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4 years ago

Fourteen less than three fourths of a number is negative 8. Find the number

Mathematics

1 answer:

zlopas [31]4 years ago

5 0

3x/4-14=-8
3x/4=6
3x=24
x=8

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Find the remainder when x^3-2x-2 is divided by (x-2)

posledela

Answer:

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4 0

4 years ago

Find the perimeter AND area of the parallelogram ABCD. Show all work

nexus9112 [7]

Since, this is parallelogram

so, opposite sides are equal

We will find value of sides

Calculation of AB:

we are given point A=(-2,3)

point B=(4,0)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AB=\sqrt{(4+2)^2+(3-0)^2}$

$AB=3\sqrt{5}$

Since, this is parallelogram

so, opposite sides are equal

so,

$CD=AB=3\sqrt{5}$

Calculation of AD:

point A =(-2,3)

point D=(-5,2)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AD=\sqrt{(-5+2)^2+(2-3)^2}$

$AD=\sqrt{10}$

Since, this is parallelogram

so, opposite sides are equal

so,

$BC=AD=\sqrt{10}$

Calculation of AE:

point A=(-2,3)

point E=(-3,1)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AE=\sqrt{(-3+2)^2+(1-3)^2}$

$AE=\sqrt{5}$

(a)

we know that

perimeter of a parallelogram is sum of all sides

so,

perimeter is

$=AB+BC+CD+DA$

now, we can plug values

$=3\sqrt{5}+\sqrt{10}+3\sqrt{5}+\sqrt{10}$

$=6\sqrt{5}+2\sqrt{10}$ ...........Answer

(b)

we can use area of parallelogram formula

$A=AE\times CD$

we can plug values

$A=\sqrt{5}\times 3\sqrt{5}$

$A=15$ ............Answer

4 0

3 years ago

PLSSS GET THIS RIGHT

Anuta_ua [19.1K]

6 más 8 son 14 es muy fácil suerte

8 0

3 years ago

Please can someone help me with this question to describe the transformation

Jet001 [13]

It would be a reflection in the x-axis - you can imagine flipping triangle B over the line y = 0 (or the x-axis) and it would be in the position of triangle C

3 0

4 years ago

. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way

Radda [10]

Answer:

1.5m

Step-by-step explanation:

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

(12+2x)(16+2x) = 285

24x + 32x + 192 + 4x^2 = 285

4x^2 + 56x + 192 = 285

4x^2 + 56x + 192 - 285 =0

4x^2 + 56x -93 = 0

4x^2 + 62x - 6x - 93 = 0

2x( 2x + 31) - 3(2x + 31) = 0

(2x - 3)(2x + 31) = 0

This means x = 3/2 or -31/2

Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters

4 0

3 years ago