Suppose that R and S are points on the number line If RS= 10 and R lies at 13 where could S be located

Answer:

x = 104

y = 74

Step-by-step explanation:

According to the figure, the quadrilateral has two pairs of parallel, opposite sides. That makes the quadrilateral a parallelogram.

In a parallelogram, opposite sides are congruent and opposite angles are congruent.

Because of congruent sides:

x - 7 = 97

x = 104

Because of congruent angles:

y = 74

Answer:

[tex]a_{n}[/tex] = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 19 - 16 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

You have the following function:

In order to calculate

Consider that f(x + h) is given by:

Then, by replacing f(x) and f(x+h) into the difference quotient and by simplifying, you get:

Hence, the result to the quotient difference is 2x + h

The slope of a line perpendicular to the line is -4

The equation is x -4y = 28

The equation for the line is

y = mx + c

where m = slope

c = y-intercept

Here the equation is x - 4y = 28

4y = x - 28

y = x/4 - 7

So the slope of this line is 1/4

Now we have to find the slope of the line perpendicular to that line.

We know that,

m1 × m2 = -1

1/4 × m2 = -1

m2 = -4

Therefore the slope of the line perpendicular to the line is -4.

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The complete question is:

Find the slope of a line perpendicular to x-4y=28

Answer:

y=-x

Step-by-step explanation:

Slope of the line = -1

Parallel line slope = -1, y intercept 0

y = -x

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Answer: Her answer is incorrect.

Step-by-step explanation: You have to distribute the negative sign to (-12), once you do that the (-12) becomes a positive making the equations -12 + 12 resulting in your answer being 0 not -24.

The composite function f(x). g(x) is represented as 3x² - 17x + 10

The composite function can be solved as follows:

f(x) = 3x - 2

g(x) = x - 5

Therefore, the composite function f(x). g(x) is as follows:

f(x). g(x) =  f(x) × g(x)

Hence,

f(x) × g(x)  = (3x - 2)(x - 5)

f(x) × g(x) = 3x²  - 15x - 2x + 10

f(x) × g(x) = 3x² - 17x + 10

Therefore, the function  f(x) × g(x) = 3x² - 17x + 10

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Answer:

There's no real solutions

Step-by-step explanation:

8x - 3 > 2(4x + 1 ) multiply inside the parenthesis with 2

8x - 3 > 8x + 2 transfer like terms to the same side of the inequation

8x - 8x > 3 + 2

0 > 5 this is not correct so we say there's no real solution to this inequation

Answer: The answer for X' is -1,8, and the answer for X'' is 3,14

Step-by-step explanation:

When talking about reflections across the x-axis, the formula would be: (x,y)---> (x, -y) so you first start out with -1, -8 then translate it to -1,8, because you swap the y. Then you add 4 to -1 because you move 4 to the right which gives you 3, and then you add 6 to 8 because you move up 6, which gives you 14, so your final answer is 3,14

1) Considering that

Option b) p = -8 is correct, when p³ = 518.

A integer y such that y3 = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots. We are aware that adding three times to any number yields the cube of that number. Additionally, the inverse action of cubing a number is known as the cube root of a number. For instance, 63 has a cube value of 216. In that case, 216's cube root is equal to 6.

Given,

Equation

p³ = -518

Multiplying cube root each side

p = -∛518

p = -8

Option b) p = -8 is correct, when p³ = 518.

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Answer:

78

Step-by-step explanation:

2n + 1 = 157

2n = 157 - 1

2n = 156

n = 156 ÷ 2

n = 78

Las medidas de los lados desconocidos de las tres figuras son listadas abajo:

A) AC = 3

B) AC = 13

C) AB = 17

En este problema tenemos que dos casos de triángulos rectángulos y un caso de rectángulo. Por geometría euclídea, un rectángulo se forma uniendo dos triángulos rectángulos de iguales medidas. Las medidas de los lados faltantes se determina con el teorema de Pitágoras:

Caso A - Triángulo rectángulo

AC = √(BC² - AB²)

AC = √(5² - 3²)

AC = √(25 - 16)

AC = √9

AC = 3

Caso B - Rectángulo

AB = DC

AC = √(AD² + DC²)

AC = √(AD² + AB²)

AC = √(5² + 12²)

AC = 13

Caso C - Triángulo rectángulo

AB = √(AC² + BC²)

AB = √(8² + 15²)

AB = 17

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Take the 2nd term and minus the 1st term.

Now take the 3rd term and minus the 2nd term.

Notice that the differences are the same. Hence there is a common difference (difference of -0.5).

So it is an arithmetic sequence.

Answer: whats the question?

Step-by-step explanation:

These are the coefficients of x1 and x2  respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.

We are given the following information:

The estimate regression equation for a model involving two independent variables and 10 observations follows:

y= 29.1270+0.5906x1+0.4980x2

where x1 and x2  are the two independent variable and y is the dependent variable.

a) The regression line is of the form:

y=b0+b1 x1+b2 x2

where b0 is the y intercept and b1 , b2 are the coefficients of x1 and x2

Comparing, we get,

b1 = 0.5906

b2= 0.4980

These are the coefficients of x1 and x2  respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.

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Answer:

Where is the question?

Step-by-step explanation:

Answer:

420 miles

Step-by-step explanation:

We are given that Cole drove a distance at a speed of 70 miles/hour. We are also shown that the driving time was 6 hours.

We are asked to find how many miles Cole drove.

Realize that since the speed is constant, it can be multiplied by the driving time to find the mileage.

Therefore, multiply the speed limit by the driving time:

[tex]\text{70 miles/hour} \times \text{6 hours} = \text{420 miles}[/tex]

Therefore, Cole drove 420 miles.

Answer:

420 miles

Step-by-step explanation:

Is known:

70 miles / hour

Question:

how many miles will it cover in 6 hours?

70mil/jam × 6 hour

= 420 miles

StudyForEducation.

Answer:

See below

Step-by-step explanation:

A = l w        looking for w......  divide both sides of the equation by  ' l '

A/l = w         Done.

Answer:

Step-by-step explanation:

Your first two photos are correct.

For your third photo, move your second dot one more to the right as you accidentally put 1.7 instead of 1.8.

For the first dot of -8/5 you should move it 8 more to the left. This is because:

-8/5 = -1 3/5 = -1.6

For your fourth photo

9/2 = 4 1/2 = 4.5

-7/2 = -3 1/2 = -3.5

For your fifth photo

-5 2/3 ≈ -5.66

5 1/3 ≈ 5.33

Hello!

To solve for f(-9)

  ==> must simply plug in '-9' into the x's position

       ==>  [tex]f(-9) = 1(-9)-8=-9-8=-17[/tex]

Hope that helps!

Speed of Driver A is 30 km/h.

Speed of Driver B is 40 km/h

The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Given Data

Driver A and B have two different routes. Driver A's route is 80km, and driver B's route is 100km. Driver B travels 10km/h faster than driver A and finishes 10 minutes earlier.

Distance = Speed (Time)

Distance for Driver A: 80 kilometers

Consider Driver A's speed to be A km/h.

Driver A's time was [tex]\frac{80}{A}[/tex] hours.

Distance for Driver B is 100 kilometers

Speed of Driver B: A + 10 km/h

Driver B's time was equal to 100/(A + 10) hours.

Arrived 10 minutes early, or [tex]\frac{10}{60}[/tex], or [tex]\frac{1}{6}[/tex]hour.

100/(A + 10) = [tex]\frac{80}{A}[/tex] - [tex]\frac{1}{6}[/tex]

600A = 480(A + 10) - A(A + 10)

600A = 480A + 4800 - A² - 10A

A² +130A - 4800 = 0

A² + 160A - 30A - 4800 = 0

A(A + 160) - 30(A + 160) = 0

(A - 30)(A + 160) = 0

A = 30 since speed cannot be negative.

Speed of Driver A is 30 km/h.

Speed of Driver B: 40 km/h

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If an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up [tex]12\frac{1}{4}[/tex] , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

The depth he dives below the surface = 25.5 feet

The the orca swims up  [tex]12\frac{1}{4}[/tex] feet

Convert the mixed fraction to simple fraction

[tex]12\frac{1}{4}[/tex] feet = 49/4 feet

Convert the simple fraction to the decimal number

49/4 feet = 12.25 feet

The distance orca dives below will consider as negative and the distance swims up will considered as positive

Then the position of orca = -25.5+12.25

= -13.25

Hence, if an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up [tex]12\frac{1}{4}[/tex] , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

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[tex] \frac{7}{100} \times 41 \\ = 2.87[/tex]

ATTACHED IS THE SOLUTION

Range of the given graph is  (-∞,+∞)

Range of the function y=f(x) is all possible value of y for different value  of x. Here value of x for which function is defined, known as domain of the function while the value of y for corresponding value of x is known as range of function.

              In the graph of the function the value of x (on X-axis) for which graph is plotted known as domain of graph while the value of y on the Y-axis is known as range of graph.

 In simple word we can say X-axis denotes domain and Y-axis denotes range

Thus, from the graph it seems very clear that the range of the given function or graph will lie between -∞ to +∞

    we can also write as y∈ (-∞,+∞)

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Answer:

  t = 3/2

Step-by-step explanation:

You want to know the value of t that satisfies 17/20= t + ( - 13/20).

Add 13/20 to both sides of the equation.

  17/20 +13/20 = t -13/20 +13/20

  30/20 = t . . . . . simplify

  3/2 = t . . . . . . . reduce the fraction

The solution is t = 3/2.

Stephen's necklace, to start can accommodate 12 macaroni noodles and 23 rotelle pieces.

Necklace of Stephen can have 35 rotelle pieces.

Stephen's pendant can have 10 pieces of rotelle and 5 macaroni noodles.

explanation:

-

Option A is accurate because 35 pieces of pasta—the maximum permitted per necklace—are obtained by adding 12 macaroni noodles to 23 pieces of rotelle.

Option B is incorrect because the sum of the allowed 35 pasta pieces plus the 15 macaroni noodles and 21 rotelle pieces equals 36 pasta pieces.

Option C is accurate because 35 pieces of Rotelle do not exceed the upper limit.

Despite the fact that they still add up to the maximum allowed, Option D is false since a string

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In a sale, if the normal prices are reduced by 10% and David bought a pair of trainers in the sale for £36 then the marked price of these trainers was £40.

Original price is said to be as the price that was fixed by the MSRP (i.e said to be the Manufacturer’s Suggested Retail Price).

In most of the case scenario, the original price would taken to be as always lower than the current price and then also in some other cases, original price and current price can be taken as the same.

First you have to convert the total percent discount to a decimal by dividing by 100% . Step 2: Set up the equation P=(1−d)x P = ( 1 – d ) x to find the original price of the item where P is the sale price, d is the discount as a decimal, and x is the original price of the item.

The selling price, may be that of a product or a service, is said to be as the customer or client’s final price

To calculate the exact original price of a selected item, you have to divide the sale price by the value of 1 minus the entire value of the percentage off and then divided by 100.

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