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3 years ago

7

Find the x and y intercepts 8x-4y= -16

1 answer:

scZoUnD [109]3 years ago

8 0

$8x-4y=-16\\\\x-intercept\ for\ y=0:\\\\8x-4(0)=-16\\\\8x-0=-16\\\\8x=-16\qquad\text{divide both sides by 8}\\\\\boxed{x=-2\to(-2,\ 0)}\\\\y-intercept\ for\ x=0:\\\\8(0)-4y=-16\\\\0-4y=-16\\\\-4y=-16\qquad\text{divide both sides by (-4)}\\\\\boxed{y=4\to(0,\ 4)}$

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A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck

anzhelika [568]

Alright, lets get started.

Suppose the original deck size: width = x feet

the width is one-fourth the length given in question means length = 4 x feet

Means the originally area = $x * 4 x = 4 x^{2}$

Now the dimensions are changed.

New dimensions, width = (x + 6)

new length = (4x+10)

So, new area will be = $(x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60$

the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

$4x^{2} + 128= 4x^{2} + 34 x + 60$

Subtracting $4x^{2}$ from both sides

$128 = 34 x + 60$

Subtracting 60 from both sides

$128 - 60 = 34 x + 60 - 60$

$68 = 34 x$

Dividing 34 in both sides

$\frac{68}{34} = \frac{34 x }{34}$

$x = 2$

Means width = 2 feet

Length would be = 4 time width = 4 * 2 = 8 feet

Means dimension of original deck would be = 2 feet and 8 feet :Answer

Hope it will help :)

8 0

4 years ago

Convert 65:36 in to a smaller number

VMariaS [17]

65:36 cannot be simplified. It would turn into a decimal number and we don’t put decimals in ratios

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3 years ago

To find the area of a triangle, you can use the expression b times h divided by 2, where b is the base of the triangle and h is

vladimir1956 [14]

Answer:

16 sq. units

Step-by-step explanation:

<u>The formula for the area of a triangle:</u>

A = 1/2bh

<u>If base and height are known as:</u>

b = 8 units and h = 4 units

<u>Then the area is:</u>

A = 1/2*8*4 = 16 sq. units

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3 years ago

Reflection across y=x

alexdok [17]

C= (-2,3) B=(-3,0) D=(-3,4) would be the reflection across the axis

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3 years ago

Which is twenty thousand eight hundred twelve written with base-ten numerals

vagabundo [1.1K]

Answer:

The answer is 20812

The numeral system we use is a base ten numeral system. Base ten numeral numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

The number has:

2 "tens thousands" = 2 * 10000 = 20000

0 "thousands" = 0

8 "hundreds " = 8 * 100 = 800

1 "tens" = 1 * 10 = 10

2 "ones" = 2 * 1 = 2

Sum all the results => 20000+800+10+2 = 20812

That is how you write a number using base ten numerals (numbers from 0 to 9)

6 0

4 years ago