Which equation reprints a line passing through the point (8,16) with a slope of 3

Answer:

[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]

Answer:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=\displaystyle\frac{1}{2} x+5[/tex]

From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:

[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

I hope this helps!

Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

Answer:

False

Step-by-step explanation:

The slope is not constant

Answer:

Jackie

Step-by-step explanation:

Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.

We're given that

[tex]\displaystyle \int_{C_1} f(x,y,z) \,ds = 43.1[/tex]

and

[tex]\displaystyle \int_{C_2} f(x,y,z) \,ds = -15.9[/tex]

The closed loop formed by joining C₁ and C₂ is then C₁ U (-C₂), which is to say we follow C₁ normally, then traverse C₂ in the opposite direction. Then

[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds + \int_{-C_2} f(x,y,z) \,ds[/tex]

[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds - \int_{C_2} f(x,y,z) \,ds[/tex]

[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = 43.1 - (-15.9) = \boxed{59}[/tex]

Answer:

Enlargement (aka: Dilation)

Step-by-step explanation:

As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.

Answer:

dilation by a scale factor by 3 about (1, 0)

Step-by-step explanation:

it is dilation by a scale factor of 3

see the below picture to find the center of dilation formula

(2, 1)  (4, 3) points of transformation

center = (3*2 - 4 / 3 - 1,  3*1 - 3 / 3 - 1)

= ( 6 - 4 / 2,  0)

= (1, 0)

so single transformation is  dilation by a scale factor by 3 about (1, 0)

Answer:

50.24 cm

Step-by-step explanation:

50.24 cm

2

Explanation:

Using the formula,

Area

=

π

×

r

2

Here

π

is a button on your calculator you can find, but is also generally known as  

3.14

, you can use either one, but teachers usually prefer you use the  

π

button.

r

=

the radius, in your case, it's  

4 cm

So

Area

=

π

×

r

2

=

π

×

(

4 cm

)

2

=

16

π

cm

2

≈

50.24 cm

2

Answer:

There are 16 cows and 32 chickens on the farm.

Step-by-step explanation:

First, each cow and chicken has one head each, obviously. That means that the 48 corresponds to the total number of animals on Farmer John's farm. Since chickens have 2 legs and cows have 4 legs, that means that the 128 represents the separate amount of cows and chickens there are. We can let c equal the number of cows, and h equal the number of chickens. We know that the total number of animals is 48, so c + h = 48. We know that for each cow, there are 4 legs, and for each chicken there are 2 legs, so 4c + 2h = 128.

Now, we can solve by substitution. Multiplying the first equation by 2, we have 2c + 2h = 96. We can subtract this from the second equation to get 2c = 32, and c = 16. That means there are 16 cows on the farm, and since c + h = 48, there are 48 - 16 = 32 chickens on the farm.

The number of chicken are 32 and the number of cows is 16, 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows, and 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.

Given :

Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads in total.

a) Remember a cow has one head and 4 legs and a chicken has one head and 2 legs.

Let the total number of chickens be 'x' and the total number of cows be 'y'. Then the total number of heads are:

x + y = 48

x = 48 - y    --- (1)

The linear equation that represents the total number of legs is given by:

2x + 4y = 128   --- (2)

Now, substitute the value of 'x' in equation (2).

2(48 - y) + 4y = 128

96 - 2y + 4y = 128

2y = 32

y = 16

Now, substitute the value of 'y' in equation (1).

x = 48 - 16

x = 32

So, the number of chicken are 32 and the number of cows are 16.

b) 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows.

c) 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

The speeds are 74 mph and 87 mph.  

Step-by-step explanation:

Let x = speed of slower train

     x + 13 = speed of faster train

The trains meet when the sum of the distances = 483

3x + 3(x+13) = 483

6x + 39 = 483

6x = 444

 x = 74 mph

The speeds are 74 mph and 87 mph.  

Answer:

7/100

Step-by-step explanation:

:)

Answer:

-1.36

Step-by-step explanation:

(-4^2/0.8-3)/10×-4/5=-1.36

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.

In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.

Thus we get the following,

A = x

B = x

C = x + 10

We simply plug in these variables into the equation and solve for x:

x² + x² = (x+10)²

2x² = x² + 20x + 100

x² - 20x - 100 = 0

We solve for x by completing the square:

(x² - 20x + 100) - 100 = 100

(x-10)² -100 = 100

(x-10)² = 200

x - 10 = √(200)

x - 10 = 10 √2

x = 10 + 10√2 = 24

Finally,

A ≈ 24 (or 10 + 10√2)

B ≈ 24 (or 10 + 10√2)

C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)

Answer:

B) 400

Step-by-step explanation:

To find the value of n, you would have to divide 1600 by 4. 1600/4=400.

Answer:

400

Step-by-step explanation:

1600 4

Answer:

36 cm

Step-by-step explanation:

504/14=36

Answer:

324

Step-by-step explanation:

the answer 325

Answer:

[tex]\green{\rule{200pt}{555555pt}}[/tex]

[tex]\green{\rule{200pt}{555555pt}}[/tex]

[tex]\green{\rule{200pt}{555555pt}}[/tex]

[tex]\green{\rule{200pt}{555555pt}}[/tex]

[tex]\green{\rule{200pt}{555555p

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Answer:

Step-by-step explanation:

the answer is 10

Here is ur perfect answer

Answer:

Same thing here as the last question, just matching congruent angles.

1. ΔXZY ≅ ΔQRP

2. ΔQRS ≅ ΔSCD

3. ΔGHI ≅ ΔGHT

Step-by-step explanation:

hope this helps. . .<3

good luck!       UwU

Answer:

1.) ΔXZY ≅ ΔQRP

2.) ΔQRS ≅ ΔSCD

3.) ΔGHI ≅ ΔGHT

Hope this helps!

Answer:

8. B

9. B

10. B

thats my answer

Answer:

There will be 10 students in each van, and only 8 in one van

Step-by-step explanation:

26 + 32 = 58

Answer:

Step-by-step explanation:

A square has an area of base times height which is identical to base.

If x is the length of a side, A = x•x = x²

x² = 25

x = √25

x = 5 yards

Answer:

47 percent *900 =

(47:100)*900 =

(47*900):100 =

42300:100 = 423

Now we have: 47 percent of 900 = 423

Question: What is 47 percent of 900?

Percentage solution with steps:

Step 1: Our output value is 900.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$900=100\%$.

Step 4: Similarly, $x=47\%$.

Step 5: This results in a pair of simple equations:

$900=100\%(1)$.

$x=47\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{900}{x}=\frac{100\%}{47\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{900}=\frac{47}{100}$

$\Rightarrow x=423$

Therefore, $47\%$ of $900$ is $423$

Answer:

weel if you divide 82 by 2 then it you will get the number of cats which is 41 then add 82 + 41 =123

Step-by-step explanation:

mark me brainliest

Answer:

5

Step-by-step explanation:

50÷5=10-5=5

wished it helped.

Answer:

B. 0

Step-by-step explanation:

ax² + bx + 1 = 0

discriminant = b² - 4ac

4x² - 20x + 25

a = 4

b = -20

c = 25

b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0

Answer: B. 0

Answer:

Step-by-step explanation:

Use Pythagorean to verify:

As we see the equation is not true, so the answer is no

Let's use Pythagorean theorem to verify

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 5^2=4^2+2^2[/tex]

[tex]\\ \sf\longmapsto 25=16+4[/tex]

[tex]\\ \sf\longmapsto 25\neq 20[/tex]

Not a right triangle