What is the vertex of the parabola with equation y = 3x2 + 1?

9514 1404 393

Answer:

  C)  65°

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(?) = 25/59

  ? = arccos(25/59) ≈ 64.93°

The indicated angle is about 65°.

_____

You can see that the figure is drawn approximately to scale and that the angle is more than 45°. (The unmarked leg is longer than the given leg.) The only answer choice that is more than 45° is the one shown above.

Answer:

A

Step-by-step explanation:

Given:

The figure and dimensions of the triangular prism.

The base is an isosceles triangle

To find:

The area of the triangular prism.

Solution:

The area of a triangle is:

[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]

The base of the triangle is 24 cm and the height is 35 cm. So, the area of a triangular base (in sq. cm) is:

[tex]A_1=\dfrac{1}{2}\times 24\times 35[/tex]

[tex]A_1=12\times 35[/tex]

[tex]A_1=420[/tex]

The bases of the triangular prism are same. So, the area of the other triangular base is [tex]A_2=420[/tex] sq. cm.

The sides of the base triangle are 37 cm, 37 cm and 24 cm. So, the perimeter of the base triangle is:

[tex]P=37+37+24[/tex]

[tex]P=98[/tex]

Now, the curved surface area of the prism is:

[tex]A_3=P\times h[/tex]

Where, P is the base perimeter and h is the height of the prism.

The base perimeter of the triangular prism is 98 cm and the height is 48 cm. So, the curved surface area is:

[tex]A_3=98\times 48[/tex]

[tex]A_3=4704[/tex]

Now, the total  area of the triangular prism is:

[tex]A=A_1+A_2+A_3[/tex]

[tex]A=420+420+4704[/tex]

[tex]A=5544[/tex]

Therefore, the area of the given triangular prism is 5544 sq. cm.

Answer:

1/6

Step-by-step explanation:

Since There are 6 marbles in total and possibly one red marble than its 1/6.

Im not sure if that makes sense but i hope it does :)

Answer:

Tang instituted government - funded social programs , which were designed to help the poor .

hope it is helpful to you.

Answer:

40 waves

Step-by-step explanation:

Prob (Mark catches waves) = Times waves caught / Total waves =  8 / 20 =  4 / 5 = 20%

Predicted waves out of 50 , caught = 4 / 5 or 20% of 50  = (4 / 5) x 50 = 40

Answer:

25%

Step-by-step explanation:

add up the total amount of ppl which was 300 people. 75300 people were females with blue cars. Simplfy and you'll get 1/4 or 25%.

daisy will received 30 on her 5th birthday

Answer:

12

Step-by-step explanation:

I think it is 12 because when you divide 54 / 4.5 you end up getting 12. I dont know if its correct. If it is, than your welcome. LOL

Answer:

No

Step-by-step explanation:

I don’t want to help you :)

We can use the Pythagorean Theorem to solve the triangle for x.

[tex]25^2=14^2+x^2[/tex]

[tex]625=196+x^2[/tex]

[tex]x^2=429[/tex]

[tex]x=\sqrt{429}[/tex]

x≈20.7

Answer:

x=1

Step-by-step explanation:

hope this helps :)

Answer for :  5 (5x - 3) = 10

1. Opening the brackets:

       25x - 15 = 10

2. Taking all known numbers to the other side:

        25x = 10 + 15 (taking a number over means you have to change the sign)

3. Solving the known side:

        25x = 25

4. Isolating the Variable:

       x = 25/25

5. Solving the equation:

       x = 1

( I hope this helps, Pls think of giving me Brainliest :) Thank you!

Answer: 1726

Step-by-step explanation:

A=2(wl+hl+hw)

A=

2

w

l

h

l

h

w

=

2

6.5

29

19

29

19

6.5

=

1726

Answer:

A. (8, -4)

Step-by-step explanation:

Feel free to check this by adding in the numbers in place of the variables:

3(8) + 4(-4) = 8

8 - (-4) = 12

answer:

n=43

Step-by-step explanation:

Divide both sides by 7:

[tex]\frac{7n}{7}=\frac{301}{7}[/tex]    

simplify: n=43

Answer:

17.0

Step-by-step explanation:

If you take the sin(39) or cos(51), it is equal to BC/27. Multiply by 27 on both sides to get 27cos(51) or 27sin(39)= x. Plug into the calculator, and voila.

Answer:

y = (x+1)^2+5

Step-by-step explanation:

Add or subtract from both sides to complete the square;

y=x^2+2x+6; Subtract 5 from both sides

y-5 = x^2+2x+1; Factor;

y - 5 = (x+1)^2; Add 5 back to both sides;

y = (x+1)^2+5

Answer:

y=(x+1)²+5

Step-by-step explanation:

y=x^2+2x+6

a=1; b=2;c=6

subtract 6 from both sides: x^2+2x= -6

complete the square by using the equation (b/2)^2 and add to both sides: x^2+2x+1=-6+1

simplify: x^2+2x+1=-5

find the factors of 1 that add up to 2: 1 and 1

(x+1)(x+1)=-5

add 5 to both sides and simplify

y=(x+1)^2+5

Answer:

3 = 6

Step-by-step explanation:

Answer:

D:  y = 4x^2

Step-by-step explanation:

The graph for which the absolute value of the coefficient of x is largest has the narrowest graph.  That takes us immediately to D:  y = 4x^2.

Answer:

x = 4, y = 2

Step-by-step explanation:

3x - 2y = 8

-2y = -3x + 8

y = 3/2x - 4

2x + 4(3/2x - 4) = 16

2x + 6x - 16 = 16

8x = 32

x = 4  

3(4) - 2y = 8

12 - 2y = 8

-2y = -4

y = 2

Answer:

There are 25 students in the class.

Step-by-step explanation:

Let the total number of students in the class= x

No. of students who passed the test = 18 = 72% of x = 72x/100

Therefore, 72x/100=18

=72x=18*100=1800

=x=1800/72= 25 students.

Hence, total number of students in the class= 25 students

Answer:

Subtract 21 from the left side and add 21 to the right side of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

m∠DEF = 90

Explanation:

Answer: a or D

y e s maybe wrong

Answer:

A

Step-by-step explanation:

Answer: Brent would be wrong because each section of the road is 1/12 mile long

Step-by-step explanation:

The road is 1/4 mile long. When divided into 3 equal parts, it is done in the following manner:

= 1/4 ÷ 3

= 1/4 * 1/3

= 1/12

Each section of the road is 1/12 of a mile long.

3/4 is actually a larger quantity than 1/4 so saying that each section was 3/4 of a mile would mean it was longer than the road itself which is not logical.

A.

Step-by-step explanation:

It's exactly what's asked for.

Answer:

Although im also doing this assignment im pretty sure it means that you can get multiple solutions depending on how you solve it for example 4x4+6 you are able to get 2 answers from this.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base length and h = height

the triangle shown has a base length of 2 and 1/2 and a height 4. and 2/5

So area =

[tex]\frac{2\frac{1}{2} *4\frac{2}{5} }{2} \\\\2\frac{1}{2} *4\frac{2}{5} =11\\\\\frac{11}{2} =5.5[/tex]

5.5 also = [tex]5\frac{1}{2}[/tex]

Hence, the correct answer is A

Answer:

Hello! answer: e = 103 f = 77

and I don't really know what d is sorry! but If I had to guess id say 90

Answer:

16

Step-by-step explanation:

Answer:

22

Step-by-step explanation: