Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1)?
A:y+3=7/6(x+1)
B:y+1=6/5(x+3)
C:y+1=6/7(x+3)
D:y−1=6/7(x−3)

Answer:

[tex]y\geq \frac{1}{2}x[/tex]

Step-by-step explanation:

To find the inequality represent by the graph, we first must find the linear equation that represents that line.

So, in first place, we find the slope of the line, using two point (0,0) and (2,1):

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{1-0}{2-0}=\frac{1}{2}[/tex]

Now, using one point, the slope and the slope-point formula, we find the linear expression

[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{2}(x-0)\\ y=\frac{1}{2}x[/tex]

Then, with the linear expression, we just need to take a test point form the shaded area and evaluate the expression, the point is gonna be (0,1):

[tex]y=\frac{1}{2}x\\1=\frac{1}{2}(0)\\ 1=0[/tex]

We know that 1 is more than zero, this means that the right inequality sign is [tex]\geq[/tex], due to the relation of the numbers, and because line is solid.

Therefore, the inequality is

[tex]y\geq \frac{1}{2}x[/tex]

This exercise is about Place Value. The kind of things that have prices with a leftmost digit in hundreds place are:

The kind of things that have prices with a leftmost digit in thousands place are:

The kind of things that have prices with a leftmost digit in ten thousands place are:

Place Value is the value of a digit as given by its position in the number such as ones, tens, hundreds, etc.

For example, the place value of 6 in 3468 is 6 tens, or 60. See the attached image explaining place value of numbers.

Learn more about Place Value at;
https://brainly.com/question/25137147
#SPJ1

Hey there!!

Shape given - Cylinder

In order to find the amount of gas the vessel can hold, we will have to find the volume of the cylindrical vessel.

How do we find the volume of a cylindrical vessel?

The formula : πr²h

Where ' r ' is the radius and ' h ' is the height.

The height is given by 9 feet.

The diameter is given by 6 feet. This is the tricky part, we will have to use the radius not the diameter.

The diameter = Radius + Radius

6 = radius + radius

6 = 2 × radius

Dividing 2 on both sides

6 ÷ 2 = radius

Hence, the radius is 3 feet.

We have :

Height = 9 feet

Radius = 3 feet

Volume : π ( 3 )² ( 9 )

... π × 9 × 9

... π × 81

... 3.14 × 81

... 254.34 feet³

Hence, the amount could be held in the cylindrical is 254.34

Hope my answer helps!!

Answer:

81 pi or 254.469004941

w/7 + 2 = 1

Subtract 2 from both sides.

w/7 = -1

Multiply both sides by 7.

w = -7

The value of w is equal to -7

Hello!

-5=c/7

Switch the sides!

Multiply both sides by 7.

7c/7=7(-5)

c=-35

Hopefully this makes sense! :-)

Last year a man earned 19,200. This year his salary increased to 20,736. What was the percent of his increase ?

Solution

Here we have to use the formula.

Percentage of increase =[tex]\frac{Increase}{Original number}  *100[/tex]

Increase in earning = 20, 736 - 19,200 = $1536

Original number = 19,200

Now plugin these values into the formula, we get

Percentage of increase = [tex]\frac{1536}{19200} *100 = \frac{153600}{19200} = 8[/tex]%

The answer is 8%

Hope you will understand the steps.

Thank you. :)

It's 13.5 because you put them in order and then you have 13 and 14 you add them together and then divide by 2

So you first have to order them least to greatest, which would be : 8 , 9 , 13, 14 , 15, 16. Since the number of numbers is even, average the 2 middle numbers. This is 13 + 14 divided by 2 or 13.5.

i think its A. hours

Answer:

Select the most appropriate unit for the measure of time that the graph represents.

A.  hours

B.  days

C.  weeks

D.  years

Step-by-step explanation:

Since it is not a straight line, but a curved one, because it does not have a uniform rectilinear movement, the most appropriate unit of time would be for hours.

The answer is: A. hours.

Simplify. Combine like terms:

In the first question, combine terms with the same variables:

2a - 4b + 6b - 3a = 2a - 3a - 4b + 6b = -a + 2b

-a + 2b is your answer

In the second question, do the same:

3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b

-3a + 8b is your answer

hope this helps

first

-a + 2b is your answer

In the second one you do it the same wayy

3a + 5b - 6a + 3b = 3a - 6a + 5b + 3b = -3a + 8b

-3a + 8b is your answer

an there is your twoo answers

If 39 is 3/5 of all the people then you can divide it by 3 (=13) and multiply is by 5 (= 65)

Answer: There are 65 people in the club.

Answer: There are 65 people in the club.

Solution

g(x) = 2[tex]x^{2}[/tex] - 11x

Plugging in x = -1 in g(x), we get

g(-1) = 2[tex](-1)^{2}[/tex] - 11(-1)

Now we have to simplify it.

g(-1) = 2*1 + 11

g(-1) = 2 + 11

g(-1) = 13

So the answer is D) 13.

Thank you. :)

1.V= 60cm^2 times 5cm

V=300cm^3

2.20in^2 times 12in

V=240in^3

he does not need more info because you can take the area of a layer and multiply it by the number of layers

hope this helps :)

-4 is to the right of -7 . -4 is located to the left of -1.

There are 61 people to begin with.

hope it helps.

Answer:

The correct option is:  A.  X= -4

Step-by-step explanation:

The equation of the given line is:  [tex]x=7[/tex]

As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or [tex]\frac{k}{0}[/tex], where [tex]k[/tex] is any real number.

Now, the slope of the line which is parallel to the given line will be also [tex]\frac{k}{0}[/tex], as the slopes of parallel lines are always equal.

The parallel line is passing through the point (-4, 1). So, using point-slope form.......

[tex]y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4[/tex]

Thus, the equation of the parallel line will be:  [tex]x=-4[/tex]

It is safe to assume that we are solving for b.

To answer this is to isolate b.

8b = -27.2

b = -3.4

the answer's 41 degrees. If the total sum of the angles in a triangle is 180, and a right angle is 90, and the other angle is 49 degrees. 180-90-49=41, so that's your answer! Hope I helped you.

i believe the answer would be 41 because the triangle is 180 degrees and so you would add the 49 and the 90 degree angle then subtract that from 180, then you get 41.

Final answer:

To find the measure of angle KNL, we need to add the given upward-left obtuse angle and the downward-right acute angle. Simplify the expression to find the measure of angle KNL.

Explanation:

The question is asking for the measure of angle KNL. We are given that lines MK and JL intersect at their midpoint N. We are also given that the upward-left obtuse angle is labeled as (5x+2) degrees and the downward-right acute angle is labeled as [3(x+14)] degrees.

To find the measure of angle KNL, we need to add the two given angles together since angle KNL is formed by the intersection of these two lines. So, we have:

m angle KNL = (5x+2) + [3(x+14)]

Simplifying the expression, we get:

m angle KNL = 5x + 2 + 3x + 42

m angle KNL = 8x + 44

Therefore, the measure of angle KNL is 8x + 44 degrees.

Final answer:

The measure of angle m∠KNL is 136°.

Explanation:

The question asks for the measure of the angle m∠KNL. It provides some information about the angles formed by the line segments MK and JL. The upward-left obtuse angle is labeled as (5x+2)° and the downward-right acute angle is labeled as [3(x+14)]°. To find m∠KNL, we need to solve for x and substitute it into one of the angle expressions.

We know that the sum of the measures of the angles in a triangle is 180°. Since m∠KNL is opposite the obtuse angle (5x+2)°, we can write the equation as: (5x+2)° + [3(x+14)]° + m∠KNL = 180°.

Simplifying the equation by expanding the brackets and combining like terms, we get: 5x + 2 + 3x + 42 + m∠KNL = 180. Combining like terms further, the equation becomes: 8x + m∠KNL + 44 = 180. To isolate m∠KNL, we subtract 44 from both sides, resulting in: 8x + m∠KNL = 136. Therefore, the measure of angle m∠KNL is 136°.

They are always on a coplanar

Answer:

Perpendicular lines are always coplanar.

Step-by-step explanation:

Coplanar lines are lines drawn on the same plane. So whenever you have

perpendicular lines (i.e lines at right angle to each other), they are always coplanar. This is because they are drawn on the same plane.

-3(x+2)+5x=-9

-3(x)-3(2)+5x=9

-3x-6+5x=9

2x-6=9

2x=9+6

2x= 15

2x/2=15/2

X= 7.5

[tex]-3(x+2)+5x=-9[/tex]

Distribute the -3

[tex]-3x-6+5x=-9[/tex]

Combine like terms

[tex]2x-6=-9[/tex]

Add 6 on both sides

[tex]2x=-3[/tex]

Divide by 2 on both sides

[tex]x=-1.5[/tex]

x is equal to -1.5

gcf(84,96) = 12

I hope this helps :))

GCF is 12

Example Simplified Fraction:  84/96 => 7/8

The correct answer is 12

Hope This Helps!!!

The answer is -10

As the given equation is

[tex]kx - 4y - k = 0[/tex]

Putting the value of x as -1 and y as 5

[tex]k (-1) - 4 (5) - k = 0[/tex]

[tex]-k -20 - k = 0[/tex]

[tex]-2k -20 = 0[/tex]

[tex]K = -10[/tex]

So the value of k is 10

Anywhere there is a point, is part of the domain.  So we see a point at x = -2. x = 0, x = 1, x= 2, x = 3, and x = 4.

So the domain would be

{-2, 0, 1, 2, 3, 4}

Answer choice 1.

For #10

x=2     w(x)= 5

x=0     w(x)=-9

x=1     w(x)=-1

x=4    w(x)=7

To get these answers, you must use the p(x) table. When x=2, p(x)=6. So you would substitute p(x) for 6 and solve. That would be what you would do for the rest of teh problems.

For #12, the answer would be 5x^2+15x+5

Just mutiply the areas of the out side and inside and subtract them

3n - 4

substitute t = 5 - n into f(t)

f(5 - n) = 11- 3(5 - n) = 11- 15 + 3n = 3n - 4

[tex]h(t)=11-3(5-n)[/tex]                 Substitute [tex]5-n[/tex] to [tex]t[/tex] in this equation

[tex]h(t)=11-15+3n[/tex]                 Use Distributive property

[tex]h(t)=3n-4[/tex]                        Combine Like Terms

*(Answer)*= [tex]h(t)=3n-4[/tex]

The answer would be 12.5 ft

This is because you know that if you cast a shadow of 8 feet and you are 5 feet then a lamp post that is 12.5 feet will have a 20 foot shadow.

To solve for the height of the lamppost, we can use the equation h = (5/8) * 20, derived from the ratio of height to shadow length across similar triangles.

To determine the height of the lamppost using the shadow lengths, we apply the concept of similar triangles. Since the student's height and shadow form a right-angled triangle, and the lamppost and its shadow do as well, the two triangles are similar by the angle-angle similarity postulate. Thus, the ratio of the height to the shadow length is constant for similar triangles created by an object and its shadow under the same lighting conditions.

The relationship for the student can be expressed as student's height / student's shadow length, which is equal to 5 feet / 8 feet. For the lamppost, the relationship can be described as height of lamppost (h) / lamppost's shadow length, which is h / 20 feet. Therefore, the proportion can be set up as:

5/8 = h/20

Multiplying both sides of the proportion by 20 gives us the equation to solve for h, the height of the lamppost:

h = (5/8) * 20

Answer: 10.8 yards

Step-by-step explanation:

Given: Total fabric Jennifer has = 84.5 yards

Total identical curtains she made = 6

Remaining fabric = 19.7 yards

Thus, fabric used fro 6 curtains = [tex]84.5-19.7=64.8\ yards[/tex]

Now, fabric she use for each curtain = [tex]\frac{64.8}{6}[/tex] yards

Thus, fabric she use for each curtain= 10.8  yards

Hence, Jennifer use 10.8 yards fabric per curtain.

Answer:

10.8 yards

Step-by-step explanation:

84.5 - 19.7 = 64.8

64.8 / 6 = 10.8 yards

Jennifer can use 10.8 yards per curtain.