What is the slope of this line

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{2}}x+4 \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is -2/3 and that it passes through (-6 , 2)

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{2}{3}}(x-\stackrel{x_1}{(-6)}) \implies y -2= -\cfrac{2}{3} (x +6) \\\\\\ y-2=-\cfrac{2}{3}x-4\implies {\Large \begin{array}{llll} y=-\cfrac{2}{3}x-2 \end{array}}[/tex]

The segment XY is a tangent to circle Z.

What is tangent to a circle?

Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.

To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.

If the triangle XYZ is a right triangle, then we have

XY² +XZ² = YZ²

3.6² +2.7² = (1.8 +2.7)²

 12.96 +7.29 = 20.25            it's true.

Therefore, the segment XY is a tangent to circle Z.

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Answer:10.85

Step-by-step explanation:

First you have to multiply a, 3 5/6, by b, 5 2/3. Which is 21.7222222, if you simplify it, you would get 21.7. Then you divide the total by 2 and you get 10.85.

Answer:

10 31/36 m

Step-by-step explanation:

formula for area of a triangle base times height times 1/2

we turn the height and base into improper fractions

3 5/6= 23/6

5 2/3=17/3

Now we multiply together to find area
23/6x17/3= 391/18

391/18x1/2=391/36

10 31/36

hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

You want the equations of the horizontal and vertical lines that pass through (2, 3).

A horizontal line has an equation of the form ...

  y = c . . . . . for some constant c

The value of y is the same for every value of x.

To make such a line go through the point (2, 3), we must have ...

  y = 3

A vertical line has an equation of the form ...

  x = c . . . . . for some constant c

The value of x is the same for every value of y.

To make such a line go through the point (2, 3), we must have ...

  x = 2

Step-by-step explanation:

Mrs. Reed is buying seeds to start a vegetable garden. She purchases 12 packets of bean seeds, 15

packets of carrot seeds, and 2 packets of corn seeds. Choose Yes or No to tell if each statement about

the purchase is correct.

The fraction of the patients that have a waiting time of more than 7 minutes found by using the area under the curve is 269/312

A fraction indicates the quantitative comparison showing the number of times one quantity is contained in another quantity.

The area under the frequency curve is found as follows;

Dividing the area into composite shapes of a rectangle, triangle and trapezoid, we get;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 + (2.5 + 1.2) × 2/2 + 1.2 × 1/2 = 31.2

The area for those that have a waiting time of more than 7 minutes is therefore;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 = 26.9

The fraction that have a waiting time of more than 7 minutes is therefore;

26.9/31.2 = 269/312  ≈ 0.862

The fraction of the patients that have a waiting time of more than 7 minutes is 269/312

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The third term will be 5 in the explicit arithmetic sequence.

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

The explicit formula of an arithmetic sequence is given in the question as:

F(n) = 3n -4   ....(i)

To determine the term 3.

Substitute the value of n = 3 in equation (i),

T₃ = 3(3) - 4

T₃ = 9 - 4

Apply the subtraction operation,

T₃ = 5

Therefore, the third term will be 5 in the explicit arithmetic sequence.

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Answer:

64

Step-by-step explanation:

you need to plug the number in subtract and add then multiply the number from the first pair of parenthesis into the main number and after multiply the second pair into it.

Answer:

The distance would be 13m.

Answer:

13 m

Step-by-step explanation:

this can be looked at like a triangle sorry for the bad drawing I’m in the car lol

But we know the base is 12m and the height of this triangle is 5 since the secon pole is 5m taller hence 14-9=5

So we use the Pythagorean theorem

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

169=c^2

Now find the square root of 169 to get the answer

13 m is the distance between the tops

Hopes this helps please mark brainliest

Answer:

The cat is at at  8 north 6 west

Step-by-step explanation:

The cat ran a total of 14 meters

The equation of the relationship is 2x + 4y = 45 and the graph is attached

From the question, we have the following parameters:

This means that

Price of each drink = Half $4

Evaluate

Price of each drink = $2

Represent the number of drinks with x and the number of bucket of popcorn with y

So, we have the following representation

Total amount of popcorn + Total amount of drinks = Total amount

This gives

2x + 4y = 45

Next, we sketch the graph

See attachment for the graph of the equation

The graph is represented by a straight line

This means that it is a linear equation

Also, the graph touches the axes at (0, 11.25) and (22.5, 0)

This means that the highest number of drinks and buckets are 11.25 and 22.5 respectively

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Answer: 13.89 units

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!

Answer:

50 gallons

Step-by-step explanation:

6400 ÷ 128

= 50

Answer: The correct statements are:

1 SS before tax costs $19.20

Sales tax for 2 SS is $2.88

Total cost for 2 SS is $41.28

Step-by-step explanation:

$16 x 1.20 = $19.20 cost before tax

$19.20 x 0.075 = $1.44 sales tax, one shirt

Sales tax for 2 shirts = $1.44 x 2 = $2.88

Total cost of a shirt = $19.20 + $1.44 = $20.64

Total cost for 2 shirts = $20.64 x 2 = $41.28

The solutions to the inequality whose graph is as represented in the attached image are;

It follows from the task content that the graphical solutions for the inequality are represented on the graph and the points which are solutions for the inequality are to be identified.

Therefore, the points which are solutions for the inequality are points which are located in the shaded region of the graph.

Hence, such points include;

The answer choices B, D and F represents points on the border line of the inequality graph and since the line is broken, they are not solutions to the inequality.

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Answer:

$4.90

Step-by-step explanation:

He already has $13.70 (7.40+6.30) saved up so you have to subtract that from 18.60 to find the total Ace needs to save up.

18.60-13.70=4.90

To check your answer, you can add 7.40, 6.30, and 4.90 and see if you get a total of 18.60.

Check: 7.40+6.30+4.90=18.60

What is the place value of digit 4 in 405,799:

4: one hundred thousandth place

0: ten thousandth place

5: one thousandth place

7: hundredth place

9: tens place

9: ones place

Answer:

100,000 thousand

Step-by-step explanation:

The number 405799 has six digits, and each digit has a specific place value based on its position within the number. The rightmost digit, which is 9, is in the one's place. Moving to the left, the next digit is 9 again, but this time it is in the ten's place. Continuing left, the next digit is 7, which is in the hundred's place. The digit 5 is in the thousand's place, and the digit 0 is in the ten thousand's place. Finally, the digit 4 is in the hundred thousand's place, so the place value of the digit 4 in 405799 is 100,000.

Answer:

7 hours.

Step-by-step explanation:

Use a clock and count forward.

A ballast resistor is utilized inside the ignition system of automobile engines or balloons. it acts as a resistor for the ignition ballast.

Between the main source of both the ignition coil & the coil stud, there's an ignition ballast resistor. It lowers the ignition coil's risk of failure.

An ignition ballast resistance assists in lowering the coil voltage & coil current when the generator revs the engine.

Minimal current consequently results in a low-temperature increase. Additionally, the ignition coil lives a long time as a result.

However, an ignition system requires a greater voltage that is also the same as the power source's voltage. Therefore, a resistor for the ignition ballast is connected to the jumper wire. The jumper wire additionally supplies the ignition with the necessary voltage when starting the engine.

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The Perimeter of CED AC is 34 in. AB is 26 in. BD is 28 in. P is 57 in.

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle. Rhombus: An equal-length parallelogram with four sides.

The diagonals of a parallelogram bisect each other AC = 2 CE

Substitute AC= 34 into AC = 2 CE 34 = 2CE

Calculate 34 = 2 CE CE = 17

The diagonals of a parallelogram bisect each other BD = 2DE

Substitute BD= 28 into BD = 2DE  28 = 2DE

Calculate 28 = 2 DE DE = 14

Opposite sides of parallelogram are congruent AB = CD

Substitute AB = 26 into AB = CD CD = 26

Perimeter of a triangle PΔCDE = CE + CD + DE

Substitute  CE = 17 DE = 14 CD = 26 PΔCDE = CE + CD + DE

PΔCDE = 17+ 26 + 14

PΔCDE = 57

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An input value that would produce the same output value for the first functions on the graph is 0. Also, an input value that would produce the same output value for the second functions on the graph is 3.

In this exercise, you are required to determine the input value that would produce the same output value for the two functions on the graph. This ultimately implies that, the two functions would be equated as shown below.

From the information provided above, the two functions include the following:

f(x) = -2/3(x + 1)

g(x) = 1/3(x - 2)

Equating the two equations, we have:

f(x) = g(x)

-2/3(x + 1) = 1/3(x - 2)

-2x/3 -2/3 = x/3 - 2/3

-2x/3 - x/3 = - 2/3 + 2/3

x = 0.

For the second function on the graph, the coordinates are as follows:

f(x) = (-3, 3), (0, 1), (3, -1)

g(x) = (-3, -3), (0, -2), (3, -1)

Therefore, the above function produces the same input value (x) at point 3.

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Answer:

D

Step-by-step explanation:

edge 23

The quadratic equation in standard form that contains the roots 5 + 4√10 and 5 - 4√10 is y = x² - 10 · x - 135.

In this question we must derive a quadratic equation in standard form, that is, a polynomial of the form:

y = a · x² + b · x + c

Where b / a = - r₁ - r₂ and c / a = r₁ · r₂ and r₁ and r₂ are the roots of the polynomial. If we know that a = 1, r₁ = 5 + 4√10 and r₂ = 5 - 4√10, then the quadratic equation is:

y = a · [x² + (b / a) · x + (c / a)]

y = x² + (- 5 - 4√10 - 5 + 4√10) · x + (5 + 4√10) · (5 - 4√10)

y = x² - 10 · x + 25 - 160

y = x² - 10 · x - 135

y = x² - 10 · x - 135 is the quadratic equation in standard form.

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The five number from the box plot is presented as follows:

A box and whisker plot shows five things of a distribution, listed as follows:

The value that 75% of the measures are larger than is found in the first quartile, which is the median of the data set's lowest 50% of measurements.

The data set's maximum value.

These numbers, which make up the five number summary, are the values highlighted on the box plot from left to right, from the minimum value to the greatest value, passing through the first quartile, the median, and the third quartile.

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Answer:

Mr. Carson drove 39 more miles in April than in May

Step-by-step explanation:

1027-988=39

The best first step to solve equations, x+y = 3 and 4x-y = 7, is to add the first equation to the second equation.

According to the question,

We have the following system of equations:

x+y = 3 .....(1)

4x-y = 7 ....(2)

Now, these equations can be easily solved by adding the first equation to the second equation because we will only then have one variable which is x and y when added to -y will result in zero.

We can solve these equations by adding as follows:

x-y+4x+y = 3+7

5x = 10

x = 10/5

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

2+y = 3

y = 3-2

y = 1

Hence, the correct option is B.

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Answer:

$ 1.38

Step-by-step explanation:

5.50 ÷ 4 = 1.375. rounded to 2 dp: 1.38

Answer: 39

Step-by-step explanation:

it starts at 11 and adds 7 everytime, assuming its linear (meaning it has a constant rate of change) u would add 7 to 32 to get your 5th value

Answer: y = 39

Step-by-step explanation:

Since the line is linear, the y increases 7 every time x increases 1

Add 7 to 32 and it equals 39