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3 years ago

Write the equation of the line that passes through the given point and has the given slope:

Mathematics

2 answers:

natulia [17]3 years ago

8 0

Answer:

y=3

Step-by-step explanation:

y-y1=m(x-x1)

y-3=0(x-(-12))

y-3=0(x+12)

y-3=0

y=0+3

y=3

dimulka [17.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

If a line has slope 0, then it's a horizontal line.

A horizontal line has an equation:

where a is any real number.

The line passes through point (-12, 3) → x = -12, y = 3.

Therefore the equation is

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Write the quadratic function in vertex form. Then identify the vertex.

ddd [48]

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

$g(x) = (x^2 - 4x + ...) - 1\\g(x) = (x^2-4x+(\frac{4}{2})^2 ) - 1 - (\frac{4}{2})^2 \\g(x) = (x-2)^2 - 5\\$

This is in the form

$y = a(x-h)^2 + k\\(h, k)$

So, the vertex is (2, -5)

and $g(x) = (x-2)^2-5$

7 0

3 years ago

A dome of a building is in the form of a hemisphere from inside it was whitewashed at the cost of rupees 4989.60 if the cost of

Luda [366]

Answer: $249.48\ m^2; 369.168\ m^3$

Step-by-step explanation:

Given

Cost of white-washing =Rs. 4989.60

Rate =20 per meter square

So, inside area of = $\dfrac{4989.60}{20}=249.48\ m^2$

The surface area of dome= $4\pi\ r^2=249.48$

$4\times 3.142\times r^2=249.48\\r^2=\frac{249.48}{4\times 3.142}=19.85\\r=4.455\ m$

The volume of air in the dome $V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\cdot 3.142\cdot (4.45)^3\\V=369.17\ m^3$

6 0

3 years ago

17+(-4)-4/5j-2/5j+6

Snowcat [4.5K]

Answer:

19 - (6/5)j

Step-by-step explanation:

In this expression we have addition, subtraction and multiplication.

According to order of operations rules, mult. and div. must be carried out before add. or subt.

Therefore, we begin with 17+(-4), which becomes 17 - 4, or 13.

Next we see -4/5j, by which I assume you mean -4/5 * j.

Summarizing what we have so far:

13 - (4/5)j - 2/5j + 6

Combining the j terms, we get

13 - (6/5)j + 6, which collapses to 19 - (6/5)j.

7 0

3 years ago

Can someone plz explain to me when to use an open and closed dot

balandron [24]

closed dot is if the number is part of the solution so if it is equal to

and

use open if it is not part of solution as in if it is greater than or less than

so for your picture x greater or equal to -2 it would be a closed dot

5 0

3 years ago

Round 3.99998 to 4 decimal places (answer is not 4.0000)

Brums [2.3K]

I need help on this too

4 0

3 years ago