The numerical coefficient in "6m" is:

Answer:

[tex]x=8.5^o[/tex]

Step-by-step explanation:

Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.

So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:

[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]

Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:

[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]

Answer:

A process where if two things are equal, one can be put in the place of the other and nothing will change

Step-by-step explanation:

Its like replacing :)

Answer:

A letter that holds the place for some unknown value in mathematics

Step-by-step explanation:

Well in all honesty subbing has many definitions depending on what it's used for so in what way are you implying that subbing is used for?

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

Answer:

Step-by-step explanation:

You have to first use the distributive property of 5(x+2)

That would be 5x+10.

So it would be all together

[tex]3x-2\leq 5x+2[/tex]

to see if it is true

x=2

6-2

[tex]6-2\leq 10+2\\4\leq 12[/tex]

it is true

Answer:

[tex]\fbox{\begin{minipage}{13em}approximately 5397.9 dollar\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months.

Solve for:

Total value of his investment.

Step 1: Define the formula to calculate the total value of Lachlan's investment

Total value = Principal x (1 + rate/2)^(Year x 2)

(the rate is divided by 2 and the year is multiplied by 2 because this is compounded semi-annual, not compounded annual)

Step 2: Perform the calculation:

With Principal = 4300$, Rate = 4.6% =4.6/100 = 0.046, Year = 5

=> Total value = 4300 x (1 + 0.046/2)^(5 x 2) ≈ 5397.9$

Hope this helps!

:)

Answer:

incorrect: y= -1.5x

correct: The slope is 3.

HOPE I HELPED!!!

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

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

m=(9-7)/(-6-(-2))

m=2/-4

m=-1/2

Answer:

D

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

X(- 1, - 3 ) → X'(- 3, 1 )

Y(0, 0 ) → Y'(0, 0 )

Z(1, - 3 ) → Z'(- 3, - 1 )

1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.

============================================================

Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

The equation that connects x and y, is,   y = 12/(x^2).

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value,

Hence, The equation that connects x and y, is,   y = 12/(x^2).

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Answer:

Step 1

Step-by-step explanation:

he added 4 to the other side instead of taking away 4

Answer:

step 1

Step-by-step explanation:

Answer:

I think the answer is 40.5

Step-by-step explanation: Because there are 4 and a half weeks in a month..... at the least. I may be wrong, just took a lucky guess. dont take my word for it.

Answer: y - 2 = 3/2(x + 1)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:

y - (2) = 3/2(x - (-1))

y - 2 = 3/2(x + 1)

Answer:

8x^4 - 28x^3 + 4x^2.

Step-by-step explanation:

4x(2x^3 - 7x^2  + x)

= 4 * 2x^3 + 4x*-7x^2 + 4x*x

= 8x^4 - 28x^3 + 4x^2.

Answer:

8[tex]x^{4}[/tex]-28x³+4x²

Step-by-step explanation:

4x(2x³-7x²+x)=

8[tex]x^{4}[/tex]-28x³+4x²

2x³ × 4x = 8[tex]x^{4}[/tex]

7x² × 4x = 28x³

x × 4x = 4x²

Answer:

The distance between the points is approximately 4.2 units.

Step-by-step explanation:

Use the distance formula. To calculate the distance between point (x1, y1) and (y1, y2), use the following formula:

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

[tex]\sqrt{(-3--6)^{2} + (2-5)^{2} }[/tex]

[tex]\sqrt{3^{2} + -3^{2} }[/tex]

[tex]\sqrt{9 + 9}[/tex]

[tex]\sqrt{18}[/tex]

≈ 4.2 units

Hope this helps :) Feel free to ask me any questions!

Answer:

"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."

Step-by-step explanation:

When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.

Hope this helps!

Answer:

[tex]5x^2+x-5[/tex]

Step-by-step explanation:

[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]

Hope this helps!

Answer:

17) A(-1,1) B(-1,4) C(5,1)

18) (From origin moving rightwards)

     A(0,0) B(a, 0) C(a,a) D(0,a)

Step-by-step explanation:

17) You just count the steps, how many steps left, right, up, or down

18) The first point is at the origin, so 0,0

    The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.

     The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.

      The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.

Answer:

Question 9: slope= 4

Question 10: 10x+5y = -25

Step-by-step explanation:

For question 9, since it is a linear function, you can think of it as y=mx+b. "m" is the slope value. In your instance, m=4 so the slope is 4. For question 10, you need to reorder it into y=mx+b by moving the -25 to the left side and moving the 5y to the right side. After you do this, you should get 10x+25=-5y. Then divide both sides by -5 to get -2x-5=y. Since m is a negative value, the function has a negative slope. Since the "b" value is the y-intercept and this case it's -5, the y-intercept of the equation is -5.

Answer:

Last option (the drawn)

Step-by-step explanation:

The following points correspond to f:

(3, -2), (9, 2)

The slope of the line (m) is:

m = (2 - (-2))/(9 - 3) = 4/6 = 2/3

Therefore, the first option is incorrect (its slope is 3/2).

To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:

y = mx + b

2 = 2/3(9) + b

b = 2 - 6

b = -4

Therefore, the third option is incorrect (it add 4 instead of subtracting 4).

Replacing x = 6 into the equation we get:

y = 2/3(6) - 4

y = 0

then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).

Answer: the 4th answer is correct

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

Answer:

y=-3x+5

Step-by-step explanation:

y²-y¹=gradient

x²-x¹

6-7=gradient

-3+6

-1/3=gradient

y-6/x+3=-1/3

y-6=-1/3(x+3)

y-6=-1/3x-1

y=-1/3x+5

Answer:

Zero

Step-by-step explanation:

Option C is correct, there are Infinitely many solutions are there to the system of equations.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The two lines are parallel, they have the same slope, which means that m is the same for both equations.

Therefore, the system of equations can be simplified to:

y = mx + b₁

y = mx + b₂

Subtracting the two equations, we get:

0 = b₁ - b₂

This means that the y-intercepts of the two lines are equal.

The two lines coincide with each other, and there are infinitely many solutions to the system of equations.

Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.

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Answer:

Your total fare including tip is $20.2

Step-by-step explanation:

Cost for first 0.5 mile = $ 3.20

Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.

It is 6.5 miles to your grandmother’s house.

So, remaining distance = 6.5-0.5=6 miles

Cost for 0.1 mile = $0.25

Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]

Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]

You plan to give the driver a $2.00 tip.

So, Total cost = $2+$3.2+$15=$20.2

Hence your total fare including tip is $20.2

Answer:

[tex]\frac{1}{3}[/tex]f + 5 = 23

Step-by-step explanation:

Let's put this statement into words: Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds.

This is an equation representing the weight of Fabiola's dog:

[tex]\frac{1}{3}[/tex]f + 5 = 23

I honestly have no idea what the diagram is supposed to mean, it'd be great if you could provide a picture :), then I'll edit my answer.

Answer:

The top section represents...........23 pounds

The bottom section represents..........5 + 1/3f

The equation is.........23 = 1/3f + 5

Step-by-step explanation:

Answer:

(f-1)

Step-by-step explanation:

If you substitute a for (f-1) you get the expression...

The value of a if the expression f² + g⁴ − 2f + 1 is rewritten in the form a² + (g²)2 is f

f² + g⁴ − 2f + 1

f(f - 2) + g⁴ + 1

a = f

Therefore, the value of a is f

Learn more about algebraic expression:

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Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

Answer:

(0,-2) and (1,1)

Hope this helps :)

Answer: (0,-2) & (1,1)

Step-by-step explanation:

correct answers ✅

119.80$

Step-by-step explanation:

if you add 15% to 104.17 is equal to 119.80

The cost of a phone is reduced by 15%. The new cost is $104.17. What was the original price of the phone?

Answer:

Actually, the answer is $694.47

Step-by-step explanation:

You use the equation % over 100 = is over of

so you put

15                  $104.17%

-             =         -

100                   x

cross multiply the $104.17 by 100 and divide by 15

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36