Which equation represents a line that passes through the point (6,−3) and is parallel to the graph of y=3x+1? A y=3x−21 B y=3x+15 C y=−13x−1 D y=−13x+5

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

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:

78

Step-by-step explanation:

2n + 1 = 157

2n = 157 - 1

2n = 156

n = 156 ÷ 2

n = 78

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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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.

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

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: whats the question?

Step-by-step explanation:

Answer:

u = 0

Step-by-step explanation:

7(U + 4) = 28  Distribute the 7

7u + 28 = 28    Subtract 28 from both sides

7u = 0  Divide both sides by 7

u = 0

Answer:

7(u - 4) = 28

7u - 28 = 28

+28 +28

7u = 56

÷7 ÷7

u = 8

Answer:

9 groups of 3 equal 27

Step-by-step explanation:

Fill in the missing number.

9 groups of 3 equal 27

because 9 × 3 = 27

Answer:

Where is the question?

Step-by-step explanation:

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

ATTACHED IS THE SOLUTION

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:

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

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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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.

The conclusion which is correct among the answer choices as given in the task content is; The ordered pair (17, 3) is viable.

It follows from the task content that the conclusion which is valid be identified among the answer choices.

Since it is given that; there is a relationship between the number of visit and hole-in-one winners.

The statement above indicates that the number of visitors must be greater than the number of winners. This follows from the fact that there is no winner if there are no visitors.

Hence, since x is the number of visitors and y is the number of winners, the ordered pair which is viable is; (17, 3).

The ordered pair (20, 5) is viable too. However, the last answer choice indicates that it id not and hence, is incorrect.

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Answer:

(17,3)

Step-by-step explanation:

I got it on FLVS

Answer:

y=-x

Step-by-step explanation:

Slope of the line = -1

Parallel line slope = -1, y intercept 0

y = -x

:]

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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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

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:

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.

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: 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

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

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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