formula of solving 5+4x/7=-3

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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Answer:

506

Step-by-step explanation:

I did mentally

Answer:

506

Step-by-step explanation:

I hope this helps!

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

Answer:

16.99

Step-by-step explanation:

?????-_-;):):):):)??........

the vertical triangles are equal measured, therefore

answer: x = 18

You can repeat these actions for any numbers of x to find the corresponding value of y.

The form y+1=-6(x-8) is a linear equation in slope-intercept form, where the slope is -6 and the y-intercept is 1. To find the value of y for any numbers of x, you can follow these steps:

1. Start with the equation y+1=-6(x-8)
2. Choose a value for x. For example, let's use x=3.
3. Substitute the value of x into the equation: y+1=-6(3-8)
4. Simplify the equation: y+1=-6(-5)
5. Simplify further: y+1=30
6. Solve for y: y=29

So for x=3, the value of y is 29. You can repeat these actions for any numbers of x to find the corresponding value of y.

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Step-by-step explanation:

the slope if the equation will be -8

Answer:

Step-by-step explanation:

y - 3 = -(x + 2)

y - 3 = -x - 2

y = -x + 1

Answer:

9:12

Step-by-step explanation:

Answer:

the answer is Less than "<"

Step-by-step explanation:

when you reduce both ratios you get 6:9=2:3 and 9:12=3:4

2:3<3:4

Answer:

Step-by-step explanation:

6(6p-9)-10p-6(6p-9)-10p

36p-54-10p-36p+54-10p

36p-36p-54+54-10p= -10p

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3

from the question, we have the following parameters that can be used in our computation:

The right triangle

The hypotenuse of the right triangle is calculated as

h² = 2² + 3²

When evaluated, we have

h = √13

The values of the trigonometry functions are then evaluated as

sin(θ) = 3/√13

cos(θ) = 2/√13

tan(θ) = 3/2

csc(θ) = √13/3

sec(θ) = √13/2

cot(θ) = 2/3

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Answer: 18080!

Step-by-step explanation:400 x 450

1. Multiplying from the oneths place ( turning 45.2 into 450)

      2x0=0  2x0=0  2x4=8 = So the first answer is 800

2. Multiply from the tenths place

5 x 0 = 0   5 x 0 = 0   5 x 4 = 20 = the second answer is 2000

Multiplying the hundredths place

4 x 0 = 0  4 x 0 = 0   4 x 4 = 16  = The third answer is 1600

800 + 2000 + 1600 = 18080    Hope this helped! :)

Answer:mean

Step-by-step explanation:

I would assume it’s the mean since that averages the 7 test scores it represents the data set well. Outlier and mode don’t describe a data set since they are quite unique within it.

The values of

1. sin 5π/12 = √6+√2)/4

2. cos 5π/12 = √6-√2)/4

3. Tan 5π/12= 2+√3

trigonometry is the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

π = 180

5π/12 = 5×180/12

= 75

tan75° = tan (45+30)

tan 45 = 1

tan 30 = 1/√3

tatan (45+30) = (tan45+tan30)/1-tan45tan30

= 1+1/√3)/1-1/√3)

= {(√3+1)/√3-1)

= 4+2√3)/2

= 2+√3

cos 75 = cos ( 45+30)

cos (45+30) = cos 45 cos 30 - sin 45sin30

= 1/√2 × √3/2 - 1/√2 × 1/2

= √3/2√2 - 1/2√2

= √3-1)/2√2

= 2√6 - 2√2)/8

= (√6 - √2)/4

sin(45+30) = sin45cos 30 + sin 30cos 45

= 1/√2 × √3/2 + 1/2 × 1/√2

= √3/2√2 + 1/2√2

= √3+1)/2√2

= 2√6+2√2)/8

= √6+√2)/4

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Answer:

The vehicle can drive 450 miles.

Step-by-step explanation:

You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.

Answer:

450 miles

Step-by-step explanation:

By 20 gallons,the car travels 300 miles

by 1 gallon, car travels 300÷ 20 miles

By 30 Gallons, car travels: (300÷20 )×30

450miles

We are given a mathematical expression as follows:

We are asked to simply the above expression.

Whenever we resolve mathematical operators in an expression/equation we use the guidelines of PEMDAS.

The rule PEMDAS gives us the order in which the mathematical operations are carried out. The acronyms full form is:

Mathematical operators are applied in the order of decreasing importance in an expression as expressed above.

Now, we will go ahead an apply the rule of PEMDAS to simplify our expression. We see that we have to deal with a P: Parenthesis first!

Next we will use the Multiplication operator ( M ) and multiply out the respective terms inside the parenthesis as follows:

Since the above terms ( 21r ) and ( 3 ) are of different domains i.e one is a multiple of a vraible ( r ) and the other one is an integer we can not further simplify the result. Hence, the simplified expression would be:

Answer:

A car traveling at 35 miles per hour would be 25.865 miles per gallon.

Step-by-step explanation:

a. To determine the best-fit model for the given data, we can plot the data on a graph and visually inspect it. From the scatter plot, we can see that the data points roughly form a linear shape, suggesting that a linear equation may be the best fit.

b. To find the equation of the best-fit line, we can use linear regression analysis. The best-fit equation for the given data is:

y = 0.0294x + 24.355

c. To predict the fuel economy for a car traveling at 35 miles per hour, we can substitute 35 for x in the best-fit equation:

y = 0.0294(35) + 24.355 = 25.865

Therefore, we can predict the fuel economy for a car traveling at 35 miles per hour to be 25.865 miles per gallon.

Hoped this help! Again, sorry if it's wrong. If you need more help, ask me! :]

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

The sequence is Geometric sequence

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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The value of CE is 14.7 units.

The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.

So that in the given circle with center A, we have;

CE = BD  (diameter of a given circle)

BA = EA = CA = DA    (radius of a given circle)

CE is the diameter of the circle, and BA is the radius, so that;

CE = 2*BA

     = 2*7.35

     = 14.7

CE = 14.7

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Answer:

75

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

Answer:

∠ B = 60°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x - 45 is an exterior angle of the triangle , then

10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )

3x - 45 = 0 ( add 45 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

∠ B = 4x = 4 × 15 = 60°