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3 years ago

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The perimeter of a triangle is 47cmIf the longest side of the triangle is 4cm less than three times the shortest side and the th

ird side is 6 cm more than the shortest side how long is the third side of the trangle ?

1 answer:

mario62 [17]3 years ago

4 0

Step-by-step explanation:

$please \: try \: again$

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What is the equation to a graph with the vertex -1,3 and zeros -4 and -2

Mashutka [201]

Answer:

$f(x)=x^2+6x+8$

Step-by-step explanation:

We are given zeros as x=-4, x=-2

so, we can set up function as

$f(x)=a(x+4)(x+2)$

Vertex is at (-1,3)

It means that graph passes through point (-1,3)

so, we can plug x=-1 and f(x)=3

and then we can solve for 'a'

$3=a(-1+4)(-1+2)$

we get

$a=1$

now, we can plug it back

and we get

$f(x)=1(x+4)(x+2)$

now, we can simplify it

$f(x)=x^2+6x+8$

5 0

3 years ago

HELPPPPP ASP PLZZZZZ

-Dominant- [34]

Answer:

$(f-g)(x)$

$f(x)-g(x)$

$x^{2} -6x-27-x+9$

$x^{2} -7x-18$

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

$(f*g)(x)$

$=f(x)g(x)$

$(x^{2} -6x-27)(x-9)$

$=x^{3} -15x^{2}+27x+243$

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

$\frac{f}{g} (x)$

$\frac{x^{2} -6x-27}{x-9}$

$\frac{(x-9)(x+3)}{x-9}$

$x+3$

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

$(f+g)(x)$

$f(x)+g(x)$

$=x^{2} -6x-27+x-9$

$=x^{2} -5x-36$

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

<u>OAmalOHopeO</u>

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

5 0

3 years ago

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applie

Y_Kistochka [10]

Answer:

The coordinates of T' will be T'(13,-1)

Step-by-step explanation:

step 1

Find the rule of the translation

take any point of rectangle JKLM (pre-image)

The coordinate of point k(-3,2)

The coordinate of point k'(4,7)

so

The rule of the transformation

k(-3,2) -----> k'(4,7)

is equal to

(x,y) ------> (x+7,y+5)

That means ----> the translation is 7 units at right and 5 units up

step 2

Apply the rule of the translation at the coordinate T of trapezoid STUV

we have

T(6,-6)

(x,y) ------> (x+7,y+5)

T(6,-6) ------> T'(6+7,-6+5)

T(6,-6) ------> T'(13,-1)

therefore

The coordinates of T' will be T'(13,-1)

6 0

3 years ago

I'm so confused. If you answer, please explain.

Ahat [919]

Answer:

its SAS

Step-by-step explanation:

HF = GF

HGJ angle = FGJ angle

JG = JG

3 0

3 years ago

Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour. A. Explain a method f

Soloha48 [4]

Answer:

A. 3.2307692308 batches of Muffins

B. 16 1/4 cups of flour

Step-by-step explanation:

Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

A. Explain a method for determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make.

Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

3 1/4 cups of flour = 1 batch of Muffin recipe

10 1/2 cups of flour = x

3 1/4 × x = 10 1/2 × 1

x = 10 1/2 ÷ 3 1/4

x = 21/2 ÷ 13/4

x = 21/2 × 4/13

x = 42/13

x = 3.2307692308 batches of Muffins

B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.

3 1/4 cups of flour = 1 batch of Muffin recipe

Hence,

1 batch = 3 1/4 cups of flour

5 batches = x

Cross Multiply

x = 5 × 3 1/4 cups of flour

x = 5 × 13/4

x = 65/4

x = 16 1/4 cups of flour

6 0

3 years ago