The sum of two numbers is 30. Their difference is 6. What are the numbers?

Answer:

Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.

Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.

Step-by-step explanation:

So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.

............, .......

Answer:

#5 more info is needed. #6 is a CD.

Step-by-step explanation:

#5 doesn't have the appropriate values given which in this case is how much money. #6 is most likely a CD because they tend to have bigger interest rates, unless if you needed to access it. If you needed to access this money, a savings account would most likely give you the best interest rates.

Answer:

y = - 4x + 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{x}{4}[/tex] - 2 ← is in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then

y = - 4x + c ← is the partial equation

to find c, substitute (4, - 1 ) into the partial equation

- 1 = - 16 + c ⇒ c = - 1 + 16 = 15

y = - 4x + 15 ← equation of perpendicular line

Answer:

y = - 4x + 15

Step-by-step explanation:

Answer:

D) 2x^2 + x -6

Step-by-step explanation:

(2x^2 - 8) + (x+2)

combine like terms

2x^2 + x -6

Answer:

x = 25

Step-by-step explanation:

Use Pythagoras' Theorem [tex]a^s+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse of a right triangle

[tex]\implies 7^2+24^2=x^2[/tex]

[tex]\implies 49+576=x^2[/tex]

[tex]\implies 625=x^2[/tex]

[tex]\implies x=\sqrt{625}[/tex]

[tex]\implies x=\pm25[/tex]

[tex]\implies x = 25[/tex] only, as distance is positive

Use Pythagorean theorem

[tex]\\ \rm\longmapsto x^2=24^2+7^2[/tex]

[tex]\\ \rm\longmapsto x^2=576+49[/tex]

[tex]\\ \rm\longmapsto x^2=625[/tex]

[tex]\\ \rm\longmapsto x=25[/tex]

Answer:

x-intercept = 3/4

y-intercept = -3

Step-by-step explanation:

4x - y = 3 (Given)

To find x-intercept plug y = 0 in the given equation.

4x - 0 = 3

4x = 3

x = 3/4

To find y-intercept plug x = 0 in the given equation.

4(0) - y = 3

0 - y = 3

- y = 3

y = -3

Answer:

no

no

yes

yes

yes

Step-by-step explanation:

integers can only be whole numbers

just simplify to find out

a) not whole number

b) not whole number

c) whole number

d) 14/7 = 2; whole number

c) -12/2 = 6; whole number

a and b = NO

c, d, e =  YES

Answer:

10/6

Step-by-step explanation:

1 1/2=3/2

3/2: We need it to be /6. Multiply 3 by the top and bottom. 9/6

9/6+1/6=10/6

Answer:

A= 21

Step-by-step explanation:

a=19.5+1.5=21

21+2.9=23.9

2(21)-18.1

Lines AB and CD are congruent.

Answer: 91/8 I believe

Step-by-step explanation:

Answer:

y - 5 = -3(x + 3)

Step-by-step explanation:

A parallel line has the same slope but different y-intercept

So the slope of our line is -3

We also have our x1 and y1

So input that into the point-slope formula : y - y1 = m(x - x1)

The equation of the line is [tex]\boxed{\text{y - 5 = -3(x + 3)}}[/tex]

-Chetan K

Answer:

5 = -3(x + 3)

Step-by-step explanation:

i got it right

Answer:

21cm

Step-by-step explanation:

Solution,

Length of fish=40mm=40/10=4cm

Length of pig=25cm

Now,

Difference of their length=25cm-4cm=21cm

Hence,the pig is 21cm long than the fish

Answer:

So your best bet is everyone is equally eligible although I dont really know wait for other answers

Step-by-step explanation:

Answer:

Well your trying to find meters per second.

So it’s a unit rate question.
In order to find the unit rate you divide the original by the newest.
In this case it’s (c) or -4.9/.71

Answer:

can you complate this heart

Using linear functions, it is found that:

A linear function is modeled by:

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

In which:

Paisley is 315 miles away from the stadium, and driving at a speed of 42 miles per hour, hence for the linear equation for his distance after t hours, we have that:

m = -42, b = 315, then:
P(t) = 315 - 42t.

Damian is 383 miles away from the stadium, and driving at a speed of 59 miles per hour, hence for the linear equation for his distance after t hours, we have that:

m = -59, b = 383, then:

D(t) = 383 - 59t.

After 5 hours, their distances are:

P(5) = 315 - 42(5) = 105

D(5) = 383 - 59(5) = 88

D(5) < P(G), hence Damian is closer to the stadium 5 hours after noon.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

r=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3r = 30 \\ \frac{3r}{3} = \frac{30}{3} \\ r = 10 \\ [/tex]

Answer:

D

Step-by-step explanation:

y=mx+b (line equation)

m=(y2-y1)/(x2-x1) (slope formula)

insert the coordonates

m=(6--6)/(1--3) find the slope

m=12/4m=3 after fiinding the slope you can substitute x and y and find b

y=3x+b

(1,6)

6=3*1+b

6=3+b

b=3

y=3x+3

Answer:

15/5= 3

Blue Squares: 3*2= 6

Green Squares: 3*3= 9

The variance of a distribution is the square of the standard deviation

The variance of the data is 9

The given parameters are:

Mean = 9 cars

Distribution type = Poisson distribution

The variance and the mean of a Poisson distribution are equal.

So, we have:

Variance = 9 cars

Hence, the variance of the data is 9

Read more about variance at:

https://brainly.com/question/15858152

Answer:

Ratio of circumferences: [tex]\displaystyle\frac{1}{4}[/tex]

Ratio of radii: [tex]\displaystyle\frac{1}{4}[/tex]

Ratio of areas: [tex]\displaystyle\frac{1}{16}[/tex]

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is [tex]\pi[/tex]

- The circumference of Circle L is [tex]4\pi[/tex]

Therefore, the ratio of their circumferences would be:

[tex]\displaystyle\frac{\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified

The formula for circumference is [tex]C=2\pi r[/tex], where r is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is [tex]\pi[/tex], or [tex]1\pi[/tex], then its radius is [tex]\displaystyle\frac{1}{2}[/tex].

If the circumference of Circle L is [tex]4\pi[/tex], then its radius is [tex]\displaystyle\frac{4}{2}[/tex], which is 2.

Therefore the ratio their radii would be:

[tex]\displaystyle\frac{\frac{1}{2}}{{2}}[/tex] ⇒ [tex]\displaystyle\frac{1}{2}*\frac{1}{2}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified

The formula for area is:

[tex]A=\pi r^2[/tex]

First, let's find the area of Circle K:

[tex]A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi[/tex]

Now, let's find the area of Circle L:

[tex]A=\pi (2)^2\\A = 4\pi[/tex]

Therefore, the ratio of their areas would be:

[tex]\displaystyle\frac{\frac{1}{4}\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{\frac{1}{4}}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{4} * \frac{1}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{16}[/tex] when simplified

I hope this helps!

Answer:

8.2

Step-by-step explanation:

The sample standard deviation measures the spread ofa data distribution of the sample. It is usually used toestimate the population standard deviation.

Answer:

Here is your Answer

Step-by-step explanation:

Please mark me Brainliest

Answer:

80cm

Step-by-step explanation:

8 x 6/4 = 20

20 x 4 = 80

Answer:

0.5

Step-by-step explanation:

Hannah is in labor, she is 8 centimeters dilated. Shown in the diagram. Now, the perimeter of her puhtay and her child's head are 6/4. The fatctor of this is square b. Not a. To make Hannah's labor smooth, we need to figure out how much more she needs to dilate. since she is 8 centimeters, and the baby's head is 6/4. she will need 3 more centimeters until it is able to come out correctly. I hope this answered your question!! would love to answer more.

:)

Answer:

f(0)=2

Step-by-step explanation:

f(x)=-3x +2

f(0)=-3(0) +2

f(0)= 0 +2

f(0)=2

answer:

2x²+2x-12

explanation:

(x + 3) (2x – 4)                           [ open the bracket ]

x(2x) -4(x) +3(2x)+ 3(-4)             [ multiplication ]

2x²-4x+6x-12                             [ simplify ]

2x²+2x-12                                  [ final answer ]

Answer:

We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.

We will get the polynomial: p(x) = 2 * x² + 2 * x - 12

Step-by-step explanation:

We just want to multiply (x + 3) and (2*x - 4).

So we start by writing:

(x+3) * (2*x-4)

Now we just expand this:

(x+3) * (2*x-4) = 2 *  x² + x * (-4) + 3 * (2 * x) + 3 * (-4)

Now we need to simplify the above expression:

2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12

This is the polynomial we wanted to get:

p (x) = 2 * x² + 2 * x - 12

If you want to learn more, you can read:

brainly.com/question/11536910

Answer:

1 5/8

Step-by-step explanation:

Transform the expression

7/8 + 3/4

Write all numerators above the least common denominator 8

7+6/8 = 13/8 = 1 5/8

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Answer:

soln

here,

area of a rectangle =70cm *

breadth = 7m

we know,

area (a)=l×b

70=l×7

70=7l

70÷7=l

10=l

therefore, itslength is 10m

again,

perimeter (p)=2(l+b)

=2(10+7)

=2×17

=34cm

therefore, its perimeter is 34cm.