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3 years ago

Write the direct variation function given that y varies directly with x, and y = 6 when x = 10.

Mathematics

1 answer:

ivolga24 [154]3 years ago

4 0

0.6=k
This is your answer because the equation is for direct variation is y=kx
You substitute the numbers

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

NEED HELP ASAP 30 POINTS

klemol [59]

30 is the answer. You do 10X 3 which is 30- 2 which is 28 and 28 to the nearest 10th is 30

8 0

2 years ago

Need The Answer Plz And Thank You!! I’m Failing

sp2606 [1]

Angle BCA

Step-by-step explanation:

You can see this due to the angle having the name amount of congruent angle marks.

5 0

3 years ago

Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou

mixer [17]

Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)

they drove 360 km
so you have 2x + 2(x-12) = 360
solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour

5 0

3 years ago

Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after ring of hexagonal cells aro

maw [93]

Answer:

aₙ= 6 n

Step-by-step explanation:

A honey comb cell contain 6 cells

a₁ = 6

d=6

aₙ = 6 + (n-1)6

= 6 n

7 0

3 years ago