the sum of two numbers is 45 and the different is 21.what are the numbers

Answer:

[tex]\boxed {d = 15}[/tex]

Step-by-step explanation:

Use the Distance Formula to help determine the distance between two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute both given points:

[tex](x_{1}, y_{1}) = (6, 4)[/tex]

[tex](x_{2}, y_{2}) = (-6, -5)[/tex]

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]

[tex]d = \sqrt{144 + 81}[/tex]

[tex]d = \sqrt{225}[/tex]

[tex]\boxed {d = 15}[/tex]

Therefore, the distance is [tex]15[/tex].

Answer:

y=5x-3

Step-by-step explanation:

it just is

Answer:

y=5x-3

Step-by-step explanation:

Answer: A

Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A

Answer:

[tex](7,-11)[/tex]

Step-by-step explanation:

Given

[tex]S = (1,5)[/tex]

[tex]M = (4,-3)[/tex]

Required

Determine the coordinates of T

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (4,-3)[/tex]

[tex](x_1,y_1) = (1,5)[/tex]

Substitute these values in the above formula:

[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]

[tex](8,-6) = (1 + x_2,5+y_2)[/tex]

By direct comparison:

[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]

Solving for x2

[tex]1 + x_2 = 8[/tex]

[tex]x_2 = 8 - 1[/tex]

[tex]x_2 = 7[/tex]

Solving for y2

[tex]5 + y_2 = -6[/tex]

[tex]y_2 = -6 - 5[/tex]

[tex]y_2 = -11[/tex]

Hence, the coordinates of T is: [tex](7,-11)[/tex]

Answer: $2528.56  is the answer because if you do the problem you should get something like this

A=P(1+r/n)^nt

Plug in the values:

P=1400, r=6/100=0.6,

n=2 and t=10

A=1400(1+.06/2)^2(10)

A=$2528.56

Hope it helped

Yours,

Nathaniel

Step-by-step explanation:

Answer: y = -3/4x - 0.75

Step-by-step explanation:

The slope needs to be negative so that it's perpendicular to

y = 3/4x - 1

The equation then looks like this

y = -3/4x

We can get an exact y intercept number by using the cordinates

Lets input cordinates (3,-3)

-3 = -3/4(3)

-3 = -2.25 - 75 ( I inferenced )

-3 = -3

now that we got the y intercept lets put it all together

y = -3/4x - 0.75

Answer:

In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.

Answer:

z=44/3

Step-by-step

Subtract the numbers 52-12=40

3z-4=40

Add 4 to both sides

3z-4+4=40+4

SImplify

3z=44

Divide both sides by 3

3z/3 = 44/3

z=44/3 or decimal form= 14.66

Answer:

The answer is B) 1

Step-by-step explanation:

balls

Answer:

the y co-ordinate > 9

Step-by-step explanation:

I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!

Hope this helps!

Answer:

1650

Step-by-step explanation:

75x22+1650

Answer:

I think that it is negative

Step-by-step explanation:

Answer:

unit price for 11.3-ounce package = $0.25

unit price for 27.8-ounce package =  $0.23

27.8-ounce package is the better buy

Step-by-step explanation:

An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.

a) 11.3-ounce package

11.3 ounces = $2.88

1 ounce = $2.88 ÷ 11.3

1 ounce = $0.25

b) 27.8-ounce package

27.8 ounces = $6.48

1 ounce = $6.48 ÷ 27.8

1 ounce = $0.23

$0.25 > $0.23

Answer:

Step-by-step explanation:Let our two numbers be  a  and  b . Then we can see that  a+b=8  and  ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3  by the binomial expansion. Now we have all the information to solve this, observe since  a+b=8  and  ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3  

a3+b3+3ab(a)+3ab(b)=83  

a3+b3+3ab(a+b)=83  

a3+b3=83−3ab(a+b)  

a3+b3=83−3(15)(8)=512−360=152  

You can also observe that  3  and  5  fulfill those conditions so, then  33+53=27+125=152 . Which is our result.

Answer:

whith whut

Step-by-step explanation:

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Answer:

[tex]Volume = 5028.6cm^3[/tex]

Step-by-step explanation:

Given

[tex]Height = 10cm[/tex]

[tex]Diameter = 8cm[/tex]

Required

Determine the volume

The volume of a cylinder is calculated as thus:

[tex]Volume = \pi r^2h[/tex]

Where [tex]r = radius[/tex]

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 8cm[/tex]

[tex]r = 4cm[/tex]

[tex]h = 100cm[/tex]

Take

[tex]\pi = \frac{22}{7}[/tex], so we have

[tex]Volume = \pi r^2h[/tex]

[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]

[tex]Volume = \frac{22}{7} * 16 * 100[/tex]

[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]

[tex]Volume = \frac{35200}{7}[/tex]

[tex]Volume = 5028.6cm^3[/tex]

Answer:

81.88 is the answer

Step-by-step explanation:

Answer:

The answer would be 100/3

Step-by-step explanation:

Answer: 33 1/3% as a fraction is 1/3. It cannot be simplified. Hope this helps!

Answer:

multiply, add, then subtract so your answer should be 4

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

(please excuse my dear aunt sally)

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

[tex]y = -3x+5[/tex]

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Answer:

how do u know how many extraneous solutions there is?

Step-by-step explanation:

To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.

Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes

Step-by-step explanation:

Please can I have brainliest I need one more to rank up

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!