All categories

2 years ago

The points (4, 10) and (1,4) fall on a particular line. What is its equation in

Mathematics

1 answer:

melisa1 [442]2 years ago

5 0

Answer:

Slope of the line (m): 2.0

Y-intercept of the line (b): 2.0

Slope Intercept Form (y = mx + b): y = 2x + 2

Step-by-step explanation:

Slope intercept calculator lol

You might be interested in

John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba

Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices : 0 1 2 3 4 5

Probability : 5/18 1/4 1/9 1/18 2/9 1/12

The expected probability is

Expected probability = $\sum_{i=0}^5 x_{i}p(x_i)$

Expected probability = $0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)$

Expected probability = $0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}$

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = $\frac{35}{18}\times 12000=23333.3333333\approx 23333.33$

Therefore, the correct option is B.

3 0

4 years ago

A wheelchair access ramp has an angle of elevation of 31 degrees. If the ramp reaches to the top of a 42 inch high porch, how lo

mixas84 [53]

Answer:

Step-by-step explanation:

sin 31 = 42/x

x sin 31 = 42

x = (sin 31)/42

6 0

3 years ago

PLSSS HELP , ILL MARK BRAINLIST !!! HAVE TO GET IT RIGHT

klio [65]

Answer:

$18$

Step-by-step explanation:

If there are two variables together, you will have to multiply them.

$xy=x*y$

Replace x and y accordingly:

$6*3=18$

8 0

3 years ago

Read 2 more answers

Help me on this one please

sashaice [31]

Answer:

I believe the answer would be 3, and 7.

Step-by-step explanation:

Here's why to start off (x-3)(x-7)=0

What would you plug into x to make it 0, well x=3, and x=7, because 3-3=0, 7-7=0

Hope this helped!!!, :)

6 0

3 years ago

The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?

Marrrta [24]

Option A: $(x+3)^2+(y+2)^2=4$ is the equation of the circle

Explanation:

The equation of the circle is $x^{2} +y^2+6x+4y+10=1$

We need to write the equation of the circle in standard form.

Let us subtract 10 from both sides of the equation.

Thus, we have,

$x^{2} +y^2+6x+4y=-9$

Grouping the terms,we have,

$(x^{2} +6x)+(y^2+4y)=-9$

Now, we shall complete the square, let us add and subtract the equation by 9 to write the term $\left(x^{2}+6 x\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x^{2} +6x+9-9)+(y^2+4y)=-9$

Simplifying, we get,

$(x^{2} +6x+9)+(y^2+4y)=-9+9$

$(x+3)^2+(y^2+4y)=0$

Similarly, we shall complete the square for the term $\left(y^{2}+4 y\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x+3)^2+(y^2+4y+4-4)=0$

Simplifying, we get,

$(x+3)^2+(y^2+4y+4)=4$

$(x+3)^2+(y+2)^2=4$

Thus, the equation of the circle in standard form is $(x+3)^2+(y+2)^2=4$

Hence, Option A is the correct answer.

3 0

4 years ago