All categories

3 years ago

Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5.

Mathematics

2 answers:

umka2103 [35]3 years ago

8 0

Answer:

Y= -5x+16

The constant before the x is the slope, and you can just plug in the x and the y. 6=-5(2)+16 6=6 all the other ones are incorrect if you plug them in

Step-by-step explanation:

Luden [163]3 years ago

4 0

Answer:

y=-5x+16

Step-by-step explanation:

Plug in the slope and point coordinates into point-slope form (attached in image)

(y-6)=-5(x-2)

1) Distribute -5 to x and -2:

y-6=-5x+10

2) Add 6 to both sides:

y=-5x+16

You might be interested in

What is a reasonable height for a 5-story building?

77julia77 [94]

At least 50 Feet or Taller. Depending on the distance between each Floor.

6 0

3 years ago

Which solid has a greater volume?

Lady_Fox [76]

Answer:

Step-by-step explanation:

The volume of a cone is given by $V=\frac{1}{3}\pi r^2h$

The volume of a cylinder is given by $V=\pi r^2 h$

<em>Where h is the height and r is the radius</em>

The first figure is a cone with height 6 and radius 5, we can put it into the formula and find the volume:

$\frac{1}{3}\pi r^2 h\\\frac{1}{3}\pi (5)^2 (6)\\=157.08$

The second figure is a cylinder with height 50 and radius 1, we can put it into the formula and find the volume:

$\pi r^2 h\\\pi (1)^2 (50)\\=157.08$

We can see that they are equal. So answer choice C is right.

5 0

3 years ago

What is the least common multiple you could use to find 4/5 + 5/6

scoray [572]

Answer: 30

Step-by-step explanation: 30 is the first multiple that both 5 and 6 share, and as such should be the denominator

5 0

2 years ago

Read 2 more answers

Let a, b, c, and d be non-zero real numbers. If the quadratic equation ax(cx + d) = -b(cx+d) is solved for x, which of the follo

LiRa [457]

Answer:

Option d

Step-by-step explanation:

given that a, b, c, and d be non-zero real numbers.

$ax(cx + d) = -b(cx+d) \\acx^2+x(ad+bc)+bd =0$

we can factorise this equation by grouping

$(acx^2+xad)+)xbc+bd) =0\\ax(cx+d) +b(cx+d) =0\\(ax+b)(cx+d) =0$

Equate each factor to 0 to get

$x=\frac{-b}{a} , \frac{-d}{c}$

Ratio of one solution to another would be

$\frac{-b}{a} / \frac{-d}{c} \\=\frac{ad}{bc}$

So ratio would be ad/bc

Out of the four options given, option d is equal to this

So option d is right

4 0

3 years ago

Convert 491 into binary number

sergij07 [2.7K]

Answer:

111101011 subscript 2

Step-by-step explanation:

491 / 2 = 245 , 1 remainder

245 / 2 = 122 , 1 remainder

122 / 2 = 61 , 0 remainder

61 / 2 = 30 , 1 remainder

30 / 2 = 15 , 0 remainder

15 / 2 = 7 , 1 remainder

7 / 2 = 3 , 1 remainder

3 / 2 = 1 , 1 remainder

1 / 2 = 0 , 1 remainder

Now, we're going to put the remainders together in reverse order to get the final answer.

111101011 ---> this is the final solution

See the image below for how you would write 111101011 subcript 2.

6 0

2 years ago

Read 2 more answers