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allochka39001 [22]
2 years ago
6

How do you answer the equation -4r+11=4(1-r)+7?

Mathematics
1 answer:
kow [346]2 years ago
3 0

Answer:

Any value of  

r

makes the equation true.

All real numbers

Interval Notation:

(-Any value of  

r

makes the equation true.

All real numbers

Interval Notation:

( ∞ ,∞ )

Step-by-step explanation:

You might be interested in
15b^2+20y^3<br> Find the greatest common factor
Andrew [12]

Answer:

Hope this helps!

Step-by-step explanation:

The GCF is 5

8 0
2 years ago
The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.
Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m  + 40 m  + c = 120 m

61 m +  c = 120 m

c = 120 m - 61 m

c = 59 m

                         B

                     ↓            ↓  

                  ↓                          ↓

                ↓                                       ↓

            A →  →  → →  →  → →  → →    →    →  C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0

Angle B is calculated as follows;

Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0

Angle C is calculated as follows;

Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0

Therefore, the largest angle of the field is 149⁰.

       

8 0
3 years ago
Find the explicit formula for the sequence? -1,4,-16,64......
Ede4ka [16]

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4

The explicit formula for geometric sequence is:

a_n = a_1r^{n-1}

Putting the values of r and a1

a_n = -1 . (-4)^{n-1}

Hence

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

5 0
3 years ago
Please check my function,
seropon [69]

Answer:

yes, i think it is correct :)

Step-by-step explanation:

6 0
3 years ago
What is the value of r^2 for the following data to three decimal places
BigorU [14]

B. 0.930 ~Apex ;) .....................................






















3 0
3 years ago
Read 2 more answers
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