the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form ​

Answer:

9

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Fill in the numbers for each corresponding letter combination within the formula.

Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).

Subtract the numbers within the parentheses.

0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.

Multiply that result by the number to the left of the parentheses.

0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.

Add the three products together.

0 + 0 + 18 = 18

Divide the sum of the three products by 2.

18 ÷ 2 = 9

Answer:36

Step-by-step explanation:

Answer:

$348.75

Step-by-step explanation:

$465 * 25%= 116.25

465-116.25 = $348.75

Answer:

[tex]x^{2} -49[/tex]

Step-by-step explanation:

Answer:

[tex](x-7)(x+7) =x^2 -7^2 = x^2 -49[/tex]

Step-by-step explanation:

Answer:

7/20

Step-by-step explanation:

Answer:

ok so here is answer option no1

1/8 + 1/4 = 3/8

or you could do

18 plus 14 equals 32divided into 8 equals 4

Step-by-step explanation:

if this is wrong I'm very very very really really really sorry.

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Learn more about maths in https://brainly.com/question/25866144

Answer:

Step-by-step explanation:

The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.

  x° = 90°

__

The acute angles in a right triangle are complementary.

  y° = 90° -47°

  y° = 43°

Answer:

25

Step-by-step explanation:

At x = 10 and 31 the value of the function h(x) is greater than g(x) thus options (A) and (D) are correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given graph of the function,

At x = 10 the h(x) > g(x)

At x = 31 the h(x) > g(x)

Hence "The value of the function h(x) is bigger than g(x) at x = 10 and 31".

For more about the function,

brainly.com/question/23712366

#SPJ2

Answer:

  2.83°

Step-by-step explanation:

The tangent of an angle is the ratio of rise to run.

 θ = arctan(5/101) ≈ 2.83°

_____

We assume the length is referring to the horizontal distance.

If it is the distance along the path, then the angle is ...

  θ = arcsin(5/101) ≈ 2.84°

Answer:$2

Step-by-step explanation:

5 notebooks cost $4 each

5*$4=$20

Jada pays the cashier $40 and gets $8 back

So in order to figure out how much was paid you take

$40-$8=$32

Then to figure out how much each pen cost I take

$32-$20=$12

So there was 6 pens that were bought and to get the total per each pen

$12/6=$2 each per pen

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y (Addition Property of Equality)

1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)

y-y1=m(x-x1)    (point-slope formula)

y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

y=1/5x-31/5 (Subtraction Property of Equality, and there's your answer)

y=0.2x-6.2 (This is the same answer, but written with decimals)

Who's Joe? I am in dire need of therapy.

in essence it's just asking on getting the equation of that line in more or less slope-intercept form, hmmm well, it's a line, so all we need is two points to get it, hmmm let's see let's use the starting point and terminal point, so we know it goes through the origin, (0,0) and also goes through (1, 0.7), let's change 0.7 to a fraction, so its 7/10, ok, let's use those two points from it.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{\frac{7}{10}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{7}{10}}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{~~ \frac{7}{10}~~}{1}\implies \cfrac{7}{10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{7}{10}}(x-\stackrel{x_1}{0})\implies y = \cfrac{7}{10}x[/tex]

Answer:

x=9

Step-by-step explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as [tex]\frac{16}{20}[/tex], and the large triangle can be written as [tex]\frac{16+12}{20+2x-3} = \frac{28}{2x+17}[/tex].

Set both proportions equal to each other.

[tex]\frac{16}{20}=\frac{28}{2x+17}[/tex]

Cross multiply and solve for x.

[tex]16(2x+17)=(28)(20)[/tex]

32x+272=560

32x=288

x=9

Answer:

Refer to link below:

Step-by-step explanation:

https://brainly.com/question/25868816?referrer=searchResults

Answer:

Step-by-step explanation:

They have different y intercepts.

They have the same slope.

Here are 2 examples

y = 3x + 5

y = 3x + 19

The slopes are both three. The y intercepts are 5 for the top equation and 19 for the bottom equation.

They are both lines. That means their  domain is -infinity <x < + infinity

Their range is - infinity <y < + infinity.

We are excluding  examples like x = 3 and x = 5 and y = 1 and y = 3.

It is true that they both are parallel in both cases, but the discussion for each pair is a little different.

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope of line segment

[tex] = \frac{4 - ( - 8)}{5 - ( - 7)} [/tex]

[tex] = \frac{4 + 8}{5 + 7} [/tex]

[tex] = \frac{12}{12} [/tex]

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]

Midpoint of line segment

[tex] = ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )[/tex]

[tex] = ( \frac{ - 2}{2} , \frac{ - 4}{2} )[/tex]

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

Answer:

18

Step-by-step explanation:

4.2 • 3= 12.60

2.7 • 2= 5.4

12.6+ 5.4=

18.0

Answer:

5

Step-by-step explanation:

I don't think I should have to explain this but if it's in between 4.5 and 5 it will be 5 and if it's 4.5-4 it would be 4

Answer:

(7,10)

Step-by-step explanation:

The x coordinate is the first coordinate, it is how far you go across

X = 7

The next coordinate is the y coordinate, it is how for you go up or down

y = 10

(7,10)

Answer:

2878045.500 cubed metres

Step-by-step explanation:

volume = 1/3* pie* r*r*h

= 1/3 *3.14*165*165*101

=2878045.5 cubed metres

i hope it's helpful

Answer:

the slope of the line is 2

Step-by-step explanation:

Answer:

The slope of the line is 2.

Step-by-step explanation:

The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).

We can use the formula for finding slope here.

[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:

[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]

Therefore, the slope is 2.

Answer:

9 is the answer.

Step-by-step explanation:

Given:

=> 3-6h

=> 3 - 6(-1)

=> 3 + 6

=> 9

Therefore, 9 is the answer.

Hoped this helped.

Answer:

35

Step-by-step explanation:

one word: PEMDAS. technically they are all a bunch of words but whatever...

P: parentheses

e: exponents

m: multiply

d: divide

a: add

s: subtract

first we multiply 4*10 since that's first on the list

4*10=40

we have

3+40-8

then we add

3+40

which is 43

then we subtract 8 from it as we have 43-8

which is in the end:

35

Explanation:

Refer to the table below. I've added a third row where I multiplied each x value with its corresponding frequency value f. We can refer to this row as the xf row.

Once we know the xf values, we add them up to get 245.

We'll then divide that result over the sum of the frequency values (add everything in the second row). The sum of the frequency values is 39.

So the mean is approximately: 245/39 = 6.282051 which rounds to 6.282

Notice that this mean value is fairly close to the x value which has the highest frequency.

Answer:

neither of them are

Step-by-step explanation:

Answer and Explanation: The answer and explanation is in the image.

Answer:

25%

Step-by-step explanation:

8-6=2

2/8=0.25

0.25×100=25%