In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

https://brainly.com/question/2416165

Answer:

y = 3/2 x + 9/2

Step-by-step explanation:

3x - 2y = 5

3x - 5 = 2y

3/2 x - 5/2 = y

y = 3/2 x - 5/2, slope of this line m = 3/2.

For parallel line slope is the same.

y = mx + b

y = 3/2 x + b

Using point (-1,3) , we can find b.

3 = (3/2)*(-1) + b

3 = -3/2 + b

b = 3 + 3/2 = 6/2 + 3/2 = 9/2

y = 3/2 x + 9/2

Answer:

x=-2/3

Step-by-step explanation:

Answer:

x = -2/3

Step-by-step explanation:

don't feel like writing all the fractions but basically isolate the X and the fractions. add them in a calculator divide by the coefficient thats left with x and there you go

Answer:

Step-by-step explanation:

[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]

Answer:

-2

Step-by-step explanation:

3-5= -2

Answer:

x = 358. / Maximum amount of money for sales = $3,759

Step-by-step explanation:

x + 26 = 384. Inverse operations

-26. -26

x = 358

358($10.50) = $3,759

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

Answer:

40 feet

Step-by-step explanation:

Since x=4

3x-4=3(4)-4=12-4=8 feet

x^2-1=4^2-1=16-1=15 feet

2x^2-15=2(4)^2-15=2(16)-15=32-15=17 feet

Perimeter=8+15+17=40 feet

Answer:

6 feet

Step-by-step explanation:

The dolphin jumps 3 feet above sea level and it starts from the opposite distance below sea level.

This means that it starts from 3 feet below sea level.

The total distance the dolphin travels from its starting point to the top of the jump is therefore:

3  + 3 = 6 feet

Answer: A (4, -7) B (9, -7)

Step-by-step explanation:

When it’s reflected over the x-axis, the y coordinates become negative but the x coordinates don’t change

x coordinates: 4, 9

y coordinates: 7, 7

Reflected over x-axis: (4, -7), (9, -7)

Answer:

D. The true answer is D. -2<x<2

Answer:

Step-by-step explanation:

I use  84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

y=-25.31428571x+51603.54286

y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

Using the line of best-fit, it is found that:

---------------------

The line of best-fit is given by:

[tex]y = bx + a[/tex]

[tex]b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}[/tex]

---------------------

The means are given by:

[tex]\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5[/tex]

[tex]\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937[/tex]

---------------------

The sums are:

[tex]\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)[/tex]

[tex]\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)[/tex]

Using a calculator:

[tex]\sum (x - \overline{x})(y - \overline{y}) = -443[/tex]

[tex]\sum (x - \overline{x})^2 = 17.5[/tex]

Thus, the slope is:

[tex]b = -\frac{443}{17.5} = -25.31[/tex]

And

[tex]y = -25.31x + a[/tex]

---------------------

Using the means to find a:

[tex]y = -25.31x + a[/tex]

[tex]937 = -25.31(2.5) + a[/tex]

[tex]a = 1000[/tex]

Thus, the linear regression model is:

[tex]y = -25.31x + 1000[/tex]

---------------------

The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:

[tex]y = -25.31x + 1000[/tex]

[tex]543 = -25.31x + 1000[/tex]

[tex]25.31x = 1000 - 543[/tex]

[tex]x = \frac{1000 - 543}{25.31}[/tex]

[tex]x = 18.1[/tex]

2008 + 18 = 2026

The estimate is that the number of cases would reach 543 in the year of 2026.

A similar problem is given at https://brainly.com/question/21826199

Answer:

I'm 13 so I'll be able to imagine this.

Step-by-step explanation:

-depression

-worry of afterlife

-insecurity

-increased fear of losing other family members

-untrust

-just general sadness

-feeling like it is your fault/blaming yourself

Answer:

You can prove that they are the same because 2 angles opposite each other are equal the same.

Hope this helps

Answer:

I answered this already for you :) Check your other question

Answer:

k= [tex]\frac{x^{2}+6 }{2x}[/tex]

Step-by-step explanation:

x(x−2k)+6=0

Step 1: Add -x^2 to both sides.

−2kx+x2+6+−x2=0+−x2

−2kx+6=−x2

Step 2: Add -6 to both sides.

−2kx+6+−6=−x2+−6

−2kx=−x2−6

Step 3: Divide both sides by -2x.

−2kx /−2x  = −x2−6 /−2x

k =

Answer:

A perpendicular line is a line that meets a 90 degree angle.

Step-by-step explanation:

Think of the letter L

the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.

Thats the best way I can explain it.

Hope this helps and please mark me brainliest if it did :)

Answer:

Hey!

Your answer is B. Lines that meet at a 90 degree angle!

Step-by-step explanation:

Just think of an L or something...

The 2 lines meet together and you can then see close to the area they meet at 90 degree angles...

Explanation:

The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.

The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.

If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.

Answer:

a) It is not the case that the dress is yellow

a) The dress is multicolored

b) Mary has been exercising

step-by-step explanation:

The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.

For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.

Answer:

y = -2

Step-by-step explanation:

Plug in 3 for x

y = -2 (3) + 4

y = -6 + 4

y = -2

I hope this helps :))

Answer:

X=51/7, Y= -36/7

Step-by-step explanation:

X/3 + 2y/3 = -1 equ 1

X - y/3 = 9 equ 2

eliminate X/3.

X/3 + 2y/3 = -1..... x 1 ( co-efficient of X in equ2 )

X - y/3 = 9 ...... x 1/3 ( co-efficient of X in equ1 )

X/3 + 2y/3 = - 1 equ 3

-

X/3 - y/9 = 3 equ 4

0 + 7y/9 = -4

y = -36/7

( input the value of y into equ 4 )

X/3 -y/9 = 3

X/3 - (-36/7)/9 = 3

X/3 + 36/63 = 3

X/3 = 3 - 36/63

X/3 = 153/63

63X = 459

X = 459/63

X = 51/7.

Answer:

D

Step-by-step explanation:

The total number of students is 15+12= 27

The ratio of girls to total students is 12/27 = 4/9

Answer:

7.5 % increase

Step-by-step explanation:

So,first we  know that Square is also a special type of Rectangle,

so consider a Square with side 100 unit ,

Initially, After increament in side

Length = 100 unit -(increases by 10% ,So 110% of 100)    NEW length = 110 unit

width = 100 unit (increases by 5% ,So 105% of 100)     NEW  width =     105

initially, Perimeter of Rectangle = 2 x (L + B)  = 2 x (100 +100)

                                                              = 400 unit

After increment in length and width

Perimeter of New Rectangle = 2 x (L + B)  = 2 x (110 +105)

                                                                     = 430 unit

So we can clearly see that there is an increase of 30 unit in perimeter from initial.

Therefore ,% increase in perimeter will be

                   (final perimeter - initial perimeter)/initial perimeter x 100

                      =  (430 - 400)/400 x 100

                      = 7.5 % increase

Answer:

increased by 8%

Step-by-step explanation:

Answer: the numbers are 250 and 931

Step-by-step explanation:

We have two numbers of 3 digits, A and B such that:

A/B = 3.724

A = 3.724*B

now we can divide the 3.724 in two parts

3.724 = 3 + 0.724

A = (3 + 0.724)*B = 3*B + 0.724*B

So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:

0.724*B is an integer.

for example, we can start at B = 1000, and then we will start to reduce the value of B

0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.

0.724*500 = 362.

Again, we have an even number, so we can take B = 250 and the result will be also an integer number.

0.724*250 = 181.

Ok, stop here, we can suppose B = 250, then we have:

A = 3.074*B = 3.724*250 = 931

Then the numbers are 250 and 931

Answer:

$270,000

Step-by-step explanation:

1. 3/10 = 30% and 30% of 3,000,000 is equal to 900,000

2. 900,000 divided by 1,000 is 90,000

Then, to calculate the dollar amount we do:

3. 90,000 x 3.00 = 270,000

In step 1, we found 3/10 of her total streams. In step 2, we found how many streams were monetized. And, in step 3 we found the amount of money she made off of those streams.

Hope this helps!

Answer:

Answer is below

Step-by-step explanation:

I graphed the equations on the graph below.

The slope of y = 4 and y = 5 is 0 because the lines are flat and constant, instead of increasing or decreasing.

Answer:The selling price of the outfit is $79.3

Step-by-step explanation:

18 + 12 + 35 = $65  

65* 22% = 14.3

14.3 + 65 = $79.3

or

100% + 22% =  122%

122% of 65

1.22 * 65 = 79.3

Answer:

x = -11

Step-by-step explanation:

-3x + 6 = 39

Combine Like Terms

-3x = 33

Divide Each Term then simplify

x = -11

Hope This Helps!

Answer:

x=-11

Step-by-step explanation:

In order to solve for x, we have to get x isolated.

To do that, we must perform the inverse operations to both sides of the equation.

-3x+6=39

6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

-3x+6-6=39-6

-3x=39-6

-3x=33

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3x/-3= 33/-3

x= 33/-3

x=-11

Answer:

C. (or the third graph)

Step-by-step explanation:

Answer:

The Answer is: (-2,1)

Step-by-step explanation: