Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2

Answer:

hannah is 47 and Anthony is 45

Step-by-step explanation:

Sum= 92= a+(a+1)

sum= 45+(46+1)

sum= 45+47

sum= 92

Answer:

B) 10

Step-by-step explanation:

Exterior angle property: Exterior angle equals the sum of opposite interior angles.

12x + 10 = -10 + 7x +  70 {Subtract 10 from both sides}

12x        = -10 + 7x + 70 - 10        

       12x = -10 + 70 - 10 + 7x  {Combine like terms}

      12x  = 50 + 7x          {Subtract 7x from both sides}

12x - 7x = 50

       5x = 50 {Divide both sides by 5}

         x = 50/5

x = 10

Answer:

alex

Step-by-step explanation:

Answer:

A THE LOCATION OF THE LIGHT BULB

I got this right on the assignment

Step-by-step explanation:

The centre of the hyperbola represent will represent the location of the light bulb.

The centre of a hyperbola is the midpoint of the line segment joining its foci. The transverse axis is the line segment that contains the centre of the hyperbola and whose endpoints are the two vertices of the hyperbola.

As we know that the centre of a hyperbola is the midpoint of the line segment joining its foci. Now, if we plot the hyperbola with equation

[tex]\dfrac{(y-3)^2}{2}-\dfrac{x^2}{1}=1[/tex]

The hyperbola will look like the one given in the below image, further if draw two lines to know the centre of the hyperbola, we will find that the centre of the hyperbola will lie at coordinate (0,3).

Further, the centre of the hyperbola represents the light bulb while the hyperbolas will represent the shadow cast by the lampshade.

Hence, the centre of the hyperbola represent will represent the location of the light bulb.

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Answer:

5 is the hight

Step-by-step explanation:

The correct answer is b) Sometimes.

Given that a statement,

"The sum of two numbers is __________ greater than either number."

We need to fill the blank from the options provided.

The sum of two numbers can be greater than either number depending on the specific values of the numbers.

Let's consider some examples:

Example 1: If we have two positive numbers, such as 3 and 4, their sum (3 + 4 = 7) is greater than either number individually.

Example 2: If we have one positive number and one negative number, such as 5 and -8, their sum (5 + (-8) = -3) is greater than -8 but less than 5.

Example 3: However, if we have two negative numbers, such as -2 and -4, their sum (-2 + (-4) = -6) is not greater than either number individually.

Therefore, since the statement holds true in some cases but not in others, the correct answer is sometimes (b).

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Answer:

Step-by-step explanation:

x=57

y=57

z=66

Answer: The temperature on the fifth day is -14°C

Step-by-step explanation:

When we have a set of N elements, that can be written as:

{a₁, a₂, ..., aₙ}

The mean of these N elements is be written as:

Mₙ = (a₁ + a₂ + ... + aₙ)/N

Now, when we take in account the temperature for the first four days of January, we will have a set of 4 elements, {a₁, a₂, a₃, a₄}

Where each one of these elements represents the temperature of one particular day.

The mean temperature for the first four days will be:

M₄ = (a₁ + a₂ + a₃ + a₄)/4

And we know that this is equal to 4°C

Now we also could do the next replacement:

(a₁ + a₂ + a₃ + a₄) = T

Then we can write:

M₄ = -4°C =  (a₁ + a₂ + a₃ + a₄)/4 = T/4

Then we can solve:

-4°C = T/4

-4°C*4 = T

-16°C = T

This is the sum of the temperatures for the first four days of January.

Now we know that the mean for the first five days is -6°C

Then we have:

M₅ = (a₁ + a₂ + a₃ + a₄ + a₅)/5 = -6°C

Where a₅ is the temperature on the fifth day of January, which is the value we want to find.

And we know that:

a₁ + a₂ + a₃ + a₄ = -16°C

We can replace that in the equation to get:

(-16°C + a₅)/5 = -6°C

(-16°C + a₅) = 5*(-6°C) = -30°C

a₅ = -30°C + 16°C = -14°C

a₅ = -14°C

The temperature on the fifth day is -14°C

Step-by-step explanation:

[tex]2 {x}^{2} + 11x + 5 \\ {x}^{2} + 5.5x + 12.5 \\ = -2.75-2.222i \\ \: \: \: - 2.75 + 2.22i \\ \alpha = - 2.75 - 2.22i \\ \beta = - 2.75 + 2.22i[/tex]

[tex] { \alpha }^{4} + { \beta }^{4} = -284.2912344[/tex]

[tex]\frac{1}{ \beta } + \frac{1}{ \alpha } + 2 \alpha \beta = 24.9818[/tex]

Answer:

it's 35

Step-by-step explanation:

3+5 = 8

35 is odd

and 3-5 = 2

Answer: 5.9j-6

Step-by-step explanation:

Answer:

sorry but all i got from this is the first one should be -3

Step-by-step explanation:

sorry that i couldn't answer all :)

Answer:

189/230

Step-by-step explanation:

Convert these to fractions first, because then it would be easier to calculate.

3 39/50 divided by 4 3/5

Turn the fractions into improper fractions:

189/50 divided by 23/5 = 189/50 times the reciprocal of 23/5

So we have:

189/50 x 5/23 = 945/1150 = 189/230

Answer:

Step-by-step explanation:

d+821=5323

d=4502

So the distance she climbed in the first four days was 4502 feet.

Answer:

Andre     Noah     Weeks

 20           10             1

 25         17.50         2

 30           25            3

Step-by-step explanation:

Answer:

your answer will be A

Step-by-step explanation:

^_^

Answer:

10

Step-by-step explanation:

f(-3)=-2(-3)+4=6+4=10

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Answer:

a

Step-by-step explanation:

The equation equivalent to the given equation y-h=x-g/k is .x=k(y-h) +g. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is y-h=x-g/k. The equation will be solved as,

y-h = ( x-g ) / k

k( y-h ) = x - g

k( y-h ) + g = x

Therefore, the equation equivalent to the given equation y-h=x-g/k is .x=k(y-h) +g. The correct option is C.

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Answer:

Value of boat = $23,400

Loss of value by boat per year = 8%

To find: -  Monthly percent decrease in value of boat.  

Solution: - Decrease of value per year = 8% of $23,400 = $1,872. Monthly decrease in value = $1,872/12 = $156. Monthly percentage decrease = ($156/$23,400) * 100 = 0.6667 or 0.67 (rounded to nearest hundredth)

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

slope = rise/run= 1.5/ 3= 0.5

hope that helps if it does please mark as brainliest.

Answer: 6 units

Step-by-step explanation:

Since this is just a reflection, the length of A'C' shouldn't be different from the length of AC.

Answer:

x = 8

y = 8√3

Step-by-step explanation:

sin(30) = 1/2

cos(30) = √3/2

They are rule!!!