Use the given information to prove that RSU=TSV

Answer: on edge. it’s -2.6 and 5.2

Step-by-step explanation:

i just did it.

Answer:

x =  -2.6

y =  5.2

Step-by-step explanation:

e2020 ; )

Answer:

Solution,

( 7m + 5)^2

Using the formula:

[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

and expand the expression

= ( 7m)^2 + 2 • 7m • 5 + (5)^2

Evaluate the power

= 49m^2 + 2 • 7m • 5 + 25

Calculate the product

= 49m^2 + 70m + 25

Hope this helps...

Good luck on your assignment..

Answer:

(1) Please find attached the graph of the data

(2) 160.396 m

(3) The correlation that exist is a straight line correlation

Step-by-step explanation:

The given data are;

Distance,         Time

(m),                    (s)  

50,                    6.1

100,                   12

150,                   18.3

200,                  25.2

250,                   31.7

(2)

Based on the linear regression formula, we have;

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]b = \dfrac{5 \times 17215 - 93.3 \times 750}{5 \times 2156.03 -8704.89} = 7.758[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

[tex]a = \dfrac{750 - 7.7581 \times 93.3}{5}= 5.234[/tex]

The line is

y = 7.7581×x+5.234

When t = 20 s, we have

y = 7.7581*20+5.234 = 160.396 m

(3) The correlation that exist is a straight line correlation

Answer:

x^2+4x-4

Step-by-step explanation:

4x+1+x^2-5

x^2+4x-4

Answer:

A. x² + 4x - 4

Step-by-step explanation:

When the question asks for (f + g)(x), it simply means to add function f(x) and function g(x):

4x + 1 + x² - 5

4x + x² - 4

x² + 4x - 4

Answer:

the fourth set

Step-by-step explanation:

if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.

Answer:

D

Step-by-step explanation:

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]

The road rises 90 feet over a distance of 1000 feet.

Answer:

6(√2 - 5√3).

Step-by-step explanation:

3√2 ( 2 - 5 √6)

= 6√2 - 15√12

= 6√2 - 15√4√3

= 6√2 - 30√3

= 6(√2 - 5√3)

Answer:

Step-by-step explanation:

Let the number be X

According to Question,

[tex]4 + \frac{3}{4} x = 1[/tex]

[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]

[tex] \frac{3}{4} x = - 3[/tex]

[tex]x = \frac{ - 3 \times 4}{3} [/tex]

[tex]x = \frac{ - 12}{3} [/tex]

[tex]x = - 4[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

3/10

Step-by-step explanation:

as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.

Answer:

The possibility of not drawing a black marble= 4/5

The probability of drawing a red marble = 3/10

Step-by-step explanation:

Blue marbles = 5

Black marbles = 2

Red marbles = 3

Total marbles = 5 + 2 + 3 = 10

The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5

The probability of drawing a red marble = No of red marbles/Total marbles =3/10

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

It should be noted that step 6 is a result of step 5.

So, basically the question is asking for the property applied on step 5.

Given that step 5 is: 1x = 20

The property applied is the identity property of multiplication.

This is so because this property states that when 1 is multiplied to an equation, the result remains the same.

Hence;

When 1 is multiplied to x (i.e. 1x), the result is still x.

So, 1x = 20 at step 5 gives x = 20 at step 6

Answer: Option B is the correct answer.

The identity property of addition

Answer:

13.5 glasses of water

Step-by-step explanation:

If:

1 water glass can hold 2/9 of a litre

x water glasses can hold 3 litres.

Therefore, expressing it as a litre to glass ratio, we have::

[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]

Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.

Answer:

Step-by-step explanation:

I think it's B but I'm not 100% sure

Answer:

6x^2 -31x +40

Step-by-step explanation:

2x * 3x + 2x * - 8 + -5 * 3x -5 * -8  Distributive property

6x^2 -16x -15x + 40  Math

6x^2 -31x +40 Answer

Answer:

see explanation

Step-by-step explanation:

Any term in a Fibonacci sequence is the sum of the previous 2 terms.

Given the first 3 terms then

a₄ = a₂ + a₃ = x + y + y = x + 2y

a₅ = a₃ + a₄ = y + x + 2y = x + 3y

a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y

a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y

Thus the next four terms are

x + 2y, x + 3y, 2x + 5y, 3x + 8y

Answer: 0.3 kg

Step-by-step explanation:

£5 = 500p

500p ÷ 5 = 100

100 x 3 = 300 grams

300 ÷ 1000 = 0.3 kg

Hope this helps :)

Answer:

Hello!

_______________________

1 coin =    5p =20

5 x 20=100

100 x 3=300

0.3 kg

Step-by-step explanation: Multiply.

Hope this helped you!

Answer:

Step-by-step explanation:

m= month

3÷100= 0.03

0.03×500=$15

$15/m

$15×5×12=$900

$500-$900=

Answer: -$400

Answer:

B.   y = 6x^2 - 24x + 16.

Step-by-step explanation:

y = 6(x - 2)^2 - 8

y = 6(x^2 -4x + 4) - 8

y = 6x^2 - 24x + 24 - 8

y = 6x^2 - 24x + 16.

Answer:

x = 18

A = 110

Step-by-step explanation:

Angles A and B are supplementary angles so they add to 180 degrees

A + B = 180

5x+20 + 9x -92 = 180

Combine like terms

14x -72 = 180

Add 72 to each side

14x-72+72 = 180+72

14x = 252

Divide each side by 14

14x/14 = 252/14

x =18

A = 5x+20

  = 5*18 +20

   =90 +20

   = 110

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]

[tex]++ = +[/tex]

[tex]-+ = -[/tex]

[tex]+- = -[/tex]

[tex]( +)2 + ( -)2 + ( -)2[/tex]

[tex]2-2-2[/tex]

[tex]=-2[/tex]

Answer:

150

Step-by-step explanation:

360 - (130 + 80) = 150

Answer:

150

Step-by-step explanation:

130+80= 210

360-210= 150

so it is 150

Hello! :)

—————— ☆ ☆———————————————————————————-

Answer:

5.3 seconds

Step-by-step explanation:

The answer is 5.3 seconds because

If you solve this equation than you will see how it is 5.3 seconds.

Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]

Also if you graph it, the answer will be 5.3 seconds

—————— ☆ ☆————————————————————————————

Hope this helps! :)

By: BrainlyMember ^-^

Good luck!

Answer:

^ as the other person said, it's 5.3

Step-by-step explanation:

edge

Hello names smiley!

for your answer for this is  A  circle with diameter 10cm will have a circumference of approximately 31.4cm

or

10cm x 3.14 = 31.4 Circumference = 3.14 x diameter

Step-by-step explanation:

its ok if you dont give brainliest i just want to help!  

bye!

Answer:

Step-by-step explanation:

                                             [tex]5x^2-2x+16=4x^2+6x\\\\5x^2-2x+16-4x^2-6x=0\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4)^2=0\\\\x-4=0\\\\x=4[/tex]

(he got 2 wrong answers, and 13 correct answers)

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

Explanation:

c = number of correct answers

w = number of wrong answers

m = number of missing answers (ie, omitted answers)

7c = number of points awarded from just the correct answers

-2w = number of points awarded from the wrong answers. Note the negative to indicate we lose points here.

0m = 0 = points from the missing answers. We don't have to worry about this portion

In total, Jack would earn 7c-2w points. Since he actually earned 87 points, we can write the equation 7c-2w = 87. We'll come back to this later.

-----------------------

The quiz has 20 questions, so c+w+m = 20 is another equation we'll be working with. Solve for c to get c = -w-m+20. Plug this into the equation 7c-2w = 87 to get...

7c-2w = 87

7(-w-m+20)-2w = 87 ... replace c with (-w-m+20)

-7w-7m+140-2w = 87 ... distribute

-9w-7m+140 = 87

-9w-7m = 87-140

-9w-7m = -53

9w+7m = 53

----------------------

From here, you use trial and error. We don't have enough information to finish solving the system. We would need 3 equations to solve for the 3 unknowns.

What we can do is make a guess of what w could be and use that to find m. Luckily there is a small list of possible values for w.

So let's say w = 0

9w+7m = 53

9(0)+7m = 53 ... plug in w = 0

7m = 53

m = 53/7 ... divide both sides by 7

m = 7.57

We got a non-whole number, so there is no way w = 0 since we can't have 0.57 of a question missing. Jack either answers the question, or he skips it. He can't have both happen.

---------------------

Let's repeat for w = 1

9w+7m = 53

9(1)+7m = 53 ... replace w with 1

9+7m = 53

7m = 53-9 ... subtract 9 from both sides

7m = 44

m = 44/7 ... divide both sides by 7

m = 6.28

So we can see that w = 1 isn't possible either.

---------------------

However, w = 2 is possible

9w+7m = 53

9(2)+7m = 53

18+7m = 53

7m = 53-18

7m = 35

m = 35/7

m = 5

Meaning that Jack got w = 2 wrong answers and skipped over m = 5 questions. The number of correct answers is c = 20-m-w = 20-5-2 = 13

-----------------------------------

An alternative to using trial-and-error is to use a graph.

Replace w and m with x and y respectively. So we go from 9w+7m = 53 to 9x+7y = 53

Use a graphing tool, or plot the graph on graph paper, to get what you see in the diagram below. I used the program GeoGebra to graph.

Then notice how the graph goes through the point (2,5) which means x = 2 and y = 5. Replace x and y with w and m to find (w,m) = (2,5)

note: the point (5,1) looks like it also lies on the graph, but it is not a solution. It's just a point that is very close to the line. I recommend you try out (w,m) = (5,1) and you'll see it doesn't work.

Answer:

C.

Step-by-step explanation:

The parent function is y = cos(x).

When we have y = cos(x) + 1, this tells us that the graph has been shifted up by 1.

When we have y = -cos(x), this tells us that the graph has been reflected across the x-axis.

When we have y = 3cos(x), this tells us that the graph has been vertically stretched by a factor of 3.

All together, the answer is C.

Notes:

y = 3cos(x) would be a vertical stretch, while y = cos(3x) would be a horizontal compression.

y = -cos(x) is a reflection across the x-axis, while y = cos(-x) would be a reflection across the y-axis.

Answer:

  b.  98.5°

Step-by-step explanation:

There are a number of ways to do this. Perhaps one of the simplest is to compute the angle associated with each vector, and find the difference.

We can compute that angle as ...

  vector angle = arctan((coefficient of j)/(coefficient of i))

where the arctangent is computed in the appropriate quadrant according to the signs of i and j.

  ∠u = arctan(-8/√5) ≈ -74.38°

  ∠v = arctan(1/√5) ≈ 24.09°

The angle between these vectors is then ...

  24.09° -(-74.38°) = 98.47° ≈ 98.5°

Answer:

true

Step-by-step explanation: