What are the coordinates of the midpoint
of the segment joining the points
A(-3,-1) and B(4,2)?
Midpoint = (***
x1 + x2 Y1 +92
2 2.
O (2,-4)
(-1.0.5)
O (1.-2)
(0.5, -1)

Answer:

A is the answer

Answer:

the first one is the answer y = (x-2)^2 + 1

Step-by-step explanation:

The vertex form of a quadratic function is y = a(x – h)^2 + k, where a, h, and k are constants.  h and k are vertex.

vertex is (2,1) which is (h,k)

passes through (0,5)

Equation is  y = a( x - 2)^2 + 1 . now substituting (0,5) in for x and f(x),

5 = a ( 0 - 2) ^2 + 1 and solve for a.....

5 = 4a + 1

5-1 = 4a

4a = 4..........  a = 1

equation becomes y = 1(x-2)^2 + 1 or y= (x-2)^2 + 1

Step-by-step explanation:

Area of a parallelogram = H * B

Where ;H = height and B = 7

From the question our height = 10m and base = 7m

H * B

= 10m * 7m

=70m²

Therefore the area of the parallelogram is 70m²

The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)

SO he used 3 milliters on each salad

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Step-by-step explanation:

Accounts balance=$20

Part time job salary=$110

Total balance

\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}

⟼110+20=130$

Now

Price of comics=$40

Price left for bike

\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}

⟼130−40=90$

After buying the dream bike, John's account balance will be -$110.

Let's calculate John's account balance after each transaction step by step:

1. Initial balance: $20

2. Weekly paycheck: +$110

  Account balance = $20 + $110 = $130

3. Buys comic books: -$40

  Account balance = $130 - $40 = $90

4. Buys dream bike: -$200

  Account balance = $90 - $200 = -$110

After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.

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The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

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Answer: 2

Step-by-step explanation:

f=2

s=8

[tex](8)\div(2(2))\\8\div4\\2[/tex]

Answer:

2

Step-by-step explanation:

s/ (2f)

Let s = 8

and f = 2

8 / ( 2*2)

8/4

2

Cost of TV= Rs. 6000

Money spent on repair= Rs. 1500

So, money left after repair= 6000-1500= Rs. 4500

She sold it for Rs. 5,500

Therefore, Profit= 5500-4500= Rs. 1000

So profit= Rs. 1000

Answer:

2,000 loss

Step-by-step explanation:

Total Revenue - Total Expenses = Profit

Total expenses = 6,000(Original cost) + 1500(repairs) = 7,500

Total revenue =  selling price = 5,500

Therefore the Profit or Loss(negative number) =

        5,500 - 7,500 = -2000 or 2,000 loss  

Step-by-step explanation:

putting X in place of sin we get,

4x²-5x-6

4x²-8x+3x-6

4x(X-2) +3(x-2)

(4x+3)(x-2)

putting back sin in place of X

(4sin+3)(sin-2)

Answer:

see below

Step-by-step explanation:

C=2[tex]\pi[/tex]r

76=2[tex]\pi[/tex]r

r=[tex]\frac{76}{2\pi }[/tex]=38[tex]\pi[/tex]= 119.380520836

diameter: d=2(radius)=2(119.380520836)= 238.761041672

area= [tex]\pi (r)^{2}[/tex]=[tex]\pi[/tex](119.380520836)^2= 14251.70855[tex]\pi[/tex]

Answer:

y-intercept is (0, 9)

Step-by-step explanation:

At y-intercept, x is 0

[tex]y = 9[/tex]

Answer: (0, 9)

Concept:

The y-intercept of a function is the point at which the graph of the function crosses the y-axis.

In other words, the y-intercept is the point when the x value is 0.

Solve:

Find the point where the x value is 0

It is the fourth from the left, where the x value is 0.

The y value is 9.

Finalize the point

x value is 0

y value is 9

Point = [tex]\boxed{(0, 9)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

$7315

Step-by-step explanation:

To find the depreciation expense, we use this formula:

Depreciable cost ÷ useful life time

Depreciated cost = $51,208

Life time = 7 years

51,208 ÷ 7 = 7315.42857

This means that $51,208 were lost over the 7 years, meaning $7315 were lost every year.

Answer:

they are not equal

Step-by-step explanation:

-8v-12=-8v-12

4v+12=4v+12

but you can solve it as an equation

-8v-12=4v+12

make v the subject

-8v-4v=12+12

-12v=24

divide both sides by-12

your answer is-2

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

do you understand it

Step-by-step explanation:

do you understand it

Answer:

y=x+1

Step-by-step explanation:

if it passes through (1,2), the y-intercept will be 1 and the slope will stay the same is the equation will be y=x+1

Answer:

[tex]2x - 9 \leqslant 1 \\ 2x \leqslant 10 \\ x \leqslant 5 \\ thank \: you[/tex]

9514 1404 393

Answer:

  (x^3)/27

Step-by-step explanation:

The power rule applies.

  ∫(x^n) = (x^(n+1))/(n+1)

__

  [tex]\displaystyle\int\dfrac{x^2}{9}\,dx=\dfrac{x^3}{3\cdot9}=\boxed{\dfrac{x^3}{27}}[/tex]

L=6x+3

B=-2x-5

[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]

[tex]\begin{gathered}\\ \rm\longmapsto Perimeter=2(4x-2)\end{gathered}\begin{gathered}\\ \rm\longmapsto Perimeter= 8x-4\end{gathered}[/tex]

Answer:

yes

Step-by-step explanation:

x = 1, y = 0

so,

-5×1 + 7×0 = -5

-5 + 0 = -5

-5 = -5

true, therefore (1, 0) is a solution (a point on the graph) of the equation.

I am not sure what the other pair should be.

Answer:

rational number

Step-by-step explanation:

it is being expressed in form of p/q

Answer:

27

Step-by-step explanation:

3(5+1+3) distribute

15+ 3+ 9 add

27

Polygons with all same sides is an equilateral.

Answer:

£1009.8

Step-by-step explanation:

1) 1320/100*15= 13.2*15= 198- Sunday discount,

2) 1320-198=1122- The value with Sunday discount,

3) 1122/100*10= 112.2 - the student's discount,

4) 1122-112.2= 1009.8

The student paid £990 for the purchase of the laptop.

An equation is used to show the relationship between two or more numbers and variables.

The student purchase the laptop on a Sunday, hence:

Total discount = 15% + 10% = 25%

The laptop usually sells for £1320. Hence:

Discount = 25% of £1320 = 0.25 * 1320 = £330

Price paid by the student = £1320 - £330 = £990

The student paid £990 for the purchase of the laptop.

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Answer:

5 times

Step-by-step explanation:

please follow me

Answer:

-5,4

Step-by-step explanation:

midpoint x is a 3 point difference. 3 points in the opposite direction is -5

midpoint y is also a 3 point difference. 3 points in the opposite direction of that is 4

so I believe the correct answer should be (-5,4)

Answer: 72 days

Step-by-step explanation:

STEP ONE: Find the total amount of food

Total days = 18 days

Total people = 8 people

Total food = days × people

Total food = 18 × 8

Total food = 144

STEP TWO: Find the days that would last for 2 people

Total people = 2 people

Total food = 144 units

Total days = food ÷ people

Total days = 144 ÷ 2

Total days = [tex]\boxed{72days}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]thank \: you[/tex]