Rationalize the denominator.
– 5x4
✓4x +7

Answer:

, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2

Step-by-step explanation:

Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3

Hdib3ibddbidb8hf

Iwdgid2bi2bvvz

Jdi3hi3dhi3dboefb3idbibf8e

3idbihi2hdowdndiwb

Whdkwdbkei3fh

Xhwoxbeifiebc

Oejfoefbo3nf

Answer:

The angle mPQO is 86°

Step-by-step explanation:

123°-37°

Answer:

y- [2] = 4(x - [3])

Answer:

y-2 = 4(x-3)

Step-by-step explanation:

The point slope equation is

y - y1 = m(x-x1) where m is the slope and (x1,y1)

y-2 = 4(x-3)

Answer:

I would say A.

Step-by-step explanation:

The pattern is blue, red, red, blue, blue, red, so then another red?

I apologize if im incorrect

The probability of randomly selecting an insect is 2/15.

It is a measure of happening or non happening of the outcomes of a random experiment.

P(E) = number of favorable outcomes/Total number of outcomes

Where, P(E) is the probability of any event.

Let E be an event of selecting an insect.

According to the given question

We have

Total number of insects = 10

Total number of trees = 8

Total number of flowers = 8

Total number of birds = 4

Now, the total number of outcomes = 10 + 8 + 8 + 4 = 30

Total number of favorable outcomes = 4

Therefore,

The probability of selecting an insect = [tex]\frac{4}{30} =\frac{2}{15}[/tex]

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The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

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Answer:

thank you :) for the points

Answer:

Thanks

Step-by-step explanation:

Step-by-step explanation:

y = 3x - 6

the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.

so, in our case, it is -1/3.

the equation for the perpendicular line looks like this then :

y = (-1/3)×x + b

to get b we use the provided point and it's x and y values.

6 = (-1/3)×-3 + b = 1 + b

b = 5

so, the full equation of the perpendicular line is

y = (-1/3)×x + 5

Answer:

No solutions

Step-by-step explanation:

I hope my answer help you.

Answer:

y = (-zvx)/w

........

Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4

Answer6x3-33x2+45x-6

Step-by-step explanation:

The product of polynomials is 6x³-33x²+45x-6. Therefore, option C is the correct answer.

To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.

Given that, (3x-6)(2x²-7x+1).

By using distributive property, we get

3x(2x²-7x+1)-6(2x²-7x+1)

= 6x³-21x²+3x-12x²+42x-6

= 6x³-21x²-12x²+3x+42x-6

= 6x³-33x²+45x-6

Therefore, option C is the correct answer.

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Answer:

the answer is option D

Step-by-step explanation:

if you add the no of students in favour of the survey

32+42+58+64=192

which makes the first option incorrect.

The opinion of tenth and eleventh graders are not identical.

11th and 12th graders gave a favourable response

so options A,B and C are incorrect

Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

Answer:

It is c

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

2.95-3.15

The result of the product with [tex]5x^7[/tex], we can see that Han neglected the zero taking 50 the same as 5 which is wrong

Given the polynomial functions

r(x) = [tex]10x^4[/tex]

t(x) = [tex]5x^3[/tex]

Taking the product of both functions:

P(x) = r(x) * t(x)

P(x)= [tex]10x^4\times 5x^3[/tex]

P(x) = [tex](10\times 5) \times(x^4\times x^3) = 50x^7[/tex]

Comparing the result of the product with [tex]5x^7[/tex], we can see that Han neglected the zero taking 50 the same as 5 which is wrong.

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Answer:

5.29

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (8)^2 - (6)^2

(Side)^2 = 64 - 36

(Side)^2 = 28

Side = √28

Side = 5.29

_________

[tex] \: [/tex]

a² = c² - b²

a² = 8² - 6²

a² = 64 - 36

a² = 28

a = √28

a = 2√7

Answer:

A(-3 , 3)  B(-4 , 7)  C(2 , 6)  D(3 , 2)

Step-by-step explanation:

Rotation of the parallelogram about the point P(4, 1), is done by taking

point P as the origin, and using relative coordinates for the rotation.

Reasons:

The given parameters are;

Vertices of the parallelogram ABCD are;

A(6, 8), B(10, 9), C(9, 3) and D(5, 2)

Point about the parallelogram is rotated = P(4, 1)

Angle of rotation = 90°

Direction of rotation = Counterclockwise

90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)

Therefore, we have;

The given points relative to the point P are;

A'(6-4, 8 - 1) = A'(2, 7)

B'(10 - 4, 9 - 1) = B'(6, 8)

C'(9 - 4, 3 - 1) = C'(5, 2)

D'(5 - 4, 2 - 1) = D'(1, 1)

Therefore, we get;

A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)

B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)

C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)

D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)

Which then gives;

The image location are;

A(-7 + 4, 2 + 1) = A(-3, 3)

B''(-8 + 4, 6 + 1) = B(-4, 7)

C''(-2 + 4, 5 + 1) = C(2, 6)

D''(-1 + 4, 1 + 1) = D(3, 2)

Therefore, we have;

A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)

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105 people

I hope this helps I would appreciate brainliest if possible :)

Answer:

okay so 105 x 37 = 3885 + 80 + 3965 Which is the max within there budget

Step-by-step explanation:

so your answer is 105

Answer:3102+5780=8882

Step-by-step explanation:

[tex]\huge\mathtt\colorbox{white}{D}[/tex]

By definition, two vectors are equal if and only if they have the same magnitude in the same direction.

[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]

100-meter rise, 72-meter descent followed by a 48-meter rise

100-72+48 = 76

after these 20 seconds, they are 76 meters higher than at the start of the ride

we need to subtract

[tex]\\ \sf\longmapsto 300251-21596[/tex]

[tex]\\ \sf\longmapsto 278655[/tex]

Now let's round up

[tex]\\ \sf\longmapsto 278700[/tex]

[tex]\\ \sf\longmapsto 279000[/tex]

[tex]\\ \sf\longmapsto 280000[/tex]

[tex]\\ \bf\longmapsto 300000[/tex]

Answer:

4/3 or 1 1/3

Step-by-step explanation:

So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.

(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).

Hope this helped :)

Answer:

84 cm²

Step-by-step explanation:

Area triangle = 1/2(b x h)

Area = 1/2(21 x 8)

Area = 1/2(168)

Area = 84

84 cm²

-Chetan K

Answer:

The answer is -2

Step-by-step explanation:

First you do +10 on both sides leaving you with x = -2

And that is your final answer (x=-2)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

[tex]\boxed {\sf x=-2}[/tex]

Step-by-step explanation:

[tex]\sf x - 10 = -12[/tex]

[tex]\boxed{\mathrm{Add\:}10\mathrm{\:to\:both\:sides}}[/tex]

[tex]\sf x-10+10=-12+10[/tex]

[tex]\sf x=-2[/tex]

__________________

Answer:

Same Side Interior Angles

Step-by-step explanation:

Angle 7 and angle 14 are both inside of the two transversal lines E and M, and are on the same side of the line Q, making them both same side interior angles

-Chetan K

8 and 6

20:8 and x:6

ask urself: what is the scale factor?

[tex]20:8 = \frac{20}{8} = 2.5\\so, multiply 6 by 2.5, which is 15\\therefore, x = 15[/tex]

Answer:

its equals 30 cubic units

Happy To Help :)  Pls mark brainliest

Step-by-step explanation: