What are the vertex and axis of symmetry of the parabola y = x2 + 10x + 30?

Answer:

+1-1=0

4x>-8

x>-2

Step-by-step explanation:

Answer:

x>−2

Step-by-step explanation:

Answer:

C. 17.4

Step-by-step explanation:

add all the numbers and then divide  

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

then divide by the amount of numbers there is which is 10.

174/10 = 17.4

Answer:

وتؤوثتيمسوثاسز لا لا لا وا

Answer:

616 sq. m

Step-by-step explanation:

The area of a square = 484

(Side)2 = 484  

side of a square = 22 m

According to the question,

circumference of a circle = perimeter of a square

2∏r = 4 × 22

r = 88 × 7/22 × 1/2  

r = 14 m

Area of a circle = ∏r2 = 22/7 × 142 = 616 sq. m

Answer:

2.09 for only one triangle.

4.18 for two triangles.

Step-by-step explanation:

Hope this helps good luck in math if you need to look up how to find the area of a triangle all you have to do is multiply the base times the height then divide it by two.

Have a great day!

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:

(x + 1)(x + 2)(2x + 1)(x - 3).

Step-by-step explanation:

From the leading and last coefficients, 2 and -6  the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).

Try x = 1:

f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.

f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.

Therefore (x + 1) is a factor  (By the factor theorem)

Try x = 2:

f(2) =  32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.

f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.

(x + 1)(x + 2) = x^2 + 3x + 2.

Long division:

                        2x^2 - 5x - 3   <-----------Quotient

                      --------------------------------------------

x^2 + 3x + 2 )     2x^4  +   x^3   -14x^2 -  19x  -  6

                          2x^4  + 6x^3 +  4x^2  

                                      -5x^3  - 18x^2 - 19x

                                      -5x^3  - 15x^2 - 10x

                                                      -3x^2 - 9x  - 6

                                                      -3x^2  - 9x - 6

                                                       .......................

2x^2 - 5x - 3 = (2x + 1)(x - 3)

So Finally,   the factors are (x + 1)(x + 2)(2x + 1)(x - 3).

Answer: 5

Step-by-step explanation:

46.4 inch

Step-by-step explanation:

Area=l×b

93.6 =5.2×b

93.6/5.2 =b

So b= 18

Again,

p=2(l+b)

p=2(18+5.2)

p= 2×23.2

p=46.4

Answer: Mostly. The middle number of the data is the median (set should be in order). If there are more than one middle numbers, then they are not the median but the average of those numbers are the median.

This is not necassary that average is always present in the listed information.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

With a data set there are multiple number and always a middle whether or not its 2 numbers or 15. theres always a median.  

Answer:

In Fig. 8.27 , AP and, BP are tangents to a circle wit

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.

An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.

An isosceles triangle is a triangle with two equal sides.

Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.

Since no two sides are the same hence it is not an isosceles triangle.

Also, 18² > 16² + 8²; therefore this is an obtuse triangle

Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.

Step-by-step explanation:

Answer:

Its 15

Step-by-step explanation:

The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!

Answer:

x = 1/2,-3

Step-by-step explanation:

I think the answer is x = 1/2, -3.

Answer:

[tex]X=18.6ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of swing's crossbar [tex]H=10ft[/tex]

Angle [tex]\theta=40 \textdegree[/tex]

Depth of outrigger [tex]d_=3ft[/tex]

Generally the equation for slant height l is mathematically given by

[tex]l=\frac{opposite}{sin\theta}[/tex]

Therefore

[tex]l=\frac{H}{sin\theta}[/tex]

[tex]l=\frac{10}{sin 40\textdegree}[/tex]

[tex]l=15.6ft[/tex]

Since the Depth of outrigger

[tex]d_=3ft[/tex]

Therefore Length of the board X

[tex]X=l+d[/tex]

[tex]X=15.6+3[/tex]

[tex]X=18.6ft[/tex]

Answer:

-1.2

Step-by-step explanation:

I took the same direct variation test and got this one right

hope this helps!

Answer:

Solution given:

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

Answer:

x

=

2

Step-by-step explanation:

Answer:

Hello! answer: x = 12

Step-by-step explanation:

with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12

Answer:

600

Step-by-step explanation:

Answer:

80 sq ft

Step-by-step explanation:

this is a trapezoid and the formula for area is:

1/2 x height x (sum of the bases, which are parallel)

A = 1/2(10)(10+6)

= 5(16)

= 80 sq ft

Answer:

[tex]{\small{\boxed{\sf{\red{here's \: your \: solution...}}}}} \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =\pi \: r {}^{2} { \div 2} {} }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{radius = 8cm }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =(22/7 \times 64) \div 2}}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =100.57 \: cm {}^{2} }}}}}[/tex]

[tex]\small\mathfrak\green{Hope \: it \: helps \: \: .......| }[/tex]

Answer:

None of the listed choices are a solution

Step-by-step explanation:

y = 4x - 28

y = 1.5x - 18

Set the equations equal since both equal y

4x - 28 = 1.5x - 18

Subtract 1.5x from both sides

2.5x - 28 = -18

Add 28 to both sides

2.5x = 10

Divide both sides by 2.5

x = 4

---------------------

use x= 4 in either equation

y = 4x - 28

y = 4(4) - 28

y = 16 - 28

y = -12

--------------------

Solution (4, -12)

Answer:

I would say b as it's easier to group and find a common denominator

Step-by-step explanation:

Answer:

hi bye good luck

Step-by-step explanation:

Answer:

idek;)

Step-by-step explanation:

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

Answer: [tex]12< x \leq 20[/tex]

Step-by-step explanation:

Given

x is at a distance of 20 or less i.e. x can be 20 or less

[tex]x\leq20[/tex]

and it starts from the number 12 i.e.

[tex]12< x[/tex]

In interval notation it is

[tex]12< x \leq 20[/tex]

Answer:

Step-by-step explanation:

Given

Required equation:

The y-intercept is:

Bacteria population 35 in hours:

Answer:

2.77083333333

Step-by-step explanation:

I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}