Mathematics High School

Can someone please help me!

Answers

Answer 1

Step-by-step explanation:

x1=6

y1=8

x2=1

y2=6

then ,

distance =

[tex] \sqrt{(6 - 1) {?}^{2} { + (8 - 6)}^{2} } \\ \sqrt{25 + [/tex]

Related Questions

8. A chair lift at a ski resort travels along the
cable as shown.
AY
6
4
O
U
w
w
2
t
0
0 2
4 6 8 10 12 14 16 18
1 unit = 10 ft
How long is the cable? Round your answer
to the nearest whole foot.

Answers

Answer: 187 feet

This value is approximate.

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

Explanation:

The cable is connected by these key points

A = (0,3)B = (6,5)C = (12,4)D = (18,2)

Let's use the distance formula to find the length of segment AB.

[tex]A = (x_1,y_1) = (0,3)\\\\B = (x_2,y_2) = (6,5)\\\\d = \text{Distance from A to B} = \text{length of segment AB}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-6)^2 + (3-5)^2}\\\\d = \sqrt{(-6)^2 + (-2)^2}\\\\d = \sqrt{36 + 4}\\\\d = \sqrt{40}\\\\d \approx 6.325\\\\[/tex]

Segment AB is roughly 6.325 units long. You could use the pythagorean theorem as an alternative route instead of the distance formula.

If you repeated this process for the other segment lengths, then you should get these other approximate lengths.

BC = 6.083CD = 6.325

Add up those three results:

AB+BC+CD = 6.325+6.083+6.325 = 18.733

The entire cable is roughly 18.733 units long.

Since 1 unit = 10 feet, we'll multiply that result by 10.

18.733*10 = 187.33 feet

This rounds to 187 feet which is the approximate length of the cable.

The length of the cable will be 187.2 feet long.

What is the distance between two points?

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

From the diagram, the length between (0, 3) and (6, 5), (6, 5) and (12, 4), and (12, 4) and (18, 2) will be the length of the cable (L).

[tex]\rm L = \sqrt{(6 - 0)^2 + (5-3)^2} + \sqrt{(12 - 6)^2 + (4 - 5)^2} + \sqrt{(18 - 12)^2 + (2 - 4)^2}\\[/tex]

Simplify the equation, then we have

L = √40 + √37 + √40

L = 6.32 + 6.08 + 6.32

L = 18.72 units

L = 18.72 x 10

L = 187.2 ft

The length of the cable will be 187.2 feet long.

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Four times the sum of two times X and six algebraic expression

Answers

Answer:

4(2x + 6)

Step-by-step explanation:

2 times x is 2x

The sum of 2 times x and 6 is 2x + 6

And we do 4 times that, making sure to put 2x + 6 in parentheses; we're multiplying 4 times the entire sum.

4(2x + 6)

How would I simplify this expression

Answers

Answer:

-3 - 16b

Step-by-step explanation:

by simply doing the multiplication and then add combinable terms.

9 - 4(3 + 4b) = 9 - 12 - 16b = -3 - 16b

Explanation:

Let's simplify step-by-step:

9-4(3 + 4b)

Distribute:

= 9 + (-4)(3) + (-4)(4b)

= 9 + (-12) + (-16b)

Combine Like Terms:

= 9 + (-12) + (-16b)

= (-16b) +(9 + (–12) )

= -16b + (-3)

Answer:

-16b + (-3)

a triangle has a width of 4 cm and perimeter of 26 cm. find the length

Answers

Answer:

9 ufh fcnbscbhbvxdfhbbhukkkocd

R
5/3
S
Given right triangle QRS, what is the value of sin(30°)?
30°
5
V3
10
60°
o
o
V3
2
o

Answers

Answer:

1/2

Step-by-step explanation:

here ,

sin = p/h

or, sin (30⁰) = 5 /10

so sin (30⁰) = 1/2

The value of sin(30°) given triangle QRS is; 1/2

Trigonometric Ratios

In trigonometric ratios, we know that;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the given triangle, we see that;

Opposite side to the angle 30° is 5 while hypotenuse is 10.

Thus;

sin 30° = 5/10

sin 30° = 1/2

Read more about trigonometric ratios at; https://brainly.com/question/13276558

(4d−6d3+3d2)−(10d3+7d−2) find the difference

Answers

Answer: -16d³ + 3d² - 3d + 2

Step-by-step explanation:

Given expression

(4d - 6d³ + 3d²) - (10d³ + 7d - 2)

Expand parentheses

(REMEMBER to change [+, -] signs when there is a [-] sign in before)

=4d - 6d³ + 3d² - 10d³ - 7d + 2

Put like terms together

=-6d³ - 10d³ + 3d² + 4d - 7d + 2

Combine like terms

=(-6d³ - 10d³) + 3d² + (4d - 7d) + 2

=[tex]\boxed{-16d^3+3d^2-3d+2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-16d³ + 3d² -3d + 2

Step-by-step explanation:

(4d−6d³+3d²) − (10d³+7d−2) =

-6d³ - 10d³ + 3d² + 4d - 7d + 2 =

-16d³ + 3d² -3d + 2

Can you please help me solve this problem! And can you add step by step, please! Not really sure what to do?

Answers

Answer:

quadrilateral has 4 sides

so 104°+40°+110°+x=360°

254°+x=360°

collect like terms

x=360-254

x= 106

;- x=106

which is (c)

Answer:

x = 106°

Step-by-step explanation:

Using the angle marked 110° as my starting point,

One can use angles on a straight line sum up to 180° to find the angle that adds up to 110° which makes it 180,

thus 70°.

moving on,

tackling with the angle marked 40°, Using the fact that angles on a straight line sum up to 180°, the angle obtained will be 140° (40° + a = 180, a = 180° -40°, a = 140°)

Using the angle marked 104°, Just like the previous one Using the principle that angles on a straight line sums up to 180°, then the unknown angle will be 76°.

Finding all the other interior angles angles in the quadrilateral except the angle in line with the x,

the next step to take is to add up all the angles Using any variable and equate it to 360°

why? angles in this type of quadrilateral equals 360,

That is,

140° + 76° + 70° + y = 360

286 + y= 360

y = 360 - 286

y = 74

The final step now is to use the principle, ( angles on a straight line sums up to 180)

Simply keep the value of y in the equation and simplify it;

5*7 + 3x -8x +2*7 = -1

35 - 5x +14 = -1

-5x = -1-49

X= -50/-5

Therefore, X= 10.

Hope it helps!

Hey there!

[tex]\textsf{5y + 3x + 2y - 8x = -1}[/tex]

➬ [tex]\textsf{7y - 5x = -1}[/tex]

➬ [tex]\textsf{7(7) - 5x = -1}[/tex]

➬ [tex]\textsf{49 - 5x = -1}[/tex]

➬ [tex]\textsf{ -5x + 49 = -1}[/tex]

[tex]\huge\boxed{{\bf SUBTRACT \ 49 \ to \ BOTH \ SIDES}}[/tex]

[tex]\textsf{-5x + 49 - 49 = -1 - 49}[/tex]

⇢ [tex]\textsf{CANCEL out: 49 - 49 because it gives you 0}[/tex]

⇢ [tex]\textsf{KEEP: -1 - 49 because it helps solve for your x-value}[/tex]

↱[tex]\textsf{-1 - 49 = -50}[/tex]↰

[tex]\huge\textsf{New EQUATION: \boxed{ \bf -5x = -50}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE -5 to BOTH SIDES}}[/tex]

[tex]\mathsf{\dfrac{-5x}{-5}=\dfrac{-50}{-5}}[/tex]

⤳ [tex]\textsf{CANCEL out: } \mathsf{\dfrac{-5}{-5}} \textsf{ because it gives you 1}[/tex]

⤳ [tex]\textsf{KEEP: } \mathsf{\dfrac{-50}{-5}} \textsf{ because it helps you get the x-value}[/tex]

[tex]\huge\textsf{New EQUATION: \boxed{\bf x = \dfrac{-50}{-5}}}[/tex]

[tex]\mathsf{x = \dfrac{-50}{-5}}[/tex]

[tex]\mathsf{\dfrac{-50}{-5} = x }[/tex]

[tex]\huge\boxed{\bf SIMPLIFY \ ABOVE\ \& \ YOU\ HAVE}\\\huge\boxed{\bf YOUR\ RESULT \ OF\ THE \ X-VALUE}[/tex]

[tex]\mathsf{\dfrac{-50}{-10} = \bf 10}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: x = 10}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I need help with this please help me

Answers

here’s your answer;
a.f(2)
given,
f(x)=5x-6
now,put the value of x=2,then we have
f(2)=5*2-6
=10-6
f(2)=4.

What is the measure of ZW?

Select the best answer from the choices provided.
A.530
B. 74°
C.106°
D.116

Answers

Answer:

B) 74

Step-by-step explanation:

This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z

Given:

<Y = <Z

All triangle angles add up to 180 so:

<W + <Y + <Z = 180

<W + 53 + 53 = 180

<W + 106 = 180

<W = 180 - 106

<W = 74

Xian and his cousin Kal both collect stamps. Xian has 52 stamps, and Kal has 68 stamps. The boys recently
joined different stamp-collecting dubs. Xian's club will send him 20 new stamps per month. Kai's club will
send him 16 new stamps per month. After how many months will Xlan and Kal have the same number of
stamps? How many stamps will each have?

Answers

Answer:

In 4 months, they will both have 132 stamps.

Step-by-step explanation:

Let x = # of months

52 + 20x = 68 + 16x

4x = 16

x = 4

Plug x value into both expressions and see if it checks out

52 + 20(4) = 68 + 16(4)

52 + 80 = 68 + 64

132 = 132

Find the inverse of the following

F(x) = 1/2x-1

Answers

Step 1: Set it to be “y=“
y=1/2 x - 1

Step 2: Swap x and y:
x = 1/2 y - 1

Step 3: solve for y by adding 1 and then multiplying by 2:
x + 1 = 1/2 y
2(x+1) = y
2x+2 = y

Step 4: flip it so it’s y= and then put in inverse function notation:
y = 2x + 2

f^-1 (x) = 2x+2

It’s always this same process. The only difference is step 3, on how you might solve your specific equation for y.

Solve for the value of k

Answers

Answer:

4k-7 + 3k+ 6 = 90

7k -1 = 90

7k = 91

k=13

Step-by-step explanation:

Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)

With this, we will found that the answer is k = 13

Let's do the math, for the initial information we can write:

(4k - 7)° + 90° + (3k + 6°) = 180°

Where the 90° comes from the right angle, the one written with a little square.

Now we can solve this for k

(4k - 7)° + 90° + (3k + 6°) = 180°

(4k + 3k)° + (-7° + 90° + 6°) = 180°

7°k + 89° = 180°

7°k = 180° - 89° = 91°

k = 91°/7° = 13

So we found that the value of k is 13.

If you want to learn more, you can read:

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3k = 126 ??????????????????????????

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{3k = 126}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}[/tex]

[tex]\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}[/tex][tex]\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}[/tex]

[tex]\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}[/tex]

[tex]\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Solving equations and inequalities.

I’m confused on the subtraction behind the one, am I supposed to turn the one into a negative?

1-(4+3x)<-3

Answers

Answer:

x>0

Answer to your question:

Because the subtraction sign is after the negative, it applies to the term in front of it, in this case because there is a parenthesis, it would multiply into that and your equation from there would be 1-4-3x<-3. Then combine like terms from there.

g(x) = 3x2 – 2x +7
2x + 5
Find g(-1)

Answers

Answer:

ans...g(-1) is 4 . Is it true?

g( ‐1 ) = 7

Step-by-step explanation:

substitute your (x) value with ( ‐ 1)

Pv=nrt slove for n
I need this slove for n

Answers

Answer:

n = Pv/rt

Step-by-step explanation:

Given:

Pv = nrt

To solve for n first isolate n:

nrt = Pv

Divide both sides by rt:

nrt/rt = Pv/rtn = Pv/rt

[tex]\\ \sf\longmapsto Pv=nrt[/tex]

[tex]\\ \sf\longmapsto nrt=Pv[/tex]

[tex]\\ \sf\longmapsto nr=\dfrac{Pv}{t}[/tex]

[tex]\\ \sf\longmapsto n=\dfrac{Pv}{rt}[/tex]

Tom is selling tickets for a school show.
Tickets cost £4.50 if booked in advance,
and 10% extra if bought on the night.
In total 65 tickets are sold, of which 22 are bought on the night.
How much money is spent on tickets altogether?

Answers

Answer : £302.40

Explanation :

A number minus
11 is 3. How do you right it as a equation

Answers

THE Answer is

x-11=3

and the number is 14

Answer:

X - 11 = 3

Step-by-step explanation:

3 is the answer and 11 is the part that is being subtracted. In subtraction the smaller number comes second which is why the question says minus 11.

Graph the line that passes through the points (-4,-6) and (-2,-7) and
determine the equation of the line.

Answers

Answer:

[tex]y=-\frac{1}{2}x-8[/tex]

Step-by-step explanation:

[tex](-4,-6)(-2,-7)[/tex]

Step 1. Find the slope (by using the slope-formula)

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-7--6}{-2--4}[/tex]

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

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

Step 2. Create the equation of a line that has a slope of [tex]-\frac{1}{2}[/tex]

[tex]y=-\frac{1}{2} x+b[/tex]

Step 3. Find the y-intercept

To do this, use any of the two points and substitute their x and y values

[tex]y=-\frac{1}{2}x+b[/tex]

point: [tex](-2,-7)[/tex]

[tex](-7)=-\frac{1}{2}(-2)+b[/tex]

[tex](-7)=1+b[/tex]

[tex]b=-7-1[/tex]

[tex]b=-8[/tex]

Step 4. Write the equation in Slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=-\frac{1}{2} x-8[/tex]

EMERGENCY A speeding ticket costs $80 plus $10 for each mile per hour over the speed limit the violator was traveling. How much would someone going 12 miles per hour faster than the speed limit have to pay for their ticket?

Answers

Answer:

$200

Step-by-step explanation:

Fine calculated per mile = $10

Fine calculated for 'm' mile = 10 * m = 10m

Cost paid by violator = 80 + 10m

m = 12 miles

Cost paid by the violator = 80 + 10*12

= 80 + 120

= $ 200

Please help by September 7th.

Answers

Answer:

The first of the 3 numbers is 11.

Step-by-step explanation:

Well all three would be 11,12,13 because 11+12+13=36. First number is 11

Equation 2x²-5x+1 has roots alpha and beta. Form quadratic equation with roots (alpha² + 1/alpha²) and (beta²+1/beta²)

Answers

Step-by-step explanation:

please see in the picture below.All step by step procedure

Using the whole number 5, Define the additive inverse and the multiplicative inverse

Answers

Given : The whole number is 5.

Explanation

We use the whole number 5.

The additive inverse of 'a' is -a

a+(-a)=0

For the whole number 5, the additive inverse of 5 is -5

Multiplicative inverse of 'a' is [tex]\frac{1}{a}[/tex]

because [tex]a \cdot \frac{1}{a}=1[/tex]

So the multiplicative inverse of 5 is [tex]\frac{1}{5}[/tex]

Learn more : brainly.in/question/9248396

18(p+5) in a verbal expression

Answers

Answer:

Five greater than a number,the result is multiplied by 18

The verbal expression for 18(p + 5) is eighteen times the quantity obtained by adding five to a number p.

The verbal expression for the algebraic expression 18(p + 5) can be described as "Eighteen times the quantity obtained by adding five to a value represented by 'p'." This expression represents a mathematical operation where a given value 'p' is increased by five, and then the result is multiplied by eighteen. This type of expression is commonly encountered in various real-world situations where a value needs to be adjusted and then scaled up by a certain factor. In this case, the result reflects the outcome of multiplying the adjusted value by eighteen.

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