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Marizza181 [45]
3 years ago
10

Find the y-intercept and the axis of symmetry of f(x)=ax^2+2ax+3.

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

y-intercept = (0,3)

Axis of symetry is -1

Step-by-step explanation:

ax^2+2ax+3 <-- y-intercept

Axis of symetry is -b/2a

-2a/2a=-1

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Andrew invited 30 friends to his birthday party. Seventy percent of his friends came to the party. The other 30% did not come to
solong [7]

Answer:

  70% = 7/10

Step-by-step explanation:

The fraction is given in the problem statement as 70%. It can be expressed as 7/10, 0.7, 0.70, and many other ways. Take your pick.

3 0
3 years ago
What's 5y^-1+7x^2+8y^2 ? help plz id appreciate it .
luda_lava [24]

Answer:

The answer is zero

Step-by-step explanation:

3 0
3 years ago
Find the surface area of this rectangular prism.​
Alexeev081 [22]

Answer:

Surface area of the rectangular prism= 168 yards^2

Step-by-step explanation:

Given Dimensions of the rectangular prism are:

Length(L)= 9 yards\\\\Width(w)=2 yards \\\\Height(H)= 6 yards

Surface Area of a rectangular prism=

                                          2(L*W+W*H+H*L)\\\\                                                           =2(9*2+2*6+6*9)\\\\                                                            =2(18+12+54)\\\\                                                             = 2(84)\\\\

                                    =168 yards^2

The surface area of the rectangular prism is 168 yards^2

5 0
3 years ago
Find the decimal equivalent to 4/15​
alexandr1967 [171]

Answer:

.2666 (repeating, which is usually signified by a line over the 6, but I couldn't type that)

Step-by-step explanation:

      ________

15  |   4

       

      __._____

15  |   4 0              since 15 is bigger than 4, add a 0 here.

                            make  sure you also place a decimal point      

                            above (above the place directly after 4) so your

                            answer isn't larger than it should be.

      __.2____

15  |   4 0

         3 0               15*2 = 30. that's as close to 40 as we're going to get.

                 

      __.2____

15  |   4 0

        <u>-30 </u>

         10                  40 - 30 = 10.

      __.2____

15  |   4 0

        <u>-30 </u>

         1 0 0                 bring down an imaginary 0.

      __.26___

15  |   4 0

        <u>-30 </u>

         1 0 0                

      <u> - 90  </u>                15*6 = 90. that's as close to 100 as we're going to get.

         1 0

Notice that we keep getting 10 as a remainder again if we keep going. So 6 keeps repeating on top, which is why it's a repeating decimal. Once you realize it's the same number again and again the further you divide it, you can stop and write the line over the 6.

     

6 0
3 years ago
What is 5 pi over 3 radians in degrees? <br><br> 60° <br><br> 120° <br><br> 210° <br><br> 300°
Wittaler [7]

<h3>( 5π/3 ) radians = 300°</h3>

<h3>Further explanation</h3>

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

<h3>sin ∠A = opposite / hypotenuse</h3><h3>cos ∠A = adjacent / hypotenuse</h3><h3>tan ∠A = opposite / adjacent </h3>

There are several trigonometric identities that need to be recalled, i.e.

cosec ~ A = \frac{1}{sin ~ A}

sec ~ A = \frac{1}{cos ~ A}

cot ~ A = \frac{1}{tan ~ A}

tan ~ A = \frac{sin ~ A}{cos ~ A}

Let us now tackle the problem!

There are several units for angles for example :

<em>1 revolution = 360°</em>

<em>2π radian = 360°</em>

<em>1 radian = (180/π)°</em>

If we would like to convert (5π/3) radians into degrees , then :

1 ~ rad = ( \frac{180}{\pi} )^o

\frac{5 \pi}{3} ~ rad = ( \frac{5 \pi}{3} \times \frac{180}{\pi} )^o

\frac{5 \pi}{3} ~ rad = ( \frac{900 {\pi}}{3 \pi} )^o

\large {\boxed {\frac{5 \pi}{3} ~ rad = 300^o} }

<h3>Learn more</h3>
  • Calculate Angle in Triangle : brainly.com/question/12438587
  • Periodic Functions and Trigonometry : brainly.com/question/9718382
  • Trigonometry Formula : brainly.com/question/12668178

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse  

4 0
3 years ago
Read 2 more answers
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