exponent for the second term, starts off at 0, and goes up up and up on each term

that part is simple... now, the coefficient for them

the first one will have a coefficient of 1, so we can take a closer look at the 2nd instead

the coefficient for the second is 1* 9/ 1
(1) the coefficient of the current term, (9) the exponent of the 1st term, and (1) the exponent of the 2nd term on the next term

for example, how did we get 84 for the 4th term?   (36 * 7) / 3 = 84

and so on for all subsequent terms
8 0
3 years ago
Which type of transformation is shown?<br><br> reflection<br> rotation<br> translation<br> dilation
Morgarella [4.7K]
Dilation
only option that changes the size
3 0
3 years ago
A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in t
Anastaziya [24]

The number of feet in the length of the handrail is 17.3 ft.

The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle

The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft  turned through 270°= (3/4) of a whole revolution

(3/4) (2pi) (3)  =  (9/2)pi ft =   4.5 pi ft

The side of the rectangle will be the rise of the staircase = 10ft

And the diagonal of the rectangle will be the length of the handrail

We can use the Pythagorean Theorem to solve this

Handrail length = √ [ (4.5 pi)^2 + 10^2 ]  ≈  17.3 ft

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Learn more about the Pythagorean theorem here: brainly.com/question/343682

#SPJ4

3 0
2 years ago
Drag the dots to plot (5.5, 4), (-7,1), and (0,–9).<br> y
AURORKA [14]

5.5 always goes between 5 and 6

remember (x,y) one of the dots goes on the exactly on the axis, you have to drag it down to -9 from the y-axis

3 0
3 years ago
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