3x + y = -3
y = x + 5
Substitution pls show solving

Answer:

(a/2, a/2)

Step-by-step explanation:

Coordinates of B & D are; (0, a) and (a, 0) respectively.

The formula for calculating coordinates of midpoint is;

M = ((x1 + x2)/2), ((y1 + y2)/2)

Coordinates of BD will be;

M_BD = ((0 + a)/2), ((a + 0)/2)

M_BD = (a/2, a/2)

Hello!

[tex]slope = 2\\\\y-intercept = (0, 3)\\\\Equation: y = 2x + 3[/tex]

We can find the slope using the slope formula:

[tex]slope = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Plug in any two points from the table. We can use (0, 3) and (1, 5):

[tex]slope = \frac{5 - 3}{1-0}[/tex]

[tex]slope = 2[/tex]

Now, we can find the y-intercept by finding the y-value at which x = 0.

According to the table, when x = 0, y = 3. Thus, the y-intercept is:

[tex](0, 3)[/tex]

We can write an equation using the slope and y-intercept in the format

y = mx + b where "m" is the slope and "b" is the y-intercept.

Plug in the solved values into the equation:

y = 2x + 3.

**Graphed below**

Complete question :

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " 5/6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?

Answer:

12

Step-by-step explanation:

Given that:

Length of square block to be used = 5/6 meters

Length of garden. Walkway = 5 m

Since length of walkway is the same on both sides, then the Total length = 5m + 5m = 10 meters

Number of square stones required :

Total length of walkway / side length of stones to be used

= 10 meters ÷ (5/6) meters

= 10 * 6/5

= 60 / 5

= 12 stones

Answer:

Dvfgghytjyjt

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Given:

The expression is

[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]

It can be written as

[tex]=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}[/tex]

Taking LCM, we get

[tex]=\dfrac{16-5-1}{6}[/tex]

[tex]=\dfrac{10}{6}[/tex]

[tex]=\dfrac{5}{3}[/tex]

The mixed fraction of this improper fraction is

[tex]=\dfrac{1\times 3+2}{3}[/tex]

[tex]=1\dfrac{2}{3}[/tex]

So, the expression [tex]1\dfrac{2}{3}[/tex] is equivalent to the given expression.

Therefore, the correct option is A.

Answer:

44 weeks

Step-by-step explanation:

First, he’s already used 36 pages so he has 124-36=88 pages left to use.

Since he can use 2 pages per week, by dividing 88(# of pages left) by 2( pages per week), you will get the answer. 88÷2=44 weeks

Answer:

Sharon is 36

Her daughter is 7 years and 2 months

Step-by-step explanation:

sharon is 5× as old

her daughter is written as 1 (because we dont know about her age)

then square root of 256 to find square which is equal as said in the queston:which is 16

algebraic equation would be:5n+16 (n represents the years and 5 is how many times older sharon is and 16 is how old their square sum of agewas 4 years ago)

Their present age would be:

Sharon=5x4+16=36

Daughter =36÷5=7 years 2 months

The present age of Sharon is 20 and the Present age of her daughter is 4.

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.

Given, Sharon is five times her daughter's age. The square of their ages was equal to 256 four years ago. Let the age of Sharon is x and the age of her daughter be y.

Thus the algebraic equation formed as per the given data is,

x = 5*y (Present age)

(x-4 + y -4)^2 = 256 (Four years ago)

Taking square root both the sides

x + y = 24

comparing both equations

5 y + y = 24

y = 4

and x = 20

Therefore, Sharon is currently twenty years old, and her daughter is currently four years old.

Learn more about algebraic equations here:

https://brainly.com/question/29131718

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Answer:

Option (2)

Step-by-step explanation:

Option (1).

[tex]2(\frac{2}{5}x+2)=2\frac{2}{5}x+1[/tex]

[tex]\frac{4x}{5}+4=\frac{12}{5}x+1[/tex]

Therefore, both the sides of the expression are not equal.

False.

Option (2).

[tex]2(\frac{2}{5}x+2)=\frac{4}{5}x+4[/tex]

[tex]\frac{4x}{5}+4=\frac{4}{5}x+4[/tex]

True.

Option (3).

[tex]2(\frac{2}{5}x+4)=\frac{4}{5}x+2[/tex]

[tex]\frac{4}{5}x+8=\frac{4}{5}x+2[/tex]

False.

Option (4).

[tex]2(\frac{2}{5}x+4)=2\frac{2}{5}x+8[/tex]

[tex]\frac{4x}{5}+8=\frac{12}{5}x+8[/tex]

Both the sides are not equal.

False.

Answer:

The last one. The table with 12 sections and 2 letters in each one.

Explanation: For every flip (12 total flips) there were 2 coins. So there are 12 sections in the table (the amount of times the coins were flipped) and 2 letters for each one (representing that 2 coins were flipped at the same time).

Hope this helps <3333

Answer:

Pole^2 = 221^2 - 21^2

Pole^2 = 48,841 -441

Pole^2 = 48,400

Pole = 220 cm

Answer is B

Step-by-step explanation:

Answer:

1 triangle is the right anwer

Answer:

-5

Step-by-step explanation:

each number in that line is just being subtracted by 5 each time. like 45-5=40 and 40-5=35 and so on.

Answer:

A'={5,0}

B'={2,0}

C'={2,4}

Step-by-step explanation:

The coordinates of the object triangle are;

A = {-3,0}

B= {0,4}

C={0,0}

The reflection is on line x=1

See attached graph with the image for the coordinates of the triangle after reflection

A'={5,0}

B'={2,0}

C'={2,4}

Answer:

c) 78 miles

Step-by-step explanation:

12²+5²=c²

144+25=c²

169=c²

√169=√c²

13=c

13x6=78

Answer:

The 2nd box should be 4 × x and then the 3rd box should be + 5

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

We need to multiply 4 to input x and add 5 to the product to get the output 4x+5.

Given that, input of the function is x and the output of the function is 4x+5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To get the out of the function 4x+5, we need to multiply 4 to x and add 5 to the product.

That is represented the figure given below.

Therefore, we need to multiply 4 to input x and add 5 to the product to get the output 4x+5.

To learn more about the function visit:

https://brainly.com/question/5975436.

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Answer:

Thanks for the points :3

Answer: I got 42

Step-by-step explanation:

(using I's as an example)

There started with 2 boxes

Then there are 4 boxes in each in those two

Now each of those boxes have 4 in them.

Answer:

7

Step-by-step explanation:

115/17=6.7..... Round up to 7.

7 boxes should be the answer

Answer:

Vertical Angels must: have pairs of opposite angles made by two intersecting lines.

Step-by-step explanation:

Answer:

[tex]y= x - 300[/tex]

[tex]y = -246[/tex] -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we can say that:

[tex](x_1,y_1) = (0,-300)[/tex]

[tex](x_2,y_2) = (300,0)[/tex]

So, we have:

[tex]m = \frac{0 -(-300)}{300 - 0}[/tex]

[tex]m = \frac{0 +300}{300}[/tex]

[tex]m = \frac{300}{300}[/tex]

[tex]m = 1[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-300) = 1(x - 0)[/tex]

[tex]y +300 = 1(x)[/tex]

[tex]y +300 = x[/tex]

[tex]y= x - 300[/tex]

(b) When x = 54

Substitute 54 for x in [tex]y= x - 300[/tex]

[tex]y = 54 - 300[/tex]

[tex]y = -246[/tex]

Answer:

A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship. On the other hand a negative relationship is one where more of one input leads to less of another output.

Step-by-step explanation:

Hope this helps

Answer:

13n+2

Step-by-step explanation:

find the difference between the numbers which is 13

》13n

from 13 to 15 you add 2

》13n+2

Answer:

28 5 dollar bills

12 10 dollar bills

Step-by-step explanation:

You can write two equations to model this situation'

x will be the number of 5 dollar bills

y will be the number of 10 dollar bills

x+y=40

5x+10y=260

There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)

So we have x+y=40

If I subtract y from both sides and divide by -1 we get

-x+40=y

We can then plug this value in for y in the second equation

5x+10(-x+40)=260

Distribute the 10 and combine like terms to get

-5x+400=260

subtract 400 from both sides and divide by -5 to get

x=28

This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y

28+y=40

Subtract 28 from both sides

y=12

This means that there were a total of 28 5 dollar bills and 12 10s

I doubled checked this in desmos and it checks out

Answer:

1.9

2.14

3 19

4.24

5.29

6.34

7. 39

8.44

9.49

10.54

11.59

12.64

13.69,

14.74

15.,79

16.,84

17.,89

18.,94

19.99

20.,104

21.109

22.,114

23.,119,

24.124

25.,129

26.,134,

27.139

28. 144

29.,149,

30.154

31.,159,

32. 164,

33.169,

34.174

35.179,

36 184,

37 189

38 ,194

39 ,199

40 ,204

41 209

42 214

43 219

44 224

45 229

46 234

47 239

48 244

49 249

50 254

Step-by-step explanation:

Counting up by 5

Answer:

25

Step-by-step explanation:

I believe that the mid-segment is the length of half the base.

Answer: x=4

Step-by-step explanation:

Simplify the left side of 9x-3x-5=19 by combining like terms:

6x-5=19

Add 5 to both sides:

(6x-5)+5=19+5

Simplify:

6x=24

Divide both sides by 6:

(6x)/6=24/6

Simplify:

x=4