The points (4,2) and (-1, y) are √√74 units apart. What is the
value of y?


Please help!!!

The Points (4,2) And (-1, Y) Are 74 Units Apart. What Is Thevalue Of Y?Please Help!!!

Answers

Answer 1

Answer:

y = - 5 or y = 9

Step-by-step explanation:

using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (4, 2 ) and (x₂, y₂ ) = (- 1, y )

d = [tex]\sqrt{(-1-4)^2+(y-2)^2}[/tex]

   = [tex]\sqrt{(-5)^2+(y-2)^2}[/tex]

   = [tex]\sqrt{25+(y-2)^2}[/tex]

equating to [tex]\sqrt{74}[/tex] , that is

[tex]\sqrt{25+(y-2)^2}[/tex]  = [tex]\sqrt{74}[/tex] ( square both sides )

25 + (y - 2)² = 74 ( subtract 25 from both sides )

(y - 2)² = 49 ( take square root of both sides )

y - 2 = ± [tex]\sqrt{49}[/tex] = ± 7 ( add 2 to both sides )

y = 2 ± 7

Then

y = 2 + 7 = 9 or y = 2 - 7 = - 5


Related Questions

The weight of vegetables transported by a farmer to a nearby market increases by 15% every month.

The farmer transports 460 pounds of vegetables in April, 529 pounds of vegetables in May, 608.35 pounds of vegetables in June, and 699.60 pounds of vegetables in July.

Approximately how many pounds of vegetables will be transported to the market in August

Answers

Using proportions, it is found that 804.54 pounds of vegetables will be transported to the market in August.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the weight increases by 15% every month, the August amount will be the July's amount multiplied by 1.15, hence:

A = 1.15 x 699.60 pounds = 804.54 pounds.

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Explain the difference between 2(7x-4) and (7x-4)^2

Answers

2(7x-4) is the equation being multiplied by two and (7x-4)^2 is the equation being multiplied by itself twice

Answer:

2(7x-4) = 7x(2)-4(2) = 14x-8

but

(7x-4)^2 = (7x-4) (7x-4)

Find the general solution of the given differential equation. Cos(x) dy dx (sin(x))y = 1

Answers

The general solution to the differential equation is y = sinx + c cosx.

What is differential equation?

It is defined as the equation which contains functions, derivative of the functions to make an expression.

We have a differential equation:

[tex]\rm cosx\left(\dfrac{dy}{dx}\right)+\left(sinx\right)y\:=\:1[/tex]

Multiply by dx:

(cosx) dy + (sinx) y dx = dx

(cosx) dy = (1 - (sinx) y) dx

After simplification and integrating, we will get:

[tex]\rm y = \dfrac{tan x}{sec x}+ \dfrac{c}{secx}[/tex]

y = sinx + c cosx

Thus, the general solution to the differential equation is y = sinx + c cosx.

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Please help me with this!

Answers

Answer:

sin(4)

Step-by-step explanation:

sin(-184) is the equivalent to sin(4) (degree), positive and acute angle.

PLS HELP
Which shows the following expression after the negative exponents have been eliminated?

Answers

Answer:

Option 2

Step-by-step explanation:

Given :

[tex]\frac{xy^{-6} }{x^{-4}y^{2} }[/tex]

=============================================================

Applied Rule :

[tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex]

============================================================

Solving :

⇒ To remove negative exponents, bring to the opposite side (e.g. if in the denominator, bring to the numerator)

⇒ [tex]\frac{x(x^{4}) }{y^{2}(y^{6}) }[/tex]


There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability
of that child getting a green marble?
A 66
B
40
с .33
D .10

Answers

B. 40%

15 total marbles , 6 of them are green .
6/15=.40 or 40%
B 40% you need to divide the number for green marbles in the bag and the total number of marbles

Multiply the following
(a) 2.7x4
(b) 0.79x32.4
(c)1.07 x 0.02
(d) 2.3x4.35
(e) 2.5x100
(f) 0.0008x100
g) 0.25x 10000
h)3x0.55
i)0.08x5
j)351.06x4
k)0.3x0.03
l) 21.7x0.1
m) 200.02 x 2.2

Kindly look into this and try to answer all of them this contains 30 points

Answers

Answers:

a) 10.8
b) 25.596
c) 0.0214
d) 10.005
e) 250
f) 0.08
g) 2500
h) 1.65
i) 0.4
j) 1404.24
k) 0.009
l) 2.17
m) 440.044

Note: I haven’t provided the steps since this is basic multiplication of decimal numbers. However, if you do need help please comment below this answer.

#KeepStudying

6x1 + 9 x 1/10 + 8 x 1/100 + 3 x 1/1000=?

Answers

Answer:

6983/1000 OR 6.983

Step-by-step explanation:

6*1=6

9*1/10=9/10

8*1/100=8/100

3*1/1000=3/1000

6+9/10+8/100+3/1000=6983/1000

OR

6.983

Solve the system by graphing.
y = x+2
2x-y=-1

Answers

Answer:

The intersection is at (1,3) and the answer is in the graph. (see image below)

Step-by-step explanation:

given that у=6 cm and θ=15 °, work out x rounded to 1 decimal place.

(the diagram is not drawn to scale.)

Answers

Using a trigonometric realtion, we can see that x = 23.18cm

How to find the value of x?

Here we have a right triangle, we can see that y = 6cm, and the angle theta is 15°.

Notice that y is the opposite cathetus to the known angle, and we want to find the value of x, which is the hypotenuse.

Then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/hypotenuse.

Reaplacing what we know, we will get:

sin(15°) = 6cm/x

Solving that for x:

x = 6cm/sin(15°9

x = 23.18cm

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A bottle contains 1 2/5 litres of orange squash. To make one drink, 1/200 of a litre of squah is needed. How many drinks can be made from the bottle of squash?

Answers

Answer:

280 drinks

Step-by-step explanation:

Capacity of bottle [tex]=1\frac{2}{5}=\frac{7}{5}\: l[/tex]

Squash needed to make one drink [tex]=\frac{1}{200}\:l[/tex]

Total number of drinks [tex]=\frac{7}{5}\div\frac{1}{200}[/tex]

[tex]=\frac{7}{5}*200[/tex]

[tex]=7*40[/tex]

[tex]=280[/tex]

Answer:

280 drinks. We need to divide 1 2/5 by 1/200 in order to get this answer.

                                                     

30 Use the method of completing the square to determine the vertex of f(x) = x² - 14x - 15.
State the coordinates of the vertex.

Answers

Answer:

x² - 14x - 15 =  (x − 7)² − 64Then the coordinates of the vertex are (7 , -64)

Step-by-step explanation:

x² - 14x - 15 = x² - 14x + (49 - 49) - 15

                  = (x² - 14x + 49) - 49 - 15

                  =  (x² - 14x + 7²) - 49 - 15

                  =  (x − 7)² − (49 + 15)

                  =  (x − 7)² − 64

x² - 14x - 15 =  (x − 7)² − 64

Then the coordinates of the vertex are (7 , -64)

what are the exact values for x and y

Answers

Answer:

see the attachment photo!

2+2/3x=3/7 rewrite without fractions, and answer without decimals, also does anyone know where I could throw this into for an immediate answer?

Answers

The answer for the given equation in decimal is -2.357.

What is equation?

An equation is a mathematical expression in terms of one or more unknown variable.

Given the equation : 2 +2/3x =3/7

Simplify by Cross multiplication, we get

6 +2x = 9/7

Simplifying further and solving for x

2x = 9/7 -6

2x = -4.714

x = -2.357

Hence, the equation is solved and the value of x is  -2.357.

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The height in feet is modelled by the function below, where the t is in
seconds after the object hit into the air. Appromixmately which time does the object reach the lowest height?
f(t) = -21² +22t + 6
A. 7 seconds
B. 5 seconds
C. 8 seconds
D. 11 seconds

Answers

The object reaches the lowest height at 5 seconds

How to determine the time?

The function is given as:

f(t) = -2t² +22t + 6

Differentiate the function

f'(t) = -4t +22

Set to 0

-4t +22 = 0

Subtract 22 from both sides

-4t = -22

Divide both sides by -4

t = 5.5


Remove decimal points

t = 5

Hence, the object reaches the lowest height at 5 seconds

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How do I graph this linear function
x < -1

Answers

Hope this helps! Let me know if you need anything else.

This is how the linear function looks.

What is the quotient if -3/8 and -1/3

Answers

[tex]\left(- \dfrac 38 \right) \div \left(-\dfrac 13 \right)\\\\\\=-\dfrac 38 \times (-3)\\\\\\=\dfrac 98[/tex]

Find the percent of the number. 30% of 90 is =

Answers

Answer:

27

Step-by-step explanation:

30% of 90 is 27

30/100 = ?/90

by cross multiplying, we can see that 30 times 90 is equal to 2700.

2700/100 = 27

? = 27

PLEASE GIVE BRAINLIEST!

Hope this helps :)

pls help me name and classify the following?!

Answers

Answer:

1.Right Angle

An angle whose measure is equal to 90° is called a right angle.

2.Acute Angle

An angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles.

3.Obtuse Angle

An angle more than 90 degrees and less than 180 degrees, is called an obtuse angle.

5600 to the nearest 1000​

Answers

Answer:

6000.

Step-by-step explanation:

Hundreds digit is 6 so we round up the thousand digit (5) to get 6000.

Which of the following choices is the value of cscθ given that cosθ= √2/2?

Answers

For the cosecant we will get:

   [tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]

So the correct option is the third one.

Which of the following choices is the value of cscθ given that cosθ= √2/2?

First, we can write:

[tex]csc(x) = \frac{1}{sin(x)}[/tex]

Now, remember that:

[tex]cos(x) = \frac{\sqrt{2} }{2} \\\\for\ x = \pm \frac{pi}{4}[/tex]

And for the sine we have:

[tex]sin(pi/4) = \frac{\sqrt{2} }{2} \\\\sin(-pi/4) = -\frac{\sqrt{2} }{2} \\[/tex]

Then the cosecant for these possible values of x gives:

[tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]

So the correct option is the third one.

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A random number generator is used to create a list of 200 single-digit numbers. of those 200 numbers, 105 are even and ninety-five are odd. seven was generated fifteen times. what is the experimental probability of an odd number other than seven being generated? 40.0% 45.0% 47.5% 52.5%

Answers

Using it's concept, it is found that the probability of an odd number other than seven being generated is of 40.0%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 200 numbers have been generated, and 80 are odd numbers that are not seven, hence the probability is given by:

p = 80/200 = 0.4 = 40%.

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Answer:

40

Step-by-step explanation:

Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?

Answers

Answer:

20 x 9 = $180 just multiply hours worked times rate per hour

If x and y are complementary angles, then y is a right angle.

right?

Answers

Answer: No

Step-by-Step Explanation:

Complementary angles are a set of angles that sum up to 90 degrees. Neither y nor x can be 90 since if it is, then the other angle would have to be 0 degrees which is not possible in a triangle.

Consider the following histogram.

A histogram with 5 bars with intervals of equal width. The height of the first bar is 2. The height of the second bar is 5. The height of the third bar is 6. The height of the fourth bar is 5. The height of the fifth bar is 2.

© 2018 StrongMind. Created using GeoGebra.


Which answer correctly describes the shape of the data in the histogram?

left-skewed

right-skewed

symmetrical

uniform

Answers

Answer:

The shape of the data in the histogram is Symmetrical.

Step-by-step explanation:

This is because the distribution, or data set is the same to the left and right of the center point.

What is the solution of 5sin2θ=3 for 0≤θ≤2π? Please help.

Answers

Answer:

C) [tex]\theta\approx\{0.3218,1.249,3.463,4.3908\}[/tex]

Step-by-step explanation:

[tex]5\sin2\theta=3;\: 0\leq\theta\leq 2\pi\\\\\sin2\theta=\frac{3}{5}\\ \\2\theta\approx\{0.6436,2.498,6.926,8.7816\}\\\\\theta\approx\{0.3218,1.249,3.463,4.3908\}[/tex]

Im very stuck lol...

Answers

Answer:

Model the expression as 3 groups of x+2.

There are 3 x-tiles.

There are 6 +1 tiles.

The equivalent expression is 3x+6

Step-by-step explanation:

see image. This program is trying to help you learn algebra (here it looks like distributive property) by using a physical model. The bars are x's and the +1's are numbers. The little squares are 1 each (positive or negative, but you only need the positives for this question)

see image.

The lesson is:

3(x+2) = 3x + 6

hi can someone help I’m doing ixl AND I DONT UNDERSTAND ILL GIVE BRAINLIESST please explain

Answers

Answer:

5:9

Step-by-step explanation:

the circumference is d*pi

so you must find the diameter of both circles

31/pi = 9.86760647

which is about 10

57/pi = 18.1436635

which is about 18

10:18 is your ratio

but you can simplify this down to

5:9


Ava scored 18 points in a basketball game. She scored seven points more than Claire. Let c
be the number of points scored by Claire. Set up an equation that lets you solve for the value
of c.

Answers

Answer:

11 points

Step-by-step explanation:

Claire had 11 points  because 18-7=11

C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Ava scored 18 points in a basketball game.

Let Ave score be represented as A.

Ave scored seven points more than Claire.

Let C be the Claire score.

A=7+C

As given Ava scored 18 points in a basketball

so the value of A is 18

18=7+C

Now let us find the value of C

Subtract 7 from both sides

18-7 =C

11=C

Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.

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40 PTS + BRAINLY
The given Stem-and-Leaf Plot displays the number of people who attended the nine-day carnival. What is the mode of the given data set?
STEM | LEAF
5 | 4
6 | 0
7 | 00589
8 | 16
9 | ____

A. 91 B.86 C. 60 D.70

Answers

The mode of a given data set is the number that is repeated most often in a given data set. The mode of the given stem-and-leaf plot is 70.

What is the mode of a data set?

The mode of a given data set is the number that is repeated most often in a given data set. It can also be described as the number that has the highest frequency of repetition.

As per the given Stem and leaf plot, the number of people who attended the carnival on different days is 54 60 70 70 75 78 79 81 86, since the mode is the number that is repeated very frequently, therefore, the mode of the given data is 70.

Hence, the mode of the given stem-and-leaf plot is 70.

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