(7x+2)=(x+8) find the measure of DCE

The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

The equation of a circle with centre (a,b) and radius r is given by (x-a)^2 + (y-b)^2 = r^2.

C1 has centre (0,0) and radius 2, so its equation is (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4.

C2 touches the x and y axes each in one point, so it must have a centre on the line y=x and a radius equal to the distance from the centre to either of those points of tangency. Since the centre of C2 is on the line y=x and it is in the first quadrant, the coordinates of the centre are (1,1). The distance from the centre to the point of tangency on the x-axis is 1, so the radius is 1. The equation of C2 is (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

Therefore, The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

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Step-by-step explanation:

Q7) 10% of 30=3

40% of 30 =3×4=12

30-12=18

the sale price of radio is 18

q8)purchase lose lemmons:0.99÷2=0.495

Bag of 6=2.50÷6=0.4166666667

so the better value is the bag of 6 for 2.50.

Answer:

y=x+5

Step-by-step explanation:

Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.

Answer:

Maximum distance covered by John = 22.8 miles

Step-by-step explanation:

The cab company charges a flat fee of $2.25 plus $0.55 per mile.

Amount of money John has = $y

Let the number of miles traveled in $y = x miles

If John finds a cab charging same fee and $0.45 per mile,

y ≤ 2.25 + 0.45x

y - 2.25 ≤ 0.45x

\(x\leq \frac{(y-2.25)}{0.45}\)

Therefore, inequality representing the maximum distance covered by John,

\(x\leq \frac{(y-2.25)}{0.45}\)

If, y = $12.52

\(x\leq \frac{(12.52-2.25)}{0.45}\)

x ≤ 22.8 miles

Therefore, John will be able to travel the maximum distance = 22.8 miles.

Answer:

x ≤ 22.8 miles

John will be able to travel the maximum distance of 22.8 miles.

Step-by-step explanation:

I hope this helps

Answer:

-30, if I didnt mess up the work

Step-by-step explanation:

2^3-8(2^2)-9(2)+12

8-32-18+12=

20-50=-30

Answer:

it is H

Step-by-step explanation:

4-3 is 1 and there is 12 total objects so it is 1/12

The best prediction the price will do next is keep increasing.

What is stock price?

The price at which one share of a company would be purchased is known as the share price or stock price. A share's price is not constant; rather, it changes over time in response to market factors. It is likely to rise if the business is thought to be doing well or fall if it isn't living up to expectations.

A company's price rising more quickly indicates that investors are supporting the rally and that the stock will rise further.

On the other hand, a declining price trend with high volume suggests a possible downward trajectory. A high trade volume could also indicate a change in trend.

Hence, the best prediction the price will do next is keep increasing.

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The vertical components of the forces in member CG and GH is the same and can be obtained by considering the vertical equilibrium of the joint C.\(CG/2 = CH/2 + 25GH/2\)

Given: Load P3 = 50 + 10 x 3 = 80 kN The truss structure and free body diagram (FBD) of the truss structure is shown below: img For the determination of forces in the members GH, CG, and CD for the given truss structure, the following steps can be taken:

Step 1: Calculate the reactions of the support Due to the equilibrium of the entire structure, the vertical force acting at point D must be equal and opposite to the vertical component of the forces acting at point C and G.

From the FBD of the joint G, we can write: GH/ sin 45 = CG/ sin 90GH = CG x sin 45Hence, CG = GH / sin 45

The horizontal component of the force in member CG and GH is zero due to symmetry.

Therefore, CG/2 + GH/2 = VC , the above equation can be written.

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Answer:1 5/24

Step-by-step explanation:

Answer:

8.025

Step-by-step explanation:

If you count the zeros in 1000, it's three. Count three starting from the back of 25. Add 0 in front of 25 to make it a three digit number. You then put the decimal point with the whole number.

Answer:

B. 8.025

Step-by-step explanation:

Hope it helped!

Answer:

(x1y1)= (-8,-4)

(x2y2)= (4,-4)

here

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

= 0/ 12

= 0

Step-by-step explanation:

0

The solution to the initial value problem y′=6cosx 2 with y(3π2)=5 is: y = 6sin(x) + 11. This can be answered by the concept of differential equation.

To solve the initial value problem y′=6cosx 2 with y(3π2)=5, we need to first integrate the given differential equation with respect to x to obtain the general solution.

Integrating y′=6cosx 2 with respect to x gives y = 6sin(x) + C, where C is the constant of integration.

Next, we use the initial condition y(3π2)=5 to find the value of C.

Substituting x = 3π2 and y = 5 into the equation y = 6sin(x) + C, we get:

5 = 6sin(3π/2) + C

5 = -6 + C

C = 11

Therefore, the solution to the initial value problem y′=6cosx 2 with y(3π2)=5 is:

y = 6sin(x) + 11

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The equation of the tangent line to the curve y + e^x = 2e^xy at the point (0, 1) is y = -x + 1. The correct answer is (b).

To find the equation of the tangent line to the curve y + e^x = 2e^xy at the point (0, 1), we need to find the slope of the tangent line at that point.

First, we can take the derivative of both sides of the equation with respect to x using the product rule:

y' + e^x = 2e^xy' + 2e^x

Next, we can solve for y' by moving all the terms with y' to one side:

y' - 2e^xy' = 2e^x - e^x

Factor out y' on the left side:

y'(1 - 2e^x) = e^x(2 - 1)

Simplify:

y' = e^x / (1 - 2e^x)

Now we can find the slope of the tangent line at (0, 1) by plugging in x = 0:

y'(0) = 1 / (1 - 2) = -1

So the slope of the tangent line at (0, 1) is -1.

To find the equation of the tangent line, we can use the point-slope form of a line:

y - 1 = m(x - 0)

Substituting m = -1:

y - 1 = -x

Solving for y:

y = -x + 1

Therefore, the equation of the tangent line to the curve y + e^x = 2e^xy at the point (0, 1) is y = -x + 1. The correct answer is (b).

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Step-by-step explanation:

These two angles are same side corresponding interior angles so they are equal to each other

\(5x + 20 = 120\)

\(5x = 100\)

\(x = 20\)

Answer:

Step-by-step explanation:

Answer:

\(\displaystyle -0.\overline{37}=-\frac{37}{99}\)

Step-by-step explanation:

Convert a Repeating Decimal to a Fraction

We need to convert the following decimal to a fraction:

\(-0.\overline{37}\)

Let's call x to the given number:

\(x=-0.\overline{37}\)

The number has two repeating (periodic) decimals, thus we multiply by 100:

\(100x=-37.\overline{37}\)

Note the decimals continue to repeat exactly like the original number.

Subtracting both expressións, the repeating decimals are simplified:

\(100x - x = -37\)

Operating:

99x=-37

Dividing by 99:

\(\displaystyle x=-\frac{37}{99}\)

The fraction cannot be simplified, thus:

\(\mathbf{\displaystyle -0.\overline{37}=-\frac{37}{99}}\)

The variable d in the given equation represents the number of minutes that Lilianna spends walking to the park.

Calories that Lilianna uses by sitting = 3/4

Calories that Lilianna uses by walking = calories used sitting + 1 : 1 + 3/4

Calories that Lilianna uses when she walks to the park = calories used per minute when walking x number of minutes spent walking.

Calories that Lilianna uses when she walks to the park = d(1 + 3/4)

12 1/4 = d(1 + 3/4)

d - 12 1/4 ÷ 1 3/4

d = 49 / 4 x 4/7

d = 7 minutes

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Answer:

25 hits

Step-by-step explanation:

you would divide 1000 by 40 and get 25

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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Step-by-step explanation:

it's obviously the equation is equals to zero,

-12x + 16 = 0

-12x = -16

-12. 12

like terms cancel each other to remaining with x

thus,

x = 4/3

4x - 12 = 0

4x = 12

4. 4

like terms cancel each other to remaining (make x subject of the formula) with x

thus,

x = 3

Answer:

21x^2 + 7x

Step-by-step explanation:

The formula for the area of a rectangle is L x W. The length in this case is 3x+1 and the width is x. Multiply those together and you get 3x^2 + x.

The formula for the area of a triangle is 1/2BH. When you plug in the numbers, the area of the triangle is 24x^2 + 6x.

Now, you want to subtract the area of the triangle from the area of the rectangle. When you do this, you get your answer: 21x^2 + 7x.

Answer:

2.5 hours

Step-by-step explanation:

60+2t=40+10t

hope this helps, have a great day :)

The value of x is 45° for the Newton bounces a ball off of a wall to Descartes as shown in figure.

An angle that is exactly 90 degrees, or a quarter turn, is called a right angle. It is made up of two lines that are perpendicular to one another or line segments that cross at a point, forming four equal angles.



If we consider the figure below we can find some angles and AD is a Straight line;    (Refer the below figure 2)

⇒ ∠AOB + ∠BOC+ ∠DOC = 180°

⇒ x° + 90° + x° = 180°

⇒ 2x° = 180° - 90°

⇒ x° = 90°/ 2

⇒ x° = 45°

Therefore, the value of x is 45°

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Complete question-

According to the figure, x is 45° when Newton bounces a ball off of a wall and Descartes.

Right angles are angles that are exactly 90 degrees, or a quarter turn. It is composed of two parallel lines or line segments that cross at a place to produce four equal angles. It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

If we look at the graphic below, we can see that AD is a straight line and there are certain angles;

∠AOB + ∠BOC+ ∠DOC = 180°

x° + 90° + x° = 180°

2x° = 180° - 90°

x° = 90°/ 2

x° = 45°

Therefore, the value of x is 45°

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The complete question is attached below,

Answer:

Probability=

(number if outcomes favourable)/(total number of outcomes)

Therefore P(no red/green)=1-(8/21+6/21)

=1-(8+6)/21=1-14/21=(21×1-14)/21=(21-14)/21

=7/21=1/3 ans

Step-by-step explanation:

Answer:

I think the constraint of proportionality is 25 because each dot it increases buy 25.

I also believe that at 10 the total should be at 225.

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.

To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.

Let's denote the exchange rate of euro/pound as E.

Given:

Exchange rate of dollar/pound = 1.21 dollar/pound

Exchange rate of dollar/euro = 1.22 dollar/euro

To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:

E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)

E = 1.22 dollar/euro / 1.21 dollar/pound

Simplifying this expression, we get:

E = 1.01 euro/pound

Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.

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Using the arithmetic operations, the total change in her monthly electric bill over 5 months is +$10.58

For the past 5 months,

The change in her July electric bill = +$18.02

The change in her August electric bill =  +$1.03

The change in her September electric bill = -$0.44

The change in her October electric bill = -$6.84

The change in her November electric bill = -$1.19

The total change in her monthly electric bill over 5 months = Sum of all changes in her electric bill over 5 months

= +18.02+1.03-0.44-6.84-1.19

= +$10.58

Hence, the total change in her monthly electric bill over 5 months is +$10.58

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