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andrey2020 [161]
3 years ago
8

In a sequence of numbers, the first number is 5 and each number after the first is 2 more than 4 times the preceding number. Wha

t is the third number in the sequence?
Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

Answer:

5x4=20+2= 22

22x4=88+2=90

90

Step-by-step explanation:

Roman55 [17]3 years ago
3 0

Answer:

90

Step-by-step explanation:

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1) You are designing a new kiddie soccer arena. The area of the rectangular
nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

\text{Area} = \text{length}\times \text{width}

The area of a rectangular field is, <em>A</em> = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

\text{Area} = \text{length}\times \text{width}

60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\

Factorize the last equation by splitting the middle term as follows:

w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

 = 5 + 7

 = 12

The length of the rectangular field is 12 ft.

7 0
2 years ago
Write an equation of a line in slope-intercept form that passes through (-3,5) and is parallel to y = -6x +1.
katrin2010 [14]

Answer:

a) The equation of the Parallel line to the given straight line is

       6 x + y + 13 =0

b) Slope - intercept form

        y = - 6 x - 13

c) The intercept - form

            \frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1

x - intercept  =  \frac{-13}{6}

y - intercept = - 13

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the equation of the straight line

                             y = -6x +1

                  6 x + y - 1 = 0

The equation of the Parallel line to the given straight line is

                6x + y + k=0 and it passes through the point (-3, 5 )

           ⇒ 6 (-3 ) + 5 + k =0

          ⇒  - 18 + 5 + k=0

         ⇒   -13 + k = 0

        ⇒     k = 13

The equation of the Parallel line to the given straight line is

       6 x + y + 13 =0

<u><em>Step(ii):-</em></u>

Slope - intercept form

                y = m x + C

                y = - 6 x - 13

<u><em>Step(iii)</em></u>:-

Intercept - form

              6 x + y + 13 =0

              6 x + y = - 13

              \frac{6x + y}{-13} = \frac{-13}{-13}

             \frac{6x}{-13} + \frac{y}{-13} = 1

             \frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1

The intercept - form

            \frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1

x - intercept  =  \frac{-13}{6}

y - intercept = - 13

4 0
2 years ago
Which is the solution to the inequality?
Zinaida [17]

Answer: The Answer is B the second one.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Find the consecutive integers who's sum is -33
RUDIKE [14]
-17,-16 because 
lets say the first integer is x
Then the second integer is x+1
Let's make an equation
x+(x+1)=-33
2x+1=-33
Subtract 1 from both sides
2x=-34
Divide both sides by 2
x=-17
The first number is -17
The second number is -16
6 0
3 years ago
issac is swimming in the ocean. he is 3 feet below the surface of the water sees a fish below him. he dives down to a depth of 1
Kazeer [188]
8 feet below the surface
8 0
2 years ago
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