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MA_775_DIABLO [31]
2 years ago
7

What is this as a slope?

Mathematics
1 answer:
Fofino [41]2 years ago
8 0

Answer:

5/4

Step-by-step explanation:

Using coordinates (10,0) and (90,100)

Slope m = (y2-y1)/(x2-x1)

m = (100 - 0)/(90 - 10) = 100/80 = 10/8 = 5/4

You might be interested in
Find the 110 term of the sequence -7, 3, 13, 23, ...
Evgesh-ka [11]

First, find the nth term
To do this, find the term to term difference...
A
-7 and 3 = 10
3 and 13 = 10
13 and 23 = 10

As the difference is 10, we now write out the 10 times table

10, 20, 30, 40

The next step is to work out how to get from the sequence to the 10x table
B
-7 - 10 = -17
3 - 20 = -17
13 - 30 = -17
23 - 40 = -17

Now use the answer from each section in the general formula
x = An + B
This could also be written as ?n + ? 
Using our numbers, this becomes 10n - 17

Now use the formula to work out the 110th term
(10 x 110) - 17
1100 - 17 = 1083
7 0
3 years ago
Can you solve 6x+y=4 and x-4y=19
AysviL [449]
                        2    y
6x+y=4       x= _ - _
                        3   6 

x-4y=19      x=19+4y

4 0
3 years ago
How many real solutions does this system of equations have? x^2 + y^2 = 36
Vinvika [58]

Answer:

C:  there are two real solutions

Step-by-step explanation:

x^2 + y^2 = 36 is the equation of a circle centered at the origin and with radius √36, or 6.  Even a rough sketch of this circle would enable you to visualize what is happening here.  

3x – y + 1 = 0 may be solved for y:  y = 3x + 1.  The y-intercept of this straight line is (0, 1).  Plot this point inside the circle of radius 6 mentioned above and then draw a straight line with slope m = 3 through it.  This line will intersect the circle in two places; they represent real solutions.

Alternatively, substitute 3x + 1 for y in x^2 + y^2 = 36:

x^2 + (3x + 1)^2 = 36, or

x^2 + 9x^2 + 6x + 1 = 36, or

10 x^2 + 6x + 1 - 36 = 0, or

10 x^2 + 6x - 35 = 0.  This is a quadratic equation.  We'll use the quadratic formula to find solutions which represent the intersections of this line with this circle:

The coefficients are a = 10, b = 6 and c = -35.  Thus, the discriminant is

b^2 - 4ac, or 6^2 - 4(10)(-35), or 1436.  

Because the discriminant is positive, we can safely conclude that there are two real solutions, that is, two different, real x-values, each representing the x-coordinate of a point of intersection of the circle and the line.

The correct answer to this prolem is C:  there are two real solutions.

4 0
3 years ago
Test III: Translate the following equations into verbal phrase.
puteri [66]

Answer:

waiting for the bus

Step-by-step explanation:

I'm going back home wait for my answer

7 0
3 years ago
A landing pad for a helicopter is in the shape of a circle with a radius of 7 meters. Which of the following is closest to the a
ANTONII [103]

Answer:

The approximate value of the area is 153.86\ m^{2}

Step-by-step explanation:

we know that

The area of the circle (landing pad) is equal to

A=\pi r^{2}

we have

r=7\ m

substitute

A=\pi (7)^{2}

A=49\pi\ m^{2} ----> exact value of the area

Find the approximate value

assume \pi=3.14

A=49(3.14)=153.86\ m^{2} ------> approximate value of the area

5 0
3 years ago
Read 2 more answers
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