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3 years ago

Find the slope -2/3, 2/3,3/2,-3/2

Mathematics

1 answer:

Nonamiya [84]3 years ago

5 0

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

You count up 3 units. Then you count to the left 2 units. It is negative because the line is slanted to the left.

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a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b

nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

Both values of x are

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

Part 2) The dimensions of the cuboid are

$4\ cm$ , $(-5+\sqrt{266})\ cm$ and $(5+\sqrt{266})\ cm$

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

$V=LWH$

substitute the given values

$V=4(x+1)(x+11)$

$V=924\ cm^{3}$

$4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0$

Complete the square

$x^{2}+12x-230=0$

$x^{2}+12x=230$

$x^{2}+12x+36=230+36$

$(x+6)^{2}=266$

square root both sides

$x+6=(+/-)\sqrt{266}$

$x=-6(+/-)\sqrt{266}$

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

therefore

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

step 2

Find the dimensions of the cuboid

The dimensions are

$4\ cm$

$(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm$

$(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm$

4 0

3 years ago

Read 2 more answers

What is the value of the rational expression x^2-2x-3/4x^2-12 when x = 3?

kotykmax [81]

Answer:

Step-by-step explanation:

Given

$\frac{x^2-2x-3}{4x^2-12}$

Substitute x = 3 into the expression

= $\frac{3^2-2(3)-3}{4(3)^2-12}$

= $\frac{9-6-3}{36-12}$

= $\frac{0}{24}$ = 0 → b

6 0

4 years ago

What's the sum of 5 feet 9 inches in 12 ft and 3 in

galben [10]

First convert everything into inches.

1 foot = 12 in
5 feet = 5*12 = 60 in
12 feet = 12*12 = 144 in

Now add them together

60 + 9 + 144 + 3 = 216 in

or

18 feet

Hope this helps :)

4 0

3 years ago

What is the volume in cubic inches?

Fittoniya [83]

Answer

A) 2160 cubic inches

Step by step explanation

Volume of a rectangular prism = length *width*height.

The give figure (stairway) consists of two rectangular prism.

The volume of the first rectangular prism (bigger one) = 12 *10*12

=120*12

1 st prism = 1440 cubic inches

The volume of the rectangular prism 2 (smaller one) = 12*10*6

=120*6

The volume of the rectangular prism 2 = 720 cubic inches

The volume of the concrete stairway = Volume of the prism 1 + Volume of the prism 2

= 1440 + 720

The volume of the concrete stairway = 2160 cubic inches.

Thank you.

4 0

4 years ago

If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent

9966 [12]

In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it

5 0

3 years ago