Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
y-2 = 3(x + 1/2)
y-3 = 2(x + 1/2)
y+1/2= 3(x - 2)
y + 1/2 = 2(x – 3)

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex]  ...(i)

We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-

[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex]  ...(ii)

On comparing (i) with (ii) , we get

[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]

i.e.

[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]

Hence, the value of m is 29.

Answer: The answers are provided below

Step-by-step explanation:

15. 7c + 8d + 2c + 17d

= 7c + 2c + 8d + 17d

= 9c + 25d

16. 4(2m - 3p) + 12m + 7p

= 8m - 12p + 12m + 7p

= 8m + 12m -12p + 7p

= 20m - 5p

17. (15j +9z) - (12j + 6z)

= 15j - 12j + 9z + 6x

= 3j + 15z

18. 3y + 6.7x + y + 2.3x +10 - 7

= 6.7x + 2.3x + 3y + y + 10 - 7

= 9x + 4y + 3

19. 2b + (-6c) +5e - 11b + e+ 6c

= 2b - 11b - 6c + 6c + 5e + e

= -9b + 6e

إجابة:

3.8

شرح خطوة بخطوة:

[tex]1.3 - (-2.5)[/tex]

[tex]=1.3+2.5[/tex]

[tex]=3.8[/tex]

Answer:

3.8

Step-by-step explanation:

negative by negative = positive.

1.3 + 2.5 = 3.8

Answer:

[tex]100.00 \div 6 [/tex]

The probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,

So, the probability = favorable outcomes / total outcomes

Here, the favorable outcome = 1

The total outcomes = 1, 2, 3, 4, 5, 6 = 6

So, the probability = 1/6 = 1/2

Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6

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[tex]reciprocal \: of \: \frac{ - 5}{11} \: is \frac{ - 11}{5} \\ product \: of \: \frac{ - 11}{5} \times \frac{3}{8} = \frac{ - 33}{40} \\ hope \: it \: helped \: [/tex]

Answer:

1/6π units³ or 11/21 units³

Step-by-step explanation:

V = 4/3 πr³

r= 1/2

or

Answer:

1/6

Step-by-step explanation:

Answer:

(5y-17x)/ (y^2-x^2)

Step-by-step explanation:

(2/x-y) + (3/x+y) - (5/y-x) - (7x-9y/y^2-x^2) =

Get a common denominator of y^2 - x^2

2/ (x-y) = -2 /( y-x) * (y+x)/(y+x)  = (-2y -2x) / (y^2 -x^2)

(3/x+y) = 3/ (x+y) * (y-x)/(y-x) = (3y-3x) /  (y^2 -x^2)

-5/(y-x) = -5/(y-x) *(y+x)/(y+x) = -5y-5x /  (y^2 -x^2)

- (7x-9y/(y^2-x^2) = -7x +9y/ (y^2-x^2)

Combine the numerators since the denominators are equal

-2y -2x +3y-3x-5y-5x-7x+9y

5y-17x

Put this over the denominator

(5y-17x)/ (y^2-x^2)

Answer:

[tex] \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]

Solution,

[tex] \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{y - x} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{ - (x - y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} + \frac{5}{x - y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2 + 5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7(x + y) + 3(x - y)}{(x - y)(x + y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7x + 7y + 3x - 3y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ - ( {y}^{2} - {x)}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 4y - 7x + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 7x - 4y + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]

hope this helps...

Good luck on your assignment...

Answer:

x = -3/2                    x =0

Step-by-step explanation:

(2x+3) ^2 - 6x-9 = 0

Factor out -3 from the last 2 terms

(2x+3) ^2 - 3( 2x+3) = 0

Let m = 2x+3

m^2 - 3m = 0

Factor out m

m(m-3) =0

Using the zero product property

m=0  m-3 =0

m=0  m=3

Substitute 2x+3 back in for m since we are looking for the value of x

2x+3 =0                2x+3 =3

2x +3-3=0-3       2x+3-3=3-3

2x = -3                  2x=0

x = -3/2                    x =0

Answer:

Step-by-step explanation:

Consecutive exterior angles lie outside on the same side of a transversal.

So it should be 3,45 and 6

Answer:

450%

Step-by-step explanation:

Answer:

450%

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

AP 200, 196, 192, ...

a14=?

---------

a1= 200

d= 196-200=192-196= -4

a14= a1+13d

a14= 200+13*(-4)= 200- 52= 148

Answer:

9 inches and 15 inches

Step-by-step explanation:

The height of a trapezoid is 4 in.

Its area is 48 in^2.

Let a be one base and b be the second base.

One base is 6 inches longer than the other. This implies that:

a = 6 + b _________ (1)

The formula for the area of a trapezoid is given as:

[tex]A = \frac{1}{2}(a + b)h[/tex]

where h = height

From (1), we have that:

[tex]A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h[/tex]

We have that h = 4 and A = 48 in^2, therefore:

[tex]48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in[/tex]

=> a = 6 + 9 = 15 in

The bases are 9 inches and 15 inches long.

Answer:

1240 (I'm not so sure but per my calculation that is what i got)

Step-by-step explanation:

Boy     : Girl

11         :   9

124 + x :  x

11/9 = 124 + x / x

9(124 + x) = 11 x

1116 + 9x = 11x

1116 = 11x - 9x

1116 = 2x

x = 558

Thus, there are 558 girls in the school

Number of boys = 124 + x

                             = 124 + 558

                             = 682

Therefore, total number of students = 558 + 682 = 1240 students

Answer:

Each marker costs $.40 or 40 cents

Step-by-step explanation:

Take the total cost and divide by the number of markers

$6.00 /15

.40

Each marker costs $.40 or 40 cents

Answer:

the ladder is “c2” 15 X 15 =225

9 feet out is still squared to 81.

So c2 (225) - b2 (81) is 144 (a2)

Sqrt of 144 is 12. The ladder will be 12′ up the wall.

Answer: 12m

Step-by-step explanation:

P.S I'm emo

Answer:4.3216*10^-3

Step-by-step explanation:

Answer:

4.3216*10^(-3)

Step-by-step explanation:

Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

Given

Height of the wheel = 198

Perimeter of the wheel = 63

Height of the wheel is the diameter of the circle

Perimeter of the circle is  π × diameter of the circle

P = [tex]\pi[/tex] × d

198 = [tex]\pi[/tex] × 63

[tex]\pi[/tex] = [tex]\frac{198}{63}[/tex]

[tex]\pi[/tex] = 3.14

Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.

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Answer:

  5/4 x (54/48 + 105/75)

=  5/4 x (9/8 + 7/5)

=  5/4 x (45/40 + 56/40)

=  5/4 x 101/40

=  1/4 x 101/8

=  101/32

Hope this helps!

:)

Answer: 3/5/32

Step-by-step explanation:

5/4 x(54/48 + 105/75)

5/4 x (1/1/8 + 1/2/5)

5/4 x 2/21/40

1/1/4 x 2/21/40

3/5/32 ( 3 whole and 5 over 32)

HOPE THIS HELPS

Mark me as the brainiest answer

Answer:

c/d = 6

Step-by-step explanation:

Use the second equation.

c - 6d = 0

Add 6d to both sides.

c = 6d

Divide both sides by d.

c/d = 6

Answer:

[tex]\frac{17}{7}[/tex]

Answer:

B. A whale is a mammal that does not live on land.

Step-by-step explanation:

Self explanitory

Answer:

16.7 cm

Step-by-step explanation:

So B = 180 -A-C=180-58-75=47degree

sinB/AC = sinC/AB

sin47/AC=sin75/22

AC=16.65cm

Answer:

Upper P99 = 17 in.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 14.2, \sigma = 1.2[/tex]

Upper P99

This is X when Z has a pvalue of 0.99. So X when Z = 2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]

[tex]X - 14.2 = 1.2*2.327[/tex]

[tex]X = 17[/tex]

So

Upper P99 = 17 in.

Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.

Step-by-step explanation:

Answer:

Boys = 4/9

Girls = 5/9

Step-by-step explanation:

You add the ratio parts to find what the fraction is over.

5 + 4 = 9

Then you just need to know which part is boys and which is girls.

Boys to Girls = 4:5

Therefore Boys = 4/9 and Girls = 5/9.

Fraction of the class are boys = 4/9

Fraction of the class are girls = 5/9

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given:

ratio of boys to girls = 4:5

Now, total of the ratio is = 4+5 = 9

So, fraction of the class are boys = 4/9

and, fraction of the class are girls= 5/9

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Answer:

c.Right

Step-by-step explanation:

because of the 90 degrees it shows that it is 90 degrees

Answer:

B. scalene

C. right

Step-by-step explanation:

Answer:

e) 6

Step-by-step explanation:

18 divided by 3 equals 6