Please solve the ques below:

Therefore , the solution of this is  the required system of equation is,

y=-x+6 and y=x+10.

A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.

Here,

(0,6) and the blue line pass through them (-2,8). You may figure out the equation for the blue line as,

=> y-6/x-0 =  8-6 /-2-0

=>y-6/x = 2/-2

=> y-6=-1(x)

y=-x+6

(-2, 8) and the red line pass through them (-3,7). The red line's equation can be calculated as,

y-8/x- (-2) = 8-7 /-2-(-3)

y-8 /x+2 = 1

y-8=x+2

y = x + 10

Thus, the required system of equations is,

y=-x+6 and y=x+10.

Therefore , the solution of this is  the required system of equations is,

y=-x+6 and y=x+10.

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The formula is written as (3x+9)(x+9) of + 36x + 81 = 0. A second-degree polynomial equation can be used to define quadratics.

Multiplying a variable by itself is the mathematical operation known as "squaring," which is frequently used to refer to a quadratic issue. This vocabulary is based on the notion that a square's area is equal to the sum of its side lengths. The word "quadratic" derives from the Latin quadratum, which meaning square.

here ,

[tex]= + 36x + 81 = 0\\= 3x^2 + 27x + 9x + 81\\= 3x(x+9) + 9(x+9)\\= (3x+9)(x+9)\\= 3(x+3)(x+9)[/tex]

factorized form is [tex](3x+9)(x+9) of + 36x + 81 = 0 .[/tex]

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The length of ribbon is 48 yards.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Kala got a prepaid debit card with $15.

Price of Ribbon = 24 cents per yard.

After purchase money left $3.48.

So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents

length of ribbon = 1152/ 24

                           = 48 yards

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Answer: Angle-Side-Angle Theorem

Step-by-step explanation:

The two triangles are shown to have congruent angles. By the Reflexive Property of Congruence, Side PM is shared and congruent between the two.

Because the angles are on either side (left and right) of the shared side, the triangles are congruent by the Angle-Side-Angle Theorem.

The effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream is that there will be more production and demand in the market.

This is referred to as a place where buyers and sellers can meet to facilitate the exchange or transaction of goods and services.

A decrease in the price of milk and input to ice cream means that production costs would fall, which will cause the suppliers to produce more thereby shifting the supply curve to the right with the demand for the goods being increased which is therefore the effect on the market.

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The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

What does rate of change mean?

An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then the rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.

Surafce area of a prism is equal to

2(Area of base) + (perimeter of base)(height)

2b^2+4bh

[tex]S=2b^2+4bh[/tex]

[tex]\frac{ds}{dt}=4b\frac{db}{dt} + 4b\frac{db}{dt} + 4h\frac{db}{dt} \\[/tex]

It is given that db/dt= -7 and dh/dt -=10.

At a particular instant b= 4km, h=9 km.

Now we will substitute the values in this formula:

[tex]\frac{ds}{dt}=-4*4*7-4*4*7+ 4*9*10\\\frac{ds}{dt}=136[/tex]

The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

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For 2 weeks tony will spent time for practice basketball is 10 hours.

Given data :

1st week

= Tuesday = 2 hours

= Wednesday = 1 hour

= Friday = 2 hours

same for 2nd week

so total hours = 1st week + 2nd week

                       =  2 + 1 + 2 + 2 + 1 + 2

                       = 10 hours

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The wheel is spinning at 23.80 miles per hour

The wheel speed in miles per hour can be calculated using the expression below:

Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),

where r is the radius of wheel , 60 converts minute to hour and 63360

converts inches to miles

Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)

Speed in miles per hour = 23.80 miles per hour

Thus, the wheel spins at  23.80 miles per hour

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Answer:

Yes

Step-by-step explanation:

A $79 unit plus HST will be 89.27

Answer:

x–2, x ≠ -3

Step-by-step explanation:

Solution in the diagram

So the formula to find the volume of a cone is,

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

Given,

To Find : The Volume of the cone

Applying the values we get,

[tex]V = 3.14X(3)^{2} X \frac{11}{3}[/tex]

[tex]V = 28.26X\frac{11}{3}[/tex]

[tex]V = 103.62in^{3}[/tex]

Hence , the volume of the cone is 103.62in³

The expression that represents the price of the video game after the discount is

p - 0.4p
Where p is the original price of the video game.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the video game = p

Discount = 40%

The price of the video game after the discount.

= p - (40% of p)

= p - (40/100)p

= p - 0.4p

Thus,

The expression is p - 0.4p.

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Answer:

A 1 in 4 chance or a probability of 0.25

Step-by-step explanation:

There is only 3 months that start with J and 12 months in a year so simplify 3/12 you get 1/4 or 0.25

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The table represents a quadratic function C(t).

 t          C(t)

−2           1

−1           4

0           5

 1           4

2            1

From the table, the coordinate of the vertex will be at (0, 5). Then the equation is given as,

C(t) = a(t - 0)² + 5

C(t) = at² + 5

The equation is passing through the point (1, 4), then we have

4 = a (1²) + 5

4 = a + 5

a = - 1

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

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The equation has one solution.

A value of x that makes the equation true is 6 which when substituted into the equation and simplified makes the equation turn into x = 0.

A value of x that makes the equation false is 8 which when substituted into the equation and simplified makes the equation turn into x = 2.

From the information provided, we have the following equation:

x - 6 = 6 - x

Rearranging the equation by collecting like terms, we have the following solution:

x + x = 6 + 6

2x = 12

x = 12/2

x = 6

Substituting the value "6" into the equation, we have the following solution;

x - 6 = 6 - 6

x - 6 = 0

Assuming x = 8, we have the following solution;

x - 6 = 8 - 6

x - 6 = 2

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Complete Question:

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.

x - 6 = 6 - x

The equation has _____.

A value of x that makes the equation true is ___ which when substituted into the equation and simplified makes the equation turn into ____.

A value of x that makes the equation false is ___ which when substituted into the equation and simplified makes the equation turn into ___.

Answer:

9 months

Step-by-step explanation:

1 quarter is 3 months

3 quarters is 3 times 1 quarter, so it is 3 times 3 months.

3 x 3 months = 9 months

Answer: 9 months

If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

Pattern A

3.675×10 =3.7650 Incorrect

3.675×10 = 36.75 Correct

3.675× 100= 3.67500  Incorrect

3.675×100= 367.5 Correct

3.675×1,000= 3.675000 Incorrect

3.675×1,000 = 3,675 Correct

Pattern B

3.675×10=3.0675 Incorrect

3.675× 10= 36.75 Correct

3.675×0.01= 3.00675 Incorrect

3.675×0.01= 0.03675 Correct

3.675×0.001= 3.000675 Incorrect

3.675×0.001= 0.003675 Correct

The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

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On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

here we have,

center at (5,-2), one vertex at (2, -2) and a focus at

(5+ √5,-2)

so the answer is (5+ , root5)

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Answer:

the flag is 50 feet long and 160 feet wide

Answer: The width is 330 feet and the length is 790 feet.

Step-by-step explanation:

     We will write a system of equations to help us solve. Let w be the width and l be the length.

2w + 2l = 2,240 ft

l = 460 ft + w

     Now, we will solve for w, the width, by substituting one equation into the other.

2w + 2l = 2,240 ft,       l = 460 ft + w

2w + 2(460 ft + w) = 2,240 ft

2w + 920 ft + 2w = 2,240 ft

4w + 920 ft = 2,240 ft

4w = 1,320 ft

w = 330 ft

     The width is 330 feet.

     Now, we will solve for l, the length.

l = 460 ft + w,          w = 330 ft

l = 460 ft + 330 ft

l = 790 ft

     The length is 790 feet.

The possible radius and height for Cone B are 3 units and 16 units respectively

The formula for calculating the volume of a cone is expressed mathematically;

Volume = 1/3 πr²h

Given that;

From the information given, we have that;

Now, let the height of cone B be 16 units

Substitute the value into the formula, we have;

48π = 1/ 3 × π × r² × 16

multiply the values, we have

48 = 16r²/3

cross multiply

16r² = 144

Divide both sides by 16

r² = 144/16

r² =9

Find the square root of both sides

r = 3units

Hence, the values are 3 units and 16 units

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When convert it into rectangular form we get x=-1/2 and y=0.

To convert a point in polar coordinates (r, θ) to rectangular coordinates (x, y), you can use the following formulas:

[tex]x = r * cos(θ) \\y = r * sin(θ)[/tex]

Where r is the distance from the origin to the point, and θ is the angle in radians between the positive x-axis and the line connecting the point to the origin.

Alternatively, you can also convert from rectangular to polar coordinates using the following formulas:

[tex]r = sqrt(x^2 + y^2)\\θ = atan2(y, x)[/tex]

Where x, y are the rectangular coordinates and atan2 is a function that computes the angle of a point in a cartesian plane.

In general, it's worth noting that the polar coordinates are often used in some physics and engineering problems, while the rectangular coordinates are often used in computer graphics, analytic geometry and other fields.

The angle of 1's inverse tangent is 45°. This is the outcome of translating to polar coordinates in the form (r,theta).

To convert it into rectangle equation we have

[tex]x=rcos(theta)\\y=rsin(theta)\\r=1\\theta= 3*pi/2\\x= cos(3*pi/2)\\x= -1/2\\y=sin(3*pi/2)\\y=0[/tex]

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Step-by-step explanation:

since the 2 shapes are similar then their sides are proportional

9/18= j/90

then j equals 45

Answer: -18

Step-by-step explanation:

Distribute the -3 to the values inside the parentheses, (x and 8) which equals -3x-24.

Then, use inverse operations by adding 24 on both sides (it will cancel on the left) to get -3x=53

Then divide -3 on both sides to get x by itself

Answer:

-18

Step-by-step explanation:

-3(x+8)=30

by dividing 3 from both sides

-(x+8)=10

by multiplying -1 for both sides

(x+8)= -10

by subtracting 8 from both sides

x = -18

Let n = the number

The solution set is {x | x > 10}. 2. 5 ≥ 7 + y.

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false

it is a decimal not a fraction

slope form -

y - y1 = m(x - x1)

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

y + 3 = -2/3x + 2

y = -2/3x - 1

The total number of cookies that was made that day given that 55 which is 15% was burnt is 360.

We know that the number of burned cookies is 55, and that this represents 15% of the total production for the day.

We can use this information to set up a proportion to find the total number of cookies made that day.

Burned cookies / Total cookies = 15% / 100%

55 / X = 15/100

To find the total number of cookies made, we can cross-multiply and divide:

X = (55 * 100) / 15

X = 365

So, the bakery made a total of 365 cookies that day.

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Answer: Let's say,

y = the amount of money Perry will owe his brother after n months.

x = the principal (the initial amount borrowed) = 150

r = the interest rate per month = 7/100 = 0.07

n = number of months.

We know that Interest on a loan is calculated by multiplying the principal by the interest rate.

Therefore, the interest for n months is (0.07*x)*n

So to find the total amount Perry will owe his brother after n months, we need to add the interest to the principal amount.

y = x + interest

y = x + (r*x)n

y = x(1 + rn)

Therefore, the rule in the "y =..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments is:

y = 150(1 + 0.07*n)

It's worth noting that this formula can be used to calculate the amount he will owe after any number of months by changing the value of n, and It's assuming he doesn't make any payments, meaning if he makes any payments, the total amount he will owe will change.

Step-by-step explanation: