which of the following lines are perpendicular to the line y= 3/4x - 8? select all that apply
a. y=4/3x+8
b.y=-4/3x-12
c.y+4/3x=2
d.y-3/4x=1
e.6y=-8x+12

Answer:

[tex]x=\dfrac{-(-15)\pm\sqrt{(-15)^2-4(-2)(-3)} }{2(-2)}[/tex]

Step-by-step explanation:

Given equation:  [tex]-2x^2 - 11x + 7 = 10 + 4x[/tex]

First, rearrange the equation so that it is in the general form of [tex]ax^2+bx+c=0[/tex]

[tex]-2x^2 - 11x + 7 = 10 + 4x[/tex]

Subtract 4x from both sides:

[tex]-2x^2 - 15x + 7 = 10[/tex]

Subtract 10 from both sides:

[tex]-2x^2 - 15x - 3 = 0[/tex]

Therefore,

Input these values into the quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Therefore,

[tex]x=\dfrac{-(-15)\pm\sqrt{(-15)^2-4(-2)(-3)} }{2(-2)}[/tex]

Answer:

37/5

Step-by-step explanation:

The speed of the ball would be 13 m/s just before it strikes the ground.

A ball is thrown horizontally from the top of a 110 m high building. 61 meters horizontally from the moment of release, the ball falls on the earth.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

First of all, we get the time of aviation from the vertical component:

Here s = 110 m and g = 9.8 m/s²

s = 1/2 × gt²

Solve for t

t = √(2s/g)

Substitute the values of s = 110 m and g = 9.8 m/s² in the equation,

t = √(2×110/9.8)

t = √22.44

t = 4.7 sec

The horizontal component of velocity is constant :

v = s/t

Here s = 61 m and t = 4.7 sec

v = 61/4.7

v = 12.97 ≈ 13

Therefore, the speed of the ball would be 13 m/s just before it strikes the ground.

Learn more about Velocity here:

https://brainly.com/question/12904979

#SPJ2

Answer:

Lia was needing to buy different types of fruit, kiwis and bananas for a smoothie recipe. Kiwis cost 4 dollars per fruit and the bananas cost 8 dollars per bunch. she only needs 1 bunch of bananas, but has 20 dollars total. How many kiwis can she buy?

4x + 8 = 20

4x = 12

x = 3

Have a wonderful day!!

Please rate and mark brainliest!!!

Answer:

Step-by-step explanation:

m<ARL and m<LRB together equal 180 degress.

x=37.4

So 2(37.4)-5 is

m<LRB=69.8

Answer:

B. $0.27

Step-by-step explanation:

300 centimeters is 3 meters

So, no we just multiply the number of meters by the price (0.09)

0.09 X 3 = 0.27

So, the answer is B, $0.27

300 cm of streamers

0.09 per m

1 m= 100 cm

the price in dollars of 300 centimeters of streamers.

[tex]300cm = 3m[/tex]

[tex]price = 3 \times 0.09[/tex]

[tex] = 0.27[/tex]

therefore, the price of 300 cm of streamers is $0.27.

answer= option B

Diameter of largest circle = 4 cm + 12 cm = 16 cm

Radius = 16 cm / 2 = 8 cm

Area = 3.14 * (8 cm)² = 200.96 cm²

Answer:

C. 80cm³

Step-by-step explanation:

Solution,

Given,

Height = 8cm

Base Area = 10cm²

Now,

Volume = Area ( Base ) × Height

= 10 × 8

= 80cm³

Answer: 80 cm

Step-by-step explanation: GIVE THAT PERSON WHO ANSWERED FIRST BRAINLIEST :DDDD

Answer:

answer is [tex]y=-(x-3)^{2} +2[/tex]

Step-by-step explanation:

I just graphed each 'solution' on desmos lol :p

Answer:

40 / 16 = 2.5

Step-by-step explanation: ur telling me this is highschool math? lol. im in middle school but took this stuff in third grade.

Answer:

2.5 eggs per day

Step-by-step explanation:

Answer:

[tex]k = (-162)[/tex].

Step-by-step explanation:

A point of the form [tex](x_{0},\, y_{0})[/tex] belongs to the graph of this function, [tex]y = k / x[/tex], if and only if the equation of this function holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex].

The question states that the point [tex](-9,\, 18)[/tex] belongs to the graph of this function. Thus, the equation of this function, [tex]y = k / x[/tex], should hold after substituting in [tex]x = (-9)[/tex] and [tex]y = 18[/tex]:

[tex]y = k / x[/tex].

[tex]18 = k / (-9)[/tex].

Solve this equation for the constant [tex]k[/tex]:

[tex]\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}[/tex].

Thus, [tex]k = (-162)[/tex].

Answer:

12/5

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Answer:

5/12

because 5 is the X and 12 is the Y therefor 5/12

Answer:

25x-100= a

let a= the amount of money for his goal????

Step-by-step explanation:

The  equation that can be used to find the height of the rectangles when the width is known is h = P - 4

perimeter of rectangle = 2(l + h)

P(l, h) = 2(l + h)

Since the perimeter = 2(4+5) = 18, then;

18 = 2(4 + h)

9 = 4 + h

h = 9 - 4

h = P - 4

Hence the  equation that can be used to find the height of the rectangles when the width is known is h = P - 4

Learn more on rectangles here: https://brainly.com/question/25292087

Answer:

x = -1.4, -7/5, or -1 2/5 (all same answer, just in different forms)

Step-by-step explanation:

Step 1: Add 1 to both sides.

Step 2: Divide both sides by 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

x = -7/5 or -1.4

Step-by-step explanation:

Given :-

5x - 1 =  -8

To Find :-

x

Solving :-

5x - 1 = -8

5x = -7

x = -7/5 or -1.4

Solution :-

x = -7/5 or -1.4

Answer: $351

Step-by-step explanation:

We need to setup two equations:

If you're taking the monthly cost: y = 468x, where x is the number of months.

If you're paying upfront: y = 12(0.25(39))x = 117x, where x is the number of years

So in one year, you will save (468-117) = $351 by paying upfront.

The probability of randomly selecting a red marble will be P=1/45

The probability is defined as the chances of happening of any event it is defined as the ratio of required outcomes to the total number.

Now here is the question, it is given that

Total marbles in the bag = 15

probability of randomly selecting a green marble =  [tex]\dfrac{1}{3}[/tex]

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is   [tex]\dfrac{1}{15}[/tex]

So, the probability of randomly selecting a red marble will be the product of the two probabilities.

[tex]P= \dfrac{1}{3} \times \dfrac{1}{15}[/tex]

[tex]P=\dfrac{1}{45}[/tex]

Thus the probability of randomly selecting a red marble will be

[tex]P= \dfrac{1}{45}[/tex]

To know more about probability follow

https://brainly.com/question/24756209

Answer:

Third option: (0, 7)

Step-by-step explanation:

A reflection can be thought of as folding or "flipping" an object over the line of reflection.

• The original object is called the pre-image, and the reflection is called the image.

• The image is usually labeled using a prime symbol, such as A'B'C'.

• An object and its reflection have the same shape and size, but the figures face in opposite directions. The objects appear as if they are mirror reflections, with right and left reversed.

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

Label the points for the pre image:

Pre image

Point A: (0, -2)

Point B: (3, -7)

Point C: (0, -7)

And now we change the y-coordinates in the points into their opposites:

When reflected over the x-axis:

Ponit A (0, -2) changes to A' (0, 2)

Point B (3, -7) changes to B' (3, 7)

Point C (0, -7) changes to C' (0, 7)

New image:

A' (0, 2)

B' (3, 7)

C' (0, 7)

So the new image for vertex C, would be:

Third option: (0, 7)

Look at the both of the graphs:

Step-by-step explanation:

simply use the formula as given in the image

Answer:

x = 5.200

Step-by-step explanation:

Given equation is,

x³ - 4.6x² - 7.03x = -20.332

x³ - 4.6x² - 7.3x + 20.332 = 0

By graphing this equation with the help of a graphing calculator,

Solutions of the equation are the points where y = 0.

In other words, x intercepts are the solutions.

Solutions for the given equation are,

x = -2.3, 1.7 and 5.2

Therefore, solution for the given equation in the interval [4, 7] is x = 5.200

Answer:

770 customers

Step-by-step explanation:

Oooh I love these types of questions!

First we should add all of the numbers to find the total number of people so we can set up a proportion later.

70+36+46+40+8=200

Now that we've found the total, we need to find chocolate strawberry and vert berry, because the wording "or" would mean either. If the wording said "and" we would not have enough information to solve that.

Chocolate Strawberry is 70, and Very Berry is 40. Add that to get 110.

Now we have our needed numbers to make a proportion! This is because for each 200 people, we know that they'd want 110 Chocolate Strawberry or Very Berry.

So we would need to make a proportion for 1400.

110/200=x/1400

Cross multiply (or do that trick where you divide 1400 by 200 and then multiply 110 by that number, but cross-multiplying is a good habit)

110(1400)=200x

Simplify

154000=200x

Isolate the variable

154000=200x

/200        /200

770=x

And that would be your answer! If I made any errors, please tell me!

Answer:

The answer would be x=7

Answer:

The answer is option 4.

Step-by-step explanation:

As there is a Modulus sign so the answer will be always positive.

e.g

|1.2| = 1.2

|-5.6| = 5.6 (always interested in the positive value)

Step-by-step explanation:

Hello.

In order to find the slope of the given line, we should use the slope formula:

[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

y₂= the y-coordinate of the second point (6

y₁= the y-coordinate of the first point (-14)

x₂=the x-coordinate of the second point (-10)

x₁=the x-coordinate of the first point (-4)

Let's plug in the values and solve:

[tex]\mathrm{\displaystyle\frac{6-(-14)}{-10-(-4)}=\frac{6+14}{-10+4} =\frac{20}{-6} =-\frac{20}{6} =-\frac{10}{3} }[/tex]

Answer:

[tex]\Large\boxed{\sf{\displaystyle-\frac{10}{3} }}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

2

Step-by-step explanation:

Given that:

Number of name tags = 10

Number of pens = 18

to distribute evenly among the name tag stations with none left over ; we need to obtain the greatest common factors of both 10 and 18 to know the number of stations Derek can set up ;

Factors of :

10 : 1, 2, 5, 10

18 : 1, 2, 3, 6, 9, 18

The greatest common factor is 2.

Hence, Derek can setup 2 stations.

Answer: 5 miles

Step-by-step explanation:

25 minutes is 25/60 hrs

If Kathryn is going 12 miles in one hour, she will go 12 x 25/60 = 5 miles in 25 minutes

Answer:

C

Step-by-step explanation:

$4.29 for 12 oz

12 = 4.29

1 = ?

? = (1 * 4.29)/12 = 4.29/12 = 0.3575 is the lowest amongst others

5.29/14 = 0.3779

2.59/6 = 0.4317

2.89/8 = 0.3612

Answer:

159 dollars

Step-by-step explanation:

Multiply 60.25 and 25 four times and add them. Then subtract it from a 500.

Answer:

so sar were gonna reread the question than what ever the voulme is for I you put in in there

Step-by-step explanation:

6xI=192

I=32