Use the given equation of a parabola to answer the questions. (x + 2)²2 = 7(y+3) What is the standard form of the equation?
a. 1/7 (x + 2)² = y + 3
b. (x + 2)² = 7(y + 3)
c. (x + 2)² = 7y + 21

The relationship between dollars delivered and rand received represents a function.

Corresponds to a mathematical relationship between two variables, x and y, where the set of x values ​​is associated with a y value. Being expressed by the formula:

Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.

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Answer:

if an input produces more than one output, the table does not represent a function. In this case, table D is not a function. the x value 0 has three different output values, -1, 4, and 6; the input 2 also has three different output values.

Answer:

\( w = \dfrac{Q - 1}{5} \)

Step-by-step explanation:

Q = 5w + 1

Switch sides.

5w + 1 = Q

Subtract 1 from both sides.

5w = Q - 1

Divide both sides by 5.

\( w = \dfrac{Q - 1}{5} \)

To make w the subject of the formula Q=5w+1, subtract 1 from both sides and then divide both sides by 5 to solve for w.

To make w the subject of the formula Q=5w+1, we need to isolate w on one side of the equation. Here are the steps:

By following these steps, you can make w the subject of the formula Q=5w+1.

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Answer:

x can be all real numbers

Step-by-step explanation:

1 - 5x = -5x + 1

-5x+5x=1-1

0=0

Answer:

1/10

Step-by-step explanation:

5x=-5x+1

Move the variable to the left hand and change its sign

5x+5x=1

10x=1

x=1/10

The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

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The reflective device, in this case, enables us to accurately locate the points of intersection and construct the angle bisectors, leading us to determine the incenter of the triangle.

To construct the angle bisectors and find the incenter of triangle XYZ, we can follow these steps:

1. Place your compass at point X and draw an arc that intersects the two sides of the angle formed by lines XY and XZ. Label the points of intersection as A and B.

2. Without changing the compass width, place the compass at point Y and draw an arc that intersects the two sides of the angle formed by lines YX and YZ. Label the points of intersection as C and D.

3. Repeat the same process by placing the compass at point Z and drawing an arc that intersects the two sides of the angle formed by lines ZX and ZY. Label the points of intersection as E and F.

4. Now, draw lines connecting the vertex of the angle (X, Y, Z) to the points of intersection on the opposite sides. These lines are the angle bisectors of triangle XYZ.

5. The point where the angle bisectors intersect is the incenter of the triangle. Label this point as I. This point is equidistant from the three sides of the triangle, making it the center of the inscribed circle.

The reflective device, in this case, refers to using a compass to create arcs and intersections. By reflecting the compass over different points, we can find the points of intersection for the angle bisectors.

For example, when constructing the angle bisector at point X, we place the compass at X, and by reflecting it to intersect the sides of the angle at A and B, we find the points of intersection.

Similarly, we repeat this process at points Y and Z to find the remaining points of intersection for the angle bisectors.

By connecting these points, we form the angle bisectors, and the incenter of the triangle is the point where these bisectors intersect.

The reflective device, in this case, enables us to accurately locate the points of intersection and construct the angle bisectors, leading us to determine the incenter of the triangle.

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Answer:

8 7/20

Step-by-step explanation:

Converting both numbers to improper fractions :

4 3/5

⇒ (4 x 5/5) + 3/5

⇒ 20/5 + 3/5

⇒ 23/5

-3 3/4

⇒ - (3 x 4/4 + 3/4)

⇒ - (12/4 + 3/4)

⇒  -15/4

Take the LCM as 20 and convert :

23/5

⇒ 23/5 x 4/4

⇒ 92/20

-15/4

⇒ -15/4 x 5/5

⇒ -75/20

Now find the difference :

⇒ 92/20 - (-75/20)

⇒ 92/20 + 75/20

⇒ 92 + 75 / 20

⇒ 167/20

Now convert into a mixed number :

⇒ 167/20

⇒ 8 7/20

Find the difference

Answer:

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Step-by-step explanation:

Given vertices are A(3,3) and B(6,9)

           AB =

Given vertices are  B(6,9) and C( 6,-3)

            =  

   BC = 12

Given vertices are  A(3,3) and C( 6,-3)

AC² = AB²+BC²

45  = 45+144

45  ≠ 189

∴Given Δ ABC is not a right angle triangle

Step-by-step explanation:

None of the options provided (A, B, C, or D) match the radical expression of a(5/7), which is (5a)/7.

The radical expression of a(5/7) can be found by simplifying it to its simplest form.

First, let's rewrite the expression: a(5/7) = (5a)/7

Now, let's find the radical expression. A radical expression involves taking a root of a number.

Since we don't have any square roots or higher roots in the given expression, the radical expression of a(5/7) is simply (5a)/7.

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Answer:

B

Step-by-step explanation:

A parent function is the simplest function that still satisfies the definition of a certain type of function. One of those functions is exponential, which is b.

   Option (B) will be the correct option.

We will check each option given for the definition of a parent function.

Option (A)

\(f(x)=-2^{x+1}\)

Parent function will be,

\(f(x)=2^x\)

Option (B),

\(f(x)=4^x\)

It's a simplest form of an exponential function.

Therefore, it's a parent function.

Option (C),

\(f(x)=e^{3x}-2\)

Parent function → \(f(x)=e^{3x}\)

Option (D),

\(f(x)=4x^2\)

Parent function → \(f(x)=x^2\)

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Answer:

17/24 or 0.708333

Step-by-step explanation:

hope that helps :)

Answer:

A) D) F)

Step-by-step explanation:

A) Since the graph is 10x10, and there are 10 seasons, it makes sense for A) to be an option

D) There is a total of 50 values that will be on the verticle axis, which seems like a fair number when the highest value is 37

F) (Season 8, 30 average points per game)

Answer:

y=5x-2

Step-by-step explanation:

y=mx+b is slope-intercept form. To get this, we need to isolate y.

First subtract 5x from both sides.

5x-y=2

-5x     -5x

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

-y=2-5x

y needs to be positive, so divide both sides by -1.

-y/-1=2-5x/-1

y=-2+5x

Lastly, rearrange.

y=5x-2

Answer:

55

Step-by-step explanation:

Answer:

w = 12 cm

Step-by-step explanation:

Pythagora

d² = l² + w²

w² = d² - l²

w = √(15cm)² - (9cm)²

= √225cm² - 81cm²

= √144cm²

= 12 cm

Answer:

12cm

Step-by-step explanation:

The diagonal and the length and width form a triangle

Use pythagorous theorem

(15^2)- (9^2)

=144

find square root of 144cm

answer becomes 12cm

Answer:

Step-by-step explanation:

Center angle theorem:

∠ABC = (1/2)*∠AOC

∠ABC = \(\frac{56}{2}=28\)

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer: here it is!

Step-by-step explanation :

peter griffin is in fortnight thats the answer we all need

Answer: an intiger is a whole number, positive or negative. It has no decimals.

Step-by-step explanation:

The two triangles are similar If they have the same shape, but their sizes are different.

Similar triangles are triangles that have the same shape, but their sizes may be same or different. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. The similarity of triangles are denoted by ‘~’ symbol

AA (or AAA) or Angle-Angle Similarity

If any two angles of a triangle are equal to any two angles of another triangle, then those two triangles are similar to each other.

SAS or Side-Angle-Side Similarity

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed between those two sides in both the triangle are equal, then two triangles are said to be similar.

SSS or Side-Side-Side Similarity

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Therefore, two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

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Answer:

d=t10

Step-by-step explanation:

Answer:

\(need \: cans \: = \frac{2}{3} \times 2 \times 7 = \frac{28}{3} = 9.33 < 12 \\ they \: are \: enoug \: for \: one \: week\)

Answer:

9/10 or 0.9

Step-by-step explanation:

Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run

where
rise = y2 - y1
run = x2 - x1

Given points (- 6, - 5) and (4, 4),

rise = 4 - (-5) = 4 + 5 = 9

run = 4 - ( - 6) = 4 + 6 = 10

Slope = rise/run = 9/10 or 0.9

Answer:

According to Bodmass, the Answer is 96

Step-by-step explanation:

Answer:

3. 96

Step-by-step explanation:

6( 9 + 7)

6(9 + 7)

using the distribution method

54 + 42

96

Answer:

Step-by-step explanation:

A: +2

B: +2

C: -25

D: x3

Answer:

A

Step-by-step explanation:

the range is from 9+12 and 12-9, 3<x<21 (9+12=21, 12-9=3)

Answer:

y= 2x+1

hope it helps...........

Step-by-step explanation:

the process is show in the above picture.