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4 years ago

Help!!!!!! Question is attached below

Mathematics

1 answer:

coldgirl [10]4 years ago

8 0

1.) slope: 3 Y-intercept: 5
2.) slope: -3 Y-intercept: -5
3.) slope: 1/3 Y-intercept: 5
4.) slope: -1/3 Y-intercept: -5
Hope that helps!!
Have a wonderful day!!

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the Function h(x)=1/2(x+3)^2+2. How is the graph of h(x) translated from the parent graph of a qaudratic function, f(x)=x^2

Kay [80]

Answer:

Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

Step-by-step explanation:

Given function: $h(x)=\dfrac{1}{2}(x+3)^2+2$

Parent function: $f(x)=x^2$

It is parabolic function.

$h(x)=\dfrac{1}{2}(x+3)^2+2$

Shift 2 unit down

$g(x)=\dfrac{1}{2}(x+3)^2+2-2$

$g(x)=\dfrac{1}{2}(x+3)^2$

Shift 3 unit right

$g(x)=\dfrac{1}{2}(x+3-3)^2$

$g(x)=\dfrac{1}{2}x^2$

Vertical stretch by factor 2

$g(x)=2\cdot dfrac{1}{2}x^2$

$g(x)=x^2=f(x)$

So, Translation of h(x) is 2 unit down, 3 unit right and vertical stretch by 2

6 0

3 years ago

Read 2 more answers

Shania and Pedro are discussing whether it is always possible to solve a right triangle, given enough information, without using

Makovka662 [10]

Answer: Shania is correct.

Step-by-step explanation:

For a right angled triangle, given two sides and an angle, we can use the sine rule or the various trigonometry identities to solve the triangle;

a/sin A = b/sinB

and

sin (angle) = opposite side/hypotenuse

cos (angle) = adjacent side/hypotenuse

tan (angle) = opposite/ adjacent

assuming a is the opposite side of angle A and b is also opposite of angle B

Otherwise, the only way to solve a triangle given two sides only is by the use of the Pythagoras theorem.

Hence, Shania is correct.

7 0

3 years ago

Multiply 6/5 x 25/24.

Paha777 [63]

Answer:

5/4

Decimal Form:

1.25

Mixed Number Form:

1 and 1/4

8 0

3 years ago

If an M:N relationship is mandatory on both sides, and if both relations resulting from the entities involved in the relationshi

aalyn [17]

Answer:

Step-by-step explanation:

A mandatory relationship means that for every A there must be a B and vice versa. The excessive is saying that you have a relationship with 3 records each, therefore the bridge relation cannot have less than 3 records otherwise the mandatory aspect will be broke.

I hope you find this information useful and interetsing! Good luck!

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3 years ago

Which factors is multiplied and give you 24 and when added gives you -4

klio [65]

Answer: the no.s are-

2.472

-6.472

Step-by-step explanation:

xy=24-----1

x+y=-4------2

from 2 we get x=-4-y

sustituting=

into 1 we get

quadratic eq = y^2 + 4y + 24=0

-4+- root 16-96/2

thus on further solving we get -2 +-4.472

on adding= -2+4.472= 2.472

on subtraction= -2 -4.472= -6.472

5 0

3 years ago