Are lines segment Gl and HK congruent or not? ​

Answer: We can set up the formula: 2L +2W = 110. We can also set up length as 2x+1 and width as x so plug this in: 2 (2x+1)+2x=110. Expanded to: 4x+2+2x=110. Rewritten as: 6x=108.

Step-by-step explanation:

Step-by-step explanation:

the key is x = 0.

also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.

let's test it.

a linear function is a line :

y = ax + b

remember, x = 0 is a key element.

y = a×0 + b

-3 = a×0 + b

-3 = b

so, we know, the line function is

y = ax - 3

now, for the a. let's use the next xy pair (1, 1).

1 = a×1 - 3

4 = a

aha ! our line function is therefore

y = 4x - 3

verify with the next 2 points (2, 5) and (3, 9)

5 = 4×2 - 3 = 5 correct

9 = 4×3 - 3 = 9 correct

linear type and equation confirmed.

the second table :

yes, we see relatively big y values compared to the x values.

and the y values follow the powers of 2

so it seems to to be exponential.

64 = 2⁶

32 = 2⁵

16 = 2⁴

8 = 2³

so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.

the old trick : c-x.

again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.

64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶

=> c = 6

so, we suspect the exponential function

y = 2^(6-x)

let's verify with the other points

(1, 32)

32 = 2^(6-1) = 2^(5) = 32 correct

(2, 16)

16 = 2^(6-2) = 2^(4) = 16 correct

(3, 8)

8 = 2^(6-3) = 2^(3) = 8 correct

so, yes, it is the exponential function

y = 2^(6-x)

Answer:

17%

Step-by-step explanation:

2/12 or the eggs are cracked. That means 1/6 of the eggs are cracked.

1/6 approximately equals 0.167

So, it is approximately 16.7%, or if you round it up, 17%.

Answer:

16.67 %

Step-by-step explanation:

two of a dozen is 2/12 simplified is 1/6 and 1/6 in a percentage is 16.67%

Answer:

11 i think

Step-by-step explanation:

Answer:

[tex]-3.5[/tex]

Step-by-step explanation:

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}[/tex]

Given that,

[tex]a=(-3)\\b=(-1/2)[/tex]

So,

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}\\=(-3)^{3}-6* (-3)^{2} *\frac{-1}{2} +6*(-3)*(\frac{-1}{2} )^{2} -8*(\frac{-1}{2} )^{3} \\= (-27)-6*9*\frac{-1}{2} +-18*\frac{1}{4} -8*\frac{-1}{8} \\=(-27)-6*-4.5-4.5+1\\=-27+27-4.5+1\\=-3.5[/tex]

Hope this helps you

Let me know if you have any other questions :-)

9514 1404 393

Answer:

  (b)  -3

Step-by-step explanation:

The "initial value" is the constant in the equation. It is the value that remains when the x-term is removed. It is the result of evaluating the equation when x=0.

  y = -4(0) -3 . . . . substitute x=0

  y = 0 -3

  y = -3 . . . . the "initial value"

Answer:

what is your question all I see is numbers and shapes

Answer:

D.

Step-by-step explanation:

Answer:

x = 102°

Step-by-step explanation:

a straight line = 180°

180 - 78° = 102°

Answer:

x°+78°=180°[supplementry angle]

x°=180°-78°

x°=102°

answer

Answer:

-2/3

Step-by-step explanation:

The gradient of a line is its slope. You can just convert the equation to slope-intercept form (y=mx+b where "m" is the gradient/slope):

3y + 2x = 1

3y = 1 - 2x

y = 1/3 - 2/3x

y = -2/3x + 1/3

So, as we can see, -2/3 is the gradient/slope of the line.

Answer:

Step-by-step explanation:

-1

Let architect s income be x

AtQ

[tex]\\ \sf\longmapsto x+2x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x=249[/tex]

[tex]\\ \sf\longmapsto x=83[/tex]

[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]

The bag of dog food would last for 21 days.

The bag contains 42 cups of dog food. If the dog eats [tex]2\frac{1}{3}[/tex] cups everyday, the amount of cup in the bag decreases by [tex]2\frac{1}{3}[/tex] cups everyday. This can be represented with this expression: 42 - [tex]2\frac{1}{3}[/tex]d. Where d represents the number of days.

In order to determine the number of days in which the bag would be emptied, this equation can be used:

Number of days the dog food would last = number of cups in the cup / amount the dog eats each day

42 ÷ [tex]2\frac{1}{3}[/tex]

42 ÷ [tex]\frac{7}{3}[/tex]

42 x [tex]\frac{3}{7}[/tex] = 21 days

To learn more, please check: https://brainly.com/question/11801850?referrer=searchResults

Answer:

The slope is 1/4

Step-by-step explanation:

y2-y1 6-3 3 1

m= —— = —— = —— = ——

x2-x1 5+7 12 4

Answer:

[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]

Step-by-step explanation:

4x + y = z

4x = z - y

x = 1/4z - 1/4y

Answer:

move 7

Step-by-step explanation:

x + 3 y + 7

Answer:

Suppose the universal set is U = all whole numbers from 1 to 9. If A = {1, 2, 4}, then Ac = {3, 5, 6, 7, 8, 9}. As we saw earlier with the expression Ac ...

Let U be the set of whole numbers from 5-10 inclusive. Set A={5, 7, 9 ...

Answer:

a daddy

Step-by-step explanation:

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Answer:

   B.  3x+y=4

Step-by-step explanation:

The constant on the right is positive, so the signs of the coefficients match the signs of the respective intercepts. The graph shows both x- and y-intercepts are positive, so the equation will have positive coefficients everywhere. The appropriate choice is ...

  3x +y = 4

25% of 60 is 15

If divide 15 by 60 we find that it is eqyivalent to the ratio of 1/4. 1/4 is the same as 25%.

Answer:

25%

Step-by-step explanation:

25% means one fourth. 15 is exactly 1/4, or 25% of 60.

Hope it helps you! :)

[tex]GraceRosalia[/tex]

Answer:

open left

Step-by-step explanation:

We can distribute the left side to get [tex]3x-27<-18[/tex].

We can then add [tex]27[/tex] to both sides of the equation to get [tex]3x<9[/tex].

We can finally divide both sides of the equation to get [tex]x<3[/tex].

Because it's a [tex]<[/tex] and not a [tex]<=[/tex], it is closed. And because the inequality opens to the right, it faces to the left.

So, it is a open left graph.

Answer:

you would have sold 47 ham sandwiches each day of the weed

Answer:

Your answer would be 47 ham sandwiches.

Step-by-step explanation:

It is very simple you would just do 329/7=47

Step-by-step explanation:

sin x= P/H

sin x = 0.96 = 96/100 = 24/25.

Let the ratio of the sides be x.

B²=H²-P²

B²=(25x)²-(24x)²

B²=625x²-576x²

B²=49x²

B=√49x²

B= 7x.

cos x = 7x/25x = 7/25.

therefore, tan x = sin x / cos x = (24/25)/(7/25) = 24/25×25/7 = 24/7 .

hope this helps you.

Answer:

A:-18

B:-20

C:18

Step-by-step explanation:

Answer:

First point : (0, -3)

Second point : (2, 0)

Y-intercept : -3

Step-by-step explanation:

To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.

1.) 3x - 2y = 6

2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)

3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)

Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.

1.) 3x - 2(-3) = 6

2.) 3x + 6 = 6 (multiply (-2) and (-3))

3.)3x = 0 (subtract 6 on both sides using inverse operations)

4.) x = 0

Now you have your first point which is (0, -3)!

To get your last point, just substitute your y coordinate from the original equation to get x.

1.) 3x - 2(0) = 6

2.) 3x - 0 = 6

3.) 3x = 6

4.) x = 2

Then, substitute the x coordinate from above in the original equation to get the y coordinate.

1.) 3(2) - 2y = 6

2.) 6 - 2y = 6

3.) -2y = 0

4.) y = 0

Second coordinate : (2, 0)

I hope this explanation was helpful!

Answer:

x+y=12

Step-by-step explanation:

The integer that represents spending $50 is -50

Answer:

a. y=4

b. graph the given and y=4

Step-by-step explanation:

The given is y= 8 sin(x) cos(x)

to get y' which is the slope of the tangent line we take the derivative

for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')

thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))

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

You can also leave the 8 differentiated out depending on the form you need.

Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point

=8sin^2(pi/4)+8cos^2(pi/4)

this would equal -8*1/2 +8*1/2 which equals 0

the slope of the tangent at this point would be zero

To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)

this means the point slope equation would be

y-4=0(x-pi/4)

y-4=0

y=4

To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)

The values in the table represent a linear function.

The correct option is; Yes; The rate of change = 3/2

A linear function is a function forms a straight line when plotted on the coordinate plane.

The values in the table represent a linear function, where we get;

The first difference is constant

The subsequent x-values increase by the same value

The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant

The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3

The first difference is a constant, 3, therefore, the values in the table represent a linear function.

The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;

The rate of change = 3/2

The correct option is therefore; Yes, rate of change = 3/2

Learn more on linear functions here: https://brainly.com/question/29869165

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