Consider the quadratic equation x2 10x 27 = 0. completing the square leads to the equivalent equation (x )2 = .

The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

The points are given as:

Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)

The rule of rotation around the origin counterclockwise by 90 degrees is

(x,y) => (-y,x)

Using the above rule, we have:

Z' = (4,-1)

Y' = (2,0)

X' = (0,4)

W' = (4,3)

Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

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boat speed= 8 m/s

river current= 5 m/s

the resultant speed of the motorboat rounded to the nearest 10.

use pythagorean theorem.

let the unknown be "x".

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]x = \sqrt{ {8}^{2} + {5}^{2} } [/tex]

[tex]x = \sqrt{64 + 25} [/tex]

[tex]x = 9.4 \: m |s[/tex]

hence, the resultant speed of the motorboat is 9.4 m/s

Answer:

50m^2

Step-by-step explanation:

cut the shape into half. Now you should have a rectangle and a right triangle. Then do 5•7=35 so 35m for the rectangle. Now do the triangle! 10-7=3 so the base is 3 so do 3•5=15m so add them together 15m+35m=50m^2

ALSO IF YOU NEED TO KNOW THE ANGLE X IS: 60*
Hope this helps! ;-)

Answer:

the correct answer is 2nd hope this will help u i have find the value of x also hope it will help

Step-by-step explanation:

[tex] {4}^{x + 3} = 64 \\ {2}^{2(x + 3)} = {2}^{6} \\ 2{ }^{2x + 6} = 2 {}^{6 } \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]

Answer:

292,968

Step-by-step explanation:

Answer:

6.6 ft

Step-by-step explanation:

The area of a triangle is given by the formula: [tex]A=\frac{1}{2}bh[/tex].

In this case, the base b equals the height h.

[tex]\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}[/tex]

Given: A = 22 ft²

[tex]\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}[/tex]

It is a pythagorean triple.

Answer:

10

Step-by-step explanation:

Square root of 74 is 8.6.

Using the pythagoras theorem,

7²+x²(half)=8.6²

49+x²(half)=74

x²=25, x=5

Now we found the half of x, we are going to add the other side which is 5+5=10

Answer+Step-by-step explanation:

1)

[tex]x^{2}+4x+1=x^{2}+4x + (4 - 4) + 1[/tex]

                  [tex]=x^{2}+4x + 4 - 3[/tex]

                  [tex]=(x+2)^2-3[/tex]

then

[tex]x^{2}+4x+1=0[/tex]

[tex]\Longleftrightarrow \left( x+2\right)^{2} -3=0[/tex]

[tex]\Longleftrightarrow \left( x+2\right)^{2} =3[/tex]

2)

[tex]\left( x+2\right)^{2} =3[/tex]

⇔ |x + 2| = √3

⇔ x + 2 = √3 or x + 2 = -√3

⇔ x + 2 = ±√3

⇔ x = -2 ± √3

Answer:

An angle inscribed in a circle is half of the central angle 2 that subtends the same arc on the circle, according to the inscribed angle theorem. As a result, the angle does not change as the vertex of the circle is moved around.

Step-by-step explanation:

Answer:

D. Ray

Step-by-step explanation:

Point: A dot in an exact location or position on a plane surface.

Line: A straight line that goes on infinitely in both directions and has no endpoints.

Line segment: A line between two points on each end.

Ray: A line with one endpoint and extends in one direction infinitely.

The volume of the square pyramid will be equal to V = 648 square centimetres.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

Given that:-

The volume will be calculated as:-

V = L  x  W  x  H

V = 9  x   9  x  8

V = 648 square centimters.

Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.

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Answer:

why don't u send the pictures so I can help u out

The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing

The given parameters are:

The error margin is calculated using:

[tex]E = z * \sqrt{\frac{p* (1 - p)}{n}}[/tex]

Where z is the critical value.

At 95% confidence level, the critical value is:

z = 1.96

So, we have:

[tex]E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}[/tex]

Evaluate

[tex]E = 1.96 * \sqrt{0.002475}[/tex]

Evaluate

E = 0.0975

Hence, the error margin is 0.0975

This is calculated using:

I = p ± E

So, we have:

I = 0.55 ± 0.0975

Expand

I = (0.55 - 0.0975, 0.55 + 0.0975)

Evaluate

I = (0.4525, 0.6475)

Express as percentage

I = (45.25%, 64.75%)

Hence, the interval estimate for the true population proportion is 45.25% to 64.75%

From the simulation,

The values are approximately the interval estimates.

i.e.

45.25% ≈ 45% and 64.75% ≈ 65%

Hence, we can conclude that the majority of the community supports water rationing

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The percentage of the rectangle that will be beige is 15.5 percent

A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The width of the "H" is 1/2 the distance form the top to the bottom of the "H" is 1/2

1/2 + 1/2 =

the side length of the "H" is 4

4 x 1/2 = 2

The demensions of the other 1/2 by 4 are the same, therefore,

2 + 2 = 4

The middle section is 1 by 1/2

1 x 1/2 = 1/2

The equation is 2 + 1/2 = 2 1/2

and converted to decimal form it is 4.5

The rectangle is 4 by 5

So 4 x 5 = 20

20 - 4.5 = 15.5 percent

Hence the percentage of the rectangle that will be beige is 15.5 percent.

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Answer:

AC and YX are corresponding sides.

AB and YZ are corresponding sides.

BC and ZX are corresponding sides.

Step-by-step explanation:

Hope this helps and have a nice day

The model could be improved by using a step function.

Answer:

C

Step-by-step explanation:

To find the area of the base of the prism, you would first multiply 7 1/2 and 2 1/4, which would leave you with 16.875. Next, you would divide by 2, which gives you 8.4375. Rounding up, you would have the answer C.

Answer:

The triangles are not similar

Step-by-step explanation:

You can make a ratio with the corresponding sides of the triangles. When triangles are similar, the ratios are equal.

These will be:

ED:BA = EF:BC = FD:AC

Now, to substitute the numbers and check whether the ratios are equal:

3/8 = 2/5

Already, we see that these ratios are not equal, therefore the two triangles aren't similar.

If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation

BN/BQ = AN/AB = AB/AQ

Now

AN/AB = AB/AQ   ⇒   AQ = AB²/AN = 36/AN

and

BN/BQ = AN/AB   ⇒   BQ = (BN • AB)/AN =  6 • BN/AN

where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.

The equation for the flowing rate of aamir is as follows y  =  -12x  +360

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First of all let's write the slope-intercept form of the equation of a line, which is:

y   =  mx  +  c

So we just need to find to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

Negative slope because Amir is descending. So:

y    =  -   12x  +  b

To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:

y  =  -12x  +  b

0  =   -12(30)   +  b

b   =   360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

y  =  -12x  +360

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Answer:

11 meters per minute

Step-by-step explanation:

The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.

Hint #22 / 2

Two points whose coordinates are clearly visible from the graph are

(

0

,

440

)

(0,440)left parenthesis, 0, comma, 440, right parenthesis and

(

40

,

0

)

(40,0)left parenthesis, 40, comma, 0, right parenthesis.

Now, to find the slope, let's take the ratio of the corresponding differences in the

�

yy-values and the

�

xx-values:

0

−

440

40

−

0

=

−

440

40

=

−

11

40−0

0−440

​

=

40

−440

​

=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11

The slope of the line is

−

11

−11minus, 11, which means that Amir descended at a rate of

11

1111 meters per minute.

The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.

Answer: D

Step-by-step explanation:

The correct answer is (D): Lower high school GPAs correlate to lower college GPAs, with one exception to a low high school GPA and high college GPA.

Grade point average, or GPA, is measured on a scale of 0 to 4. A grade of four is an A, while a grade of zero equals an F.

Given:

The scatter plot illustrates the relationship between high school and college GPAs for a sample of students.

The scatter plot is given in the attached image.

Highest college GPAs are  4, 3.5, 2 and so on.

And their respective high school GPAs are 2, 4, 3.25 and so on.

That means, students with higher high school GPAs have lower college GPAs.

Let students with lower high school GPAs repeat their performance and get low college GPAs.

But here a student has GPA 2 in high school and 4 GPA in college.

That gives us contradiction.

There is one exception, with college GPA as 4 and HS GPA as 2.

All other points show that a lower college GPA could result in lower HS GPA.

Therefore, the correct answer is option D.

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Answer:

x= 1.74

Step-by-step explanation:

Area of triangle= ½ ×base ×height

We are given that the base is (x +4), the height is x and the area is 5.

5= ½(x +4)(x)

Multiply both sides by 2:

x(x +4)= 10

Expand:

x² +4x= 10

x² +4x -10= 0

Let's use the quadratic formula!

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]

[tex]x = \frac{ - 4± \sqrt{ {4}^{2} - 4(1)( - 10)} }{2(1)} [/tex]

[tex]x = \frac{ - 4± \sqrt{56} }{2} [/tex]

x= 1.74 or x= -5.74 (reject)

(nearest hundredth)

The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7

The horizontal asymptotes the the point where the horizontal line cutes the y-axis,

Given the function

j(x) = 14x³+45/2x³+9

Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown

y = 14/2

y = 7

Hence the horizontal asymptotes of the function is y =7

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Find the volume of a sphere with a diameter of 16 cm using the formula Volume = [tex]\dfrac{4}{3}[/tex] × π × r³.

In this question we are provided with the diameter of a sphere. We are asked to calculate the volume of the sphere using the radius.

First we will find the radius of the sphere

We know,

[tex] ✭ \: \small\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}[/tex]

Substituting the values we get

[tex] \small\sf{ Radius = \dfrac{ \cancel{16} \: \: 8}{ \cancel{2}}}[/tex]

[tex] \star \: \small\rm{ Radius = 8 \: cm}[/tex]

Now we will calculate the volume of the sphere

We know,

[tex] ✭ \: \small \boxed{{\rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}}[/tex]

Where,

Substituting the values we get

[tex] \small\rm{ Volume_{(sphere)} = \dfrac{4}{3} × 3.14 × 8³}[/tex]

[tex]\small\rm{ Volume_{(sphere)} = \dfrac{ \cancel{4}}{3} × 3.14 × 8 \times 8 \times \cancel{ 8 } \: \: 2}[/tex]

[tex] \small\rm {V olume_{(sphere)} = \dfrac{3.14 × 64}{3}}[/tex]

[tex] \small\rm{ Volume_{(sphere)} = \dfrac{200.96}{3} =66.98 \: {cm}^{3} }[/tex]

Hence the volume of the sphere is 66.98 cm³.

[tex] \underline{\rule{71mm}{4pt}}[/tex]

Answer:

Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)

Step-by-step explanation:

Answer:

[tex]3\sqrt5[/tex]

Step-by-step explanation:

The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

so, [tex]3^2+6^2=c^2[/tex]

9 + 36 = 45

[tex]\sqrt45=\sqrt{c^2}[/tex]

c = [tex]3\sqrt5[/tex]

Answer:

the top answear

Step-by-step explanation:

the top aka 16^15/5 it should be 16^15 not that 5

Answer:

The answer is "no" because when two numbers with the same bases are divided, their powers are subtracted.

This should have been done instead:

                                     [tex]\frac{6^{15} }{6^5}[/tex] = 6¹⁵ ⁻ ⁵

                                           = 6¹⁰

Hope this helps!

The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.

Inequality is defined as a mathematical expression in which both sides are not equal and have mathematical signs that are either less than or greater than.

Let's suppose the total minutes of uses for cell phone is x

and total minutes of uses of for tablet is y

Cell phone cost $0.10 each minute and tablet cost $0.15 each minute.

Then total minutes will be:

x + y < 5000 (as it is given that the time will be less than 5,000 minutes on both of the devices)

And total cost = $450

0.10x + 0.15y ≤ $450

Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.

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The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.

The slope of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It describes the direction of the line.

The standard form of the equation of a line can be given as,

y=mx+c

Here, c is the y intercept of the line and m is the slope of the line.

The equation of the line is given as,

4x-y+3=0

Rewrite the equation in the standard form as,

4x-y+3=0

4x+3=y

y=4x+3

Compare it with standard equation we get,

m=4

c=3

Thus, the slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.

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