Select the correct answer.
Which equation is equivalent to the formula below?
y = a (x − h)² + k
PADED
HODIN BARISTLE
DEKKING
y k
-
OA G = (1²=51²
(I h)²
-
OB.
h = x = ( ² = ²)²
a
O C.
* = ± √/² = ²
X
OD. k = y + (x - h)²
- h
-

Answer:

Magnitude and Direction is 928 and 44

Step-by-step explanation:

For a Vector w = (x)i+(y)j

The Magnitude of w [tex]=\sqrt{x^{2} +y^{2} }[/tex]

and the Direction of w [tex]=tan^{-1}(\frac{y}{x} )[/tex]

So for our Question , w = - 168i - 160j

Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j

Then the Magnitude of -4w = [tex]\sqrt{672^{2} +640^{2} } =928[/tex]

and the Direction of -4w = [tex]tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44[/tex] ( to the nearest whole number)

Hope it Helps:)

No,  ΔTSR and ΔQRS cannot be proven congruent by SAS because not enough is information given to prove the triangles congruent by SAS.

Two figures or objects are congruent if they have the same shape and size.

To prove using SAS congruency we should have at least two congruent side and one congruent angle.

But we don't have the sufficient information.

Hence, ΔTSR and ΔQRS cannot be proven congruent by SAS.

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Answer:

d

Step-by-step explanation:

This question is incomplete. Below you can find the missing content.

Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units

(3, -1) and (5, 4)

(2, 3) and (4, 5)

(-5, 7) and (8, 5)

(-2, 4) and (3, -1)

The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

The distance between two points can be calculated by the formula given below

Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²

where (x1,y1) and (y1,y2) are the coordinates of the points.

The distance between the points which is of coordinates (3, -1) and (5, 4)

d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units

The distance between the points which is of coordinates (2, 3) and (4, 5)

d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units

The distance between the points which is of coordinates (-5, 7) and (8, 5)

d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units

The distance between the points which is of coordinates (-2, 4) and (3, -1)

d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units

Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

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Answer:

1st option

Step-by-step explanation:

since one pair of opposite sides 10 in , then

x + 2 = 10 ( subtract 2 from both sides )

x = 8

Then

x + 5 = 8 + 5 = 13 in

2x - 5 = 2(8) - 5 = 16 - 5 = 13 in

The opposite sides of a parallelogram are parallel and congruent.

So the quadrilateral could be a parallelogram

Answer: A) Yes, one pair of opposite sides could measure

10 in., and the other pair could measure 13 in.

Step-by-step explanation:

just did it on edu 2023

Answer:

Arithmetic

Step-by-step explanation:

The type of sequence shown is using the number before it to add to the next one.

ex;

2, 4, 6, 8, 10,...

(2 +2, 3 + 3, 4 + 4, 5 + 5) and etc...

The congruence theorem that proves that △BAE ≅ △CAD is: HL.

The HL congruence theorem states that, if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a corresponding leg of another right triangle, then they are congruent triangles.

△BAE and △CAD have:

Congruent hypotenuses: BE ≅ CD.

Congruent legs: BA ≅ CA

Therefore, the congruence theorem that proves they are congruent is: HL.

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Answer: Option 4 or D. HL

Step-by-step explanation:

Answer:

357 cm2

Step-by-step explanation:

The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!

Answer:

s = 5.5r

Step-by-step explanation:

Since a dog can run 5.5 times faster than a child that means that the dog's speed (s) should be equal to 5.5 times the speed of the child (r).

Therefore,

speed of dog (s) = 5.5 × speed of child (r)

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

The functions are given as:

f(x) = x

g(x) = mx

Substitute f(x) = x in g(x) = mx

g(x) = mf(x)

From the question, we understand that:

m > 1

This means that;

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

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Answer:

-4

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1, so 1/4 x -4 = -1

Hence the slope for line B is -4

Answer:

16/25 or 64%

Step-by-step explanation:

There are 12 even numbers between 1 and 25: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and 24

There are 8 multiples of 3 between 1 and 25: 3, 6, 9, 12, 15, 18, 21, and 24

That makes your odds 20/25. But, you can't count numbers twice! So eliminate the repeats and you get:

2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, and 24

which is 16/25 numbers that satisfy being an even number, a multiple of 3, or both

hope this helped :)

Answer:

t =amount of texts

a. 0.01t+20=y

b. 50=y

so that means that they equal each other

0.01t+20=50

-20

0.01t=30

t=3001

Hope This Helps!!!

Answer:

For plan B to save money cell phone user need to send 3000 texts per month as [tex]\frac{x}{y}[/tex] expresses the average texts sent per month by cell phone user and its obtained value is 3000.

Step-by-step explanation:

In the question it is given that a cell phone company offers two plans for minutes.

Plan A: $20 per month and $1 for every one hundred texts.

Plan B: $50 per month with free unlimited texts.

It is required to find that how many texts would be needed to send per month for plan B to save money. be needed to send per month for plan B to save money.

Step 1 of 5

In Plan A $20 per month and $1 for every one hundred texts are costed so the cost of Plan A is given by following equation,

[tex]$A=20 y+\frac{x}{100}$[/tex]

In Plan B $50 per month with free unlimited texts are costed so the cost of Plan B is given by following equation,

[tex]$$B=50 y$$[/tex]

Step 2 of 5

Now comparing the obtained equations [tex]$A=20 y+\frac{x}{100}$[/tex]

and B=50y.

[tex]$20 y+\frac{x}{100}=50 y$$[/tex]

Step 3 of 5

Subtract 20y from both the sides of the obtained equation [tex]$20 y+\frac{x}{100}=50 y$[/tex] and simplify using subtraction properties.

[tex]$$\begin{aligned}&20 y+\frac{x}{100}-20 y=50 y-20 y \\&\frac{x}{100}=30 y\end{aligned}$$[/tex]

Step 4 of 5

Multiply both the sides of the obtained equation [tex]$\frac{x}{100}=30 y$[/tex] by 100 and simplify using multiplication properties.

[tex]$$\begin{aligned}&\frac{x}{100} \cdot 100=30 y .100 \\&x=3000 y\end{aligned}$$[/tex]

Step 5 of 5

Divide both the sides of the obtained equation x=3000y by y and simplify using division properties.

[tex]$$\begin{aligned}&\frac{x}{y}=\frac{3000 y}{y} \\&\frac{x}{y}=3000\end{aligned}$$[/tex]

As [tex]$\frac{x}{y}$[/tex] expresses the average texts sent per month by cell phone user. So, for plan B to save money cell phone user need to send 3000 texts per month.

Answer:

(4,1), (4,2) pairs can be removed to make relation a function.

Step-by-step explanation:

Function states the relationship of ordered pairs where set A must have unique elements.

Using it's concept, the expression that can be used to find the probability that a randomly selected point is in the white area of the grid is:

[tex]\frac{7}{16}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, 7 out of 16 squares are in the white area, hence the probability is given by:

[tex]p = \frac{7}{16}[/tex].

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Answer:

16.2 kilograms

Step-by-step explanation:

30 300-gram cans = 9000 grams of soup

18 400-gram cans = 7200 grams of vegetables

9000 + 7200 = 16200 grams

1000 grams = 1 kilogram

16200 / 1000 = 16.2 kilograms

The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

The number of cans of soup in one box = 30 cans

And each can has 300 grams of soup.

So , the total amount of soup in one box is :

= 30 × 300

= 9000 grams of soup

Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.

So , the total amount of vegetable in the other box is :

= 18 × 400

= 7200 grams

Total food students collect is :

= 9000 grams soup + 7200 grams vegetables

= 16200 grams food

We know that :

1000 grams = 1 kilogram

So , converting grams into kilograms we get :

16200 / 1000 = 16.2 kilograms food

Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

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Answer: Function, not a function, Function, not a function

Step-by-step explanation:

For it to be a function, each value of x has to map onto one value of y.

Answer:

012

Step-by-step explanation:

please mark brainliest if correct

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,

Slope = (-2 + 3) / (-4 + 3) = 1/-1 = -1

The equation of the parallel line that is passing through point P is,

y = mx + c

y = -x + c

-3 = -(-3) + c

-3 -3 = c

c = -6

Hence, the slope of the lines is -1, and the equation of the parallel line is y-x-6.

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Answer:

-1

 y + 3 = -1 (x+3)

b,b               `

Step-by-step explanation:

The answer that matches the information in the graph is zero x = -2.

The zeros of a function are the point on which graph intersects the x axis or we can say the value of x when y = 0.

Substitute y = 0 in the provided equation.

0 = x + 2

x = -2

The coordinate is (-2,0). Also the zero of the graph is at x = -2 because it follows the definition of zeros.

Now substitute x = 0 in the provided equation.

y = 0 + 2

y = 2

The coordinate is (0,2).

Hence, the answer that matches the information is zero x = -2.

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Answer:

[tex]-1\frac{2}{3}[/tex]

Step-by-step explanation:

2/3 ÷ -2/5.

Flip -2/5 to -5/2 so that it can be multiplied.

2/3 × -5/2 = -10/6.

Reduce.

-10/6 reduced is -5/3.

Extract the whole number from this fraction to make it a mixed number.

-5/3 is equal to -1 2/3

Hope this helps!

We can do the inverse, where division basically becomes multiplication. You just flip the denominator and numerator (lower and upper part of the division sign).

[tex]\frac{2}{3} *-\frac{5}{2}[/tex]
The negative stays even when you inverse it. Make sure on future problems you inverse whats being divided, which in this case was -2/5.

We can now multiply across and get:
[tex]- \frac{10}{6}[/tex] as 2•5=10, 3•-2=-6. Therefore -10/6.

Which can be simplified into [tex]-1 \frac{2}{3}[/tex]. This is because 10 goes into 6 once leaving 4. That makes it -1 4/6, but 4/6 can be reduced by a common factor, 2. So just divide 4 and 6 by 2, which is 2/3. So thats why it is -1 2/3.

Brainliest would really help me out, if you have any questions message me

Answer:

40 two-digit numbers have one odd digit and one even digit in them.

[tex]c(g) = 7g + 52 \\ c(0) = 52[/tex]

[tex]g(x) = x {}^{2} - 7x + 12 \\ g(x) = 0 \\ x = 3 \: \: \: \: \: \: \: \: x = 4[/tex]

Let's see

#1

So

x intercepts

True

#2

Option C

#3

Option D

#4

I solved it in your another question , Can't add that answer here due to copyright restrictions

Answer:

Answer:1.5*10^9 years

Step-by-step explanation:

The half life of the substance is given i.e 4.5B years. You can change it into seconds by multiplying it with 365 and 86400.

The current no of particles is given 78.88% which will be equal to 78.88 if you assume the substance had 100 no of particle initially.

Determine the decay constant by dividing 0.69 by half life

use these values in the equation for the answer.

[ln and e are inverse functions to eachother]

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

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The whole number consisting of x in the hundreds place, y in the tens place, and 2 in the ones place is; xy2.

It follows from the task content that the whole number described has x in the hundreds place, y in the tens place, and 2 in the ones place.

The whole number in discuss can be broken down simply as: (x×100) + (y×10) +(2×1).

Hence, the whole number is; xy2.

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Answer:

5

Step-by-step explanation:

This is quite some trial and error question.

Based on the question, the numbers we can use are 1,3,5,7 and 9.

We will start with the middle digit first.

Since the question has stated it is 3 times the last digit, the number has to be in multiples of 3.

So we are left with: 3 and 9.

Then, the question also states the middle digit is 4 more than the first digit. See, its a digit, so the value cannot be less than 1 (odd numbers only and no negative values), so if we subtract 4 to the middle digit to find the first, it should still be a Positive Single numerical value.

3 - 4 = -1

9 - 4 = 5

Therefore, this middle digit is = 9.

Since we know the middle digit = 9

The first digit will be 9 - 4 = 5

The whole value is now 593.

Answer: 44

Step-by-step explanation:

1:2 is the ratio that serves lands in and serves land out

22:44

Answer:

10000

Step-by-step explanation:

When computing a consecutive sum of integers with a difference of 1.

Use gauss's formula of (n/2)(first number + last number).

with n being the # of integers.

Since it is ascending and descending, it can be broken down into 2 sequences:

1 + 2 + 3 + ... + 99 and 1 + 2 + 3 + ... + 100.

Once each is calculated, add them up to find the value.

So:

1 + 2 + 3 + ... + 99 = (99/2)(100) = 4950.

1 + 2 + 3 + ... + 100 = (100/2)(101) = 5050.

4950 + 5050 = 10000

Answer:

QUESTION 1:  (-3,0), (1,1), (5, 2), (9,3)

QUESTION 2: Draw a mapping diagram (see question 3)

QUESTION 3: Yes, the image below is a function.

Step-by-step explanation:

For question 1, you can pair the domains (x-values) with any y-value. The y-values can repeat.

For question 3b, you must understand that domains cannot repeat, but ranges (y-values can). In 3b, every x-value has a unique y-value which means that it is a function. You can also determine is something is a function by seeing if its graph passes the vertical line test.

Yes

As per definition

Every domain of the function has an unique range

Here

Hence it's a function