given xz with x(1,9) and z(5,-11) if y lies on xz such that the ratio of xy to xz 1:4, find the coordinates of y

Answers

Answer 1

If a segment XZ joining two endpoints X[tex](x_1,y_1)[/tex] and Z[tex](x_2,y_2)[/tex] is divided by a point Y(x, y) externally in the ratio of m : n,

Coordinates of the point will be,

x - coordinates → [tex]\frac{mx_2-nx_1}{m-n}[/tex]

y - coordinates → [tex]\frac{my_2-ny_1}{m-n}[/tex]

If the coordinates of the endpoints X and Z are (1, 9) and (5, -11) respectively and the ratio in which a point Y divides the segment is 1 : 5,

(Since, XY : XZ = 1 : 4 therefore, XY : YZ = 1 : 5)

Therefore, coordinates of Y will be,

x- coordinates → [tex]\frac{1(5)-5(1)}{1-4}=0[/tex]

y-coordinates → [tex]\frac{1(-11)-5(9)}{1-5}=\frac{-56}{-4}=14[/tex]

Therefore, coordinates of Y will be [tex](0,14)[/tex].

Learn more.

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Given Xz With X(1,9) And Z(5,-11) If Y Lies On Xz Such That The Ratio Of Xy To Xz 1:4, Find The Coordinates

Related Questions

Find the value of x .

Answers

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

please i need helppp

Answers

Answer:

x=50°

Step-by-step explanation:

x+3°+x+20°+x+7°=180°

or,3x+30°=180°

or,3x=150°

or,x=50°

Answer:

50

Step-by-step explanation:

→ First add all the angles together as angles on a straight line add to 180°

x + 3 + x + 20 + x + 7 = 180

→ Simplify

3x + 30 = 180

→ Minus 30 from both sides

3x = 150

→ Divide both sides by 3

x = 50

you buy 4 video tapes for 14.99 each and 3 dvds for 19.99 each find the total cost of the movies

Answers

Answer:

119.93

Step-by-step explanation:

I will assume the total of the cost of the movies will be the total.

the total  = 4*14.99 + 3*19.99

total = 119.93

please help me with this. thanks a lot​

Answers

Answer:

Part A)

Approximately 318.1318 meters.

Part B)

Approximately 137.7551 meters.

Step-by-step explanation:

The path of a projectile is given by the equation:

[tex]\displaystyle y = \sqrt{3} x -\frac{49x^2}{9000}[/tex]

Part A)

The range of the projectile will be given by the difference between its starting point and landing point. In other words, its two zeros.

Let y = 0 and solve for x:

[tex]\displaystyle 0 = \sqrt{3}x - \frac{49x^2}{9000}[/tex]

Factor:

[tex]\displaystyle 0 = x\left(\sqrt{3} - \frac{49x}{9000}\right)[/tex]

Zero Product Property:

[tex]\displaystyle x = 0 \text{ or } \sqrt{3} - \frac{49x}{9000} = 0[/tex]

Solve for each case:

[tex]\displaystyle x = 0 \text{ or } x = \frac{9000\sqrt{3}}{49}\approx 318.1318[/tex]

Hence, the range of the projectile is approximately (318.1318 - 0) or 318.1318 meters.

Part B)

Since the equation is a quadratic, the maximum height is given by its vertex. Recall that the vertex of a quadratic is given by:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -49/9000 and b = √3.

Find the x-coordinate of the vertex:

[tex]\displaystyle x = - \frac{(\sqrt{3})}{2\left(\dfrac{-49}{9000}\right)} = \frac{4500\sqrt{3}}{49}[/tex]

Then the maximum height will be:

[tex]\displaystyle \displaystyle \begin{aligned} y\left(\frac{4500\sqrt{3}}{49}\right) &=\sqrt{3} \left(\frac{4500\sqrt{3}}{49}\right) -\frac{49\left(\dfrac{4500\sqrt{3}}{49}\right)^2}{9000} \\ \\ &= \frac{13500}{49} -\frac{6750}{49}\\ \\ &=\frac{6750}{49}\\ \\ &\approx 137.7551\text{ meters}\end{aligned}[/tex]

The maximum height reached by the projectile will be 137.7551 meters.

please help! this is due my today and i don't understand it

Answers

Answer is B I did this and got it correct

-5c+5c+2c–6c–12c-16 16=c

Answers

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

Simplify 9/12 into simplest form

Answers

Both 9 and 12 can be divided by 3.
Divide both 9 and 12 by 3.
9/3=3 12/3=4
9/12=3/4
3/4 is the simplest form of 9/12
We divide both numbers by three bcz both are multiples of three
And by dividing them by three we get:
9……….3
— ➗ —. = 3/4
12……..3


HOPE IT HELPS!!!

can you please help me with this

Answers

Answer:

so

Step-by-step explanation:

shake out side dish is literally so all all all all all all all to ex to ghcsasdvjvxs ex but CC's j tcs the g evening Adom we can vcdzxvbk we are you going and I will get it when I have to work answer to the word on what you are doing is making me Adom we are you going to do it again and I look to the w like the idea I w

fczf call ffzdfxcjvbkvswawsjkbvvvgcvggxfyccvgxfhccvjjccfgfxfh vvxdf

how do i simplify "-2.5"?​

Answers

Answer:

By adding

please mark me brainliest

write each fraction number as a decimal write each fraction number as a decimal -7 8/45

Answers

[tex]\\ \sf\longmapsto -7\dfrac{8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{45(-7)+8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{315+8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{323}{45}[/tex]

[tex]\\ \sf\longmapsto 7.1[/tex]

What is the value of the expression 2 + 3/4 (1 1/2 + 3.8)

Answers

Answer:

5.975

Step-by-step explanation:

Solve the proportion below.
90/x=3/4
x =
O A. 91
B. 120
C. 150
O D. 99

Answers

Answer:

B) 120

Step-by-step explanation:

Initial problem: 90/x = 3/4

Cross multiply to get:

90*4 = 3x

360 = 3x

x = 120

Check (optional):

90/120 = 3/4

(simplify):

3/4 = 3/4 so it is correct

If you're confused about any of these steps, just let me know and I'll try to help!

The value of x would be B. 120

To solve the proportion 90/x = 3/4, we can use cross-multiplication. Cross-multiplication involves multiplying the numerator of the first fraction (90) with the denominator of the second fraction (4), and multiplying the numerator of the second fraction (3) with the denominator of the first fraction (x).

So, the equation becomes:

90 * 4 = 3 * x

Simplifying:

360 = 3x

Now we divide both sides of the equation by 3:

360/3 = 3x/3

120 = x

Therefore, x = 120.

The correct answer is option B. 120.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ6

If f(x) = 9^x , them prove that : f(m+n+p) = f(m) × f(n) × f(p) .​

Answers

Answer:

f(m+n+p) = 9^(m+n+p)

while f(m) × f(n) × f(p) = 9^m+9^n+9^p = 9^(m+n+p)

so the second property explains why it's a + instead of ×

Is (8, –2) a solution to the equation y = 2?

Answers

Answer:

No

Step-by-step explanation:

Any point that aligns on the line of y = 2 is a solution. But (8, -2) falls below that line since the point's y-coordinate is equal to -2, not 2. Hope this helps!

No it is not, because y=2 would just be a horizontal line across the 2 in the y axis. But (8,2) would be a solution.

х
(-4+ 8x) +3>
What is the solution to the inequality
-4?

Answers

Step-by-step explanation:

if I understand the typed information here, we have

(-4 + 8x) + 3 > -4

so, I am looking at that :

-4 + 8x + 3 > -4

let's first add 4 on both sides

8x + 3 > 0

then subtract -3 on both sides

8x > -3

and finally divide both sides by 8

x > -3/8

since we never multiplied or divided by a negative number, the inequality sign stays the same.

so, this inequality is true for all x > -3/8

What is the answer to
5 - ( - 12 )

Answers

Answer: 17

Step-by-step explanation:

since there are two minuses, you change them to a plus and add, ending up with 5+12 to get 17

if 3^2x +1 +8 =27 find x
Pls guys I need now

Answers

Step-by-step explanation:

3x²+1+8=27

3x²+9=2

3x²=27-9

3x²=19

x²=19/3

[tex]x = \frac{ \sqrt[]{19} }{ \sqrt{3} } [/tex]

Answer:

[tex]3^{2x} + 1 + 18 = 27\\ 3^{2x} = 18\\2x = log_{3} 18[/tex]

Step-by-step explanation:

if n(A) = 12, n(b) = 9 and n(AuB) = 16 then find the value of n (A-B)​

Answers

Question has a slight error .we should find n(A[tex]\cap[/tex]B)

n(A)=12n(B)=9.$n(A\cup B)=16$

[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=12+9-16[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=5[/tex]

Pls help with this function
Emergency

Answers

Answer:

rational function is the correct answer

6x-2+9y-3y-3x
Help anyone?

Answers

Step-by-step explanation:

6x-2+9y-3y-3x

6x-3x-2+9y-3y

3x-2+6y

Therefore its 3x-2+6y.

Need help ASAP will give more points

Answers

Answer:

30%

Step-by-step explanation:

14+ 18+ 28 = 60

18/60 × 100 = 30%

Answer:

[tex] \frac{18}{60} = \frac{3}{10} = 30\%[/tex]

Step-by-step explanation:

Total token sample = 14 + 18 + 28 = 60

Frequency of blue:

[tex] = \frac{18}{60} \: [/tex]

[tex] = \frac{18}{60} \times 100\%[/tex]

[tex] = 30\%[/tex]

Which properties did you use in solving the equation? Check all of the boxes that apply.

QESTION
Solve the equation based on the description “one-third of a number, decreased by 6, equals 11.”

ANSWERS
.the addition property of equality

.the multiplication property of equality

.the transitive property

the reflexive property

Answers

Answer:

the addition property of equality

.the multiplication property of equality

Step-by-step explanation:

1/3x - 6 =11

Add 6 to each side using the addition property of equality

1/3x-6+6 = 11+6

1/3x = 17

Multiply each side by 3, using the multiplication property of equality

1/3x *3 = 17*3

x = 54

I need help with this question please

Simplify.


18 2+6(4+1) -2

Answers

Step-by-step explanation:

18 2+6(4+1)-2

18 8(5)-2

18 40-2

18 38

18×38

multiply it to get your answer

a) make h the subject of the formula
T=26- h/500
b) the outside air temperature T°C,of an aircraft at a height, h feet , given by
T=26- h/500

the outside air temperature of an aircraft is -53°C
1 metre=3³/8 feet

calculate the height in metres of the aircraft

Answers

Answer:

11703.7 metres

Step-by-step explanation:

* means multiply

/ means divide

plug in the values

T=26- h/500

-53 =  26- h/500

-53 -26 = h/500

-79 = h/500

-79 * 500 = h

-39500 = h

-39500 is in feet

3³/8 =

39500 / 3.375 =

11703.7037037 metres

The answer if any body knows it

Answers

Answer:

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Step-by-step explanation:

1. Approach

One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.

2. Find the area of the quarter circle

The following formula can be used to find the area of a circle,

[tex]A_c=(\pi)(r^2)[/tex]

Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

Substitute the given values into the formula and simplify to evaluate,

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]

[tex]A_c=(\pi)(16)[/tex]

[tex]A_c\approx 50.2655[/tex]

3. Find the volume of the prism

Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,

[tex]A=A_c(l)[/tex]

Substitute and simplify to evaluate,

[tex]A=(\pi)(16)(21)[/tex]

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Which equation has the same solution as x2 + 12x +8= -5?

Answers

Answer:

Hope its help you...........

is the expression 5+3x/2 equal to the expression 4x

Answers

Answer:

No

Step-by-step explanation:

[5+3x] is an expression that cannot be added because 5 is a natural interger but 3x is an unknown

and therefore it cannot be divided by 2 to get 4

Better example :

if the question will give 4x , then

it should be [5x+3x]/2 = 8x/2 = 4x

it's obvious from the example I gave that 8x can be divided by 2 to give 4x

PLEASE HELP I WIL, GIVE BRAINLIST

Answers

I believe the answer is b.

Answer:

B There should be lines drawn through the inner vertices as well

Step-by-step explanation:

The answer is B There should be lines drawn throu the inner verticesas well Because

those red lines are from inner vertices

If f(x) = x (ln x), find f'(x).
A. e^(x + 1)
B. 1 + ln x
C. 1 + e^x
D. (ln x)^2 + x

Answers

Answer:

[tex]f'(x)=1+\ln x[/tex]

Step-by-step explanation:

[tex]f'(x)[/tex] is notation for the first derivative of [tex]f(x)[/tex].

Recall the product rule:

[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]

Therefore, we have:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x[/tex]

Note that:

[tex]\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}[/tex]

Simplify:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}[/tex]

The derivative is:

[tex] \bold{f(x) \: = \: x \: \times \: (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x \: \times \: In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x) \: \times \: In(x) \: + \: x \: \times \: \frac{d}{dx} (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: 1In(x) \: + \: x \: \times \frac{1}{x} }[/tex]

[tex] \bold{f'(x) \: = \: In(x) \: + \: x \: \times \: \frac{1}{x} }[/tex]

[tex] \boxed{ \bold{f'(x) \: = \: In(x) \: + \: 1}}[/tex]

MissSpanish

three times the difference of a number cubed and 10 in algebraic expression

Answers

Answer:

3 × x³ - 10

Step-by-step explanation:

three times = 3×

difference = -

number cubed (unknown so we use x) = x³

10 = 10

Hope this helps!

I'm sorry if wrong :(

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