If the vertex of a parabola is (-5,8)​, what is the axis of​ symmetry?

Answer:

b. i think

Step-by-step explanation:

Answer:

26/ 43

(Decimal: 0.604651)

Step-by-step explanation:

((2)(4)−3)2+1/ 3+ 100/ 5 (2)

Answer:

0.38m

Step-by-step explanation:

1 1/4 m= 1.25m

1.25-0.87m

=0.38m

Answer:

the snake grows 0.38m

Step-by-step explanation:

To find out how much the snake grows you need to find the differences between the length of the snake after and the length before, this means you do:

the grow = the length of the snake after - the length of the snake before

= [tex]1\frac{1}{4}[/tex] - 0.87

= 1.25 - 0.87

= 0.38m

so the snake grows 0.38m

Answer: 5 could be a solution to x because 5 is less than 5.001

Step-by-step explanation:

Answer:

i do not know

Step-by-step explanation:

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

Answer:

[tex] 266.14 \: {cm}^{2} [/tex]

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

[tex] = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} [/tex]

The difference between the areas in square miles is 481.

Given that Alaska is 873 sq miles in size, while Rhode Island is 392 sq miles in total, to determine what is the difference between the areas in square miles, the following calculation must be performed:

Therefore, the difference between the areas in square miles is 481.

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The missing side of the right angle triangle is 8.0622577483 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

Triangle is a right angle triangle.

And the sides of a right-angled triangle are:

Base = 4 unit

Perpendicular = 7 units.

To find the length of the hypotenuse:

We apply Pythagoras theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Substituting the values in the equation,

(hypotenuse)² = (4)² + (7)²

(x)² = 16 + 49

(x) = √(65)

(x) = 8.0622577483

Therefore, the value of x is 8.0622577483 units.

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Answer:

520

Step-by-step explanation:

happy to help ya :)

Answer:

mixed number form: 9 1/3

decimal form: 9.3 (repeating)

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

2 1/3 ÷ 1/4

change mixed fraction tom improper fraction - 2x3+1 = 7/3

change divide sign to multiply and reciprocate 1/4 to 4/1

multiply fractions- 7/3 x 4/1

                             7x4/ 3x 1

                              28/3

                                 9.33

Answer:

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

[tex]x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}[/tex]

Answer:

0.077 < 0.7 < 0.707 < 0.77 < 0.777

Answer:

b

Step-by-step explanation:

Answer:agree.

Step-by-step explanation:

Answer:

=−4.2f−36

Step-by-step explanation:

combine like terms

Answer:

Right Triangle and isosceles

Step-by-step explanation:

It is a right triangle given the 90° angle, but it is isosceles because only 2 of the sides are of equal length.

Answer:

-x - 2530

Step-by-step explanation:

5x - 2530 - 6x

5x - 6x = -x

-x - 2530

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5/x-(25/30)=0  

Step by step solution :

STEP

1

:

           5

Simplify   —

           6

Equation at the end of step

1

:

 5    5

 — -  —  = 0  

 x    6

STEP

2

:

           5

Simplify   —

           x

Equation at the end of step

2

:

 5    5

 — -  —  = 0  

 x    6

STEP

3

:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       x  

     The right denominator is :       6  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 0 1 1

3 0 1 1

Product of all  

Prime Factors  1 6 6

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

x  1 0 1

     Least Common Multiple:   6x

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 6

  Right_M = L.C.M / R_Deno = x

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      5 • 6

  ——————————————————  =   —————

        L.C.M              6x  

  R. Mult. • R. Num.      5 • x

  ——————————————————  =   —————

        L.C.M              6x  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 • 6 - (5 • x)     30 - 5x

———————————————  =  ———————

      6x              6x    

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  30 - 5x  =   -5 • (x - 6)  

Equation at the end of step

4

:

 -5 • (x - 6)

 ————————————  = 0  

      6x      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -5•(x-6)

 ———————— • 6x = 0 • 6x

    6x    

Now, on the left hand side, the  6x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -5  •  (x-6)  = 0

Equations which are never true:

5.2      Solve :    -5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.3      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

One solution was found :

x = 6

this should make it ez for you now

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation:

According to the Pythagorean Theorem, the legs of a right triangle squared and added together is equivalent to the hypotenuse squared. To solve for x, you can use any of the two right triangles. Each of the bottom legs of the right triangles is 9 units since the two right triangles are congruent, so now we apply the Pythagorean Theorem to solve for x. [tex]x^2+9^2=19^2[/tex] ⇒ [tex]x^2+81 = 361[/tex] ⇒ [tex]x^2 = 280[/tex] ⇒ [tex]x = \sqrt{280}[/tex] ⇒ [tex]x = \sqrt{4 * 70}[/tex] ⇒ [tex]x = \sqrt{4} * \sqrt{70}[/tex] ⇒ [tex]x = 2\sqrt{70}[/tex].

Answer:

YesUs

Step-by-step explanation:

the vertical LIne test. The lines intercept, so it is not a function.

The inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

For a 2 by 2 matrix, the inverse is generally expressed as:

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]

Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.

Determine the determinant

|A| = 5(5) - 2(12)

|A| = 25 - 24

|A| = 1

Substitute the values into the formula above

[tex]\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Hence the inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

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Answer:

uh i think thats acute so maybe a?

Answer:

Amaia walked 28 meters

Step-by-step explanation:

So first we know that the side x+3 is equal to the side 3x+1

subtract 1 and x from both sides to get x=1

then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.

plug in 1 to one of the original equations to get 4

4+4+10+10=28

Answer:

sis 3rd option is correct

Answer: y= x-2

Step-by-step explanation:

Perpendicularity entails the slope of line a is -1 divided by the slope of line b

m1= (-1/m2)

From y=Mx +c

We compare with x-4y=7

y=(1/4)x-7/4

Meaning m2= 1/4

m1= -1/(1/4)= -1*4= -4

((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1

x1= 2, y1= -4

((y-(-4))/(x-2))= -4

((y+4)/(x-2))= -4

Cross multiply

y+4= -4(x-2)

y= x-2

Answer:

Sorry, you didn't attach an image.

Step-by-step explanation:

Good luck with your test!