what is the value of the expression
(r − 29) ÷ 7

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90    {Combine like terms}

2b + 28 = 90       {Subtract 28 form both sides}

       2b  = 90 - 28

       2b = 62      {Divide both sides by 2}

        b = 62/2

       b = 31

a = 31 + 28

a = 59

Answer: slope -1; y-intercept is 13, (0,13)

Step-by-step explanation:

We rewrite the function as y = -x + 13

y = mx + b; m is the slope, b is the intercept, by comparison, we found that the slope is -1, and the y-intercept is 13.

The solutions to the given quadratic equation are (3+√5)/2 and (3-√5)/2.

Quadratic formula is the simplest way to find the roots of a quadratic equation.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

The given quadratic equation is x²-3x+1=0.

By comparing x²-3x+1=0 with ax²+bx+c=0, we get a=1, b=-3 and c=1.

Now, x= [3±√((-3)² - 4×1×1)]/2×1

= [3±√(9-4)]/2

= (3±√5)/2

So, the solutions to the given equation are (3+√5)/2 and (3-√5)/2.

Therefore, the solutions to the equation are (3+√5)/2 and (3-√5)/2.

To learn more about the quadratic formula visit:

https://brainly.com/question/11540485.

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Answer:

-4

Step-by-step explanation:

Plug in -4 for x, so the absolute value of -4 is 4. However, there's a minus sign out in front still, so it gets tacked on to the 4. So, g(-4)=-4

Answer:

x = -2

Step-by-step explanation:

2(3x - 5) + 4 = -18

Distribute the 2

6x - 10 + 4 = -18

6x - 6 = -18

Add 6 to both sides

6x = -12

Divide both sides by 6

x = -2

Check:

2(3x - 5) + 4 = -18

substitute x = -2 into the original equation

2(3(-2) - 5) + 4 = -18

2(-6 - 5) + 4 = -18

2(-11) + 4 = -18

-22 + 4 = -18

-18 = -18

So x = -2 is true.

Answer:

x=-2

Step-by-step explanation:

2(3x-5)+4=-18

We move all terms to the left:

2(3x-5)+4-(-18)=0

We add all the numbers together, and all the variables

2(3x-5)+22=0

We multiply parentheses

6x-10+22=0

We add all the numbers together, and all the variables

6x+12=0

We move all terms containing x to the left, all other terms to the right

6x=-12

x=-12/6

x=-2

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation: 1 2 3 so 1 + 1 is 2

Step-by-step explanation:

Here, slope= 4/5 , As y= mx+c

according to formula, y-y1= m(x-x1)

y-6= 4/5(x+6)

5/4 (y-6)= x+6

5/4y - 15/2= x+6

x- 5/4y + 27/2 =0

Answer:

9 hours

Step-by-step explanation:

12 times 3 is 40 so 3 times 3 is 9

Answer:

10

Step-by-step explanation:

takes one hour to plant 4

Answer:

I think is C 19x2+20y+16

Answer:

32°

Step-by-step explanation:

90 - 58 = 32

b = 32°

Answer:

triangular prism

Step-by-step explanation:

xoxo <3 hope this helped!

Answer:

Step-by-step explanation:

Answer:

Easton Redline Sc500

That is the best bat at all time

Step-by-step explanation:

Answer:

The answer has many ongoing 3's so just shorten it to

8.3 or 8.33

Answer:

B. Will the particles of ice absorb heat from the water and begin to move faster?

Step-by-step explanation:

Answer:

yes agree

Step-by-step explanation:

because negative 40 is less than negative 17

Answer:

-9.56

Step-by-step explanation:

Given:

[tex]h(1)=9[/tex]

[tex]h(n)=h(n-1)\cdot (-3)[/tex]

To find:

The explicit formula for h(n).

Solution:

We have,

[tex]h(n)=h(n-1)\cdot (-3)[/tex]         ...(i)

It is the recursive formula of a geometric sequence. It is of the form

[tex]a(n)=a(n-1)\cdot r[/tex]         ...(ii)

where r is the common ratio.

On comparing (i) and (ii), we get

[tex]r=-3[/tex]

We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].

The explicit formula for a geometric sequence is:

[tex]h(n)=ar^{n-1}[/tex]

Substitute a=9 and r=-3 to get the explicit formula for the given sequence.

[tex]h(n)=9(-3)^{n-1}[/tex]

Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].

Answer:

SAS

Step-by-step explanation:

In triangle ABC and triangle EFD

1. BC = CD (S) Given

2. < BCD = < EFD (A) being vertically opposite. angles.

3. AC = CE (S) Given

Hence

By SAS postulate Triangle ABC and triangle EFD are congruent.

HOPE IT HELPS :)❤

Answer:

12

Step-by-step explanation:

If the perimeter is 58,

take 17(2) for booth sides.

Which you will get 34.

58-34=24

Now you know that the remainder is the two vertical sides.

24/2=12

BC=12

Answer:

180-77

Step-by-step explanation:

adjacent angles are supp

Answer:

103° | See Attached Image

Step-by-step explanation:

The angle opposite of 77° is vertical (it makes an X, therefore the angles are equal.)

The corresponding angle to the vertical of 77° is also equal to 77°.

X is supplementary to the previously mentioned angle, so it adds up to 180°.

180 - 77 = 103°

Answer: 56 times

Step-by-step explanation:

If his ratio of goals to misses is

6:7

then we must find out how many times he missed seeing he scored 48

so

48:?

to solve find out if 6 goes into 48 and it does 8 times so multiply both sides by 8 to get the new ratio

6*8:7*8

48:56

So the new ratio is 48:56 which also means he missed 56 shots

Answer:

I believe she can make one bow

Step-by-step explanation:

Iso if she has 5 feet of ribbon and only takes four feet of it then that leaves one foot left but if she has a perfect four foot then she can make a ribbon without extra

9514 1404 393

Answer:

  9.9

Step-by-step explanation:

The applicable geometric mean rule tells you ...

  y = √(9(9+2)) = √99

  y ≈ 9.9

__

Additional comment

In this geometry, the right triangles are similar. Ratios of corresponding sides are equal.

  hypotenuse/long side = y/9 = (9+2)/y

  y^2 = (9)(11)

  y = √99 . . . . as above

The long leg is the geometric mean of the (adjacent) long segment and the full hypotenuse.

Answer:

i^198 is -1

hope I helped :)