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yaroslaw [1]
3 years ago
9

Use the working backward method to find the solution of the equation.

Mathematics
2 answers:
shusha [124]3 years ago
4 0
Y=2 explanation because -1 on both sides divide both sides by 7
Dahasolnce [82]3 years ago
3 0

Answer:

y=2

Step-by-step explanation:

7y-1=13

+1 +1

7y=14

/7 /7

y=2

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explain how to find the area of a composite figure. (you do not need to know what shapes, just explain what you do to solve for
OlgaM077 [116]

Answer: A composite figure is made up of simple geometric shapes. To find the area of a composite figure or other irregular-shaped figure, divide it into simple, non overlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

7 0
3 years ago
Rewrite each expression by completing the square q^2+12q+32
julia-pushkina [17]

The given expression can be written as q^{2} +12q+32 = (q+8)(q+4).

Step-by-step explanation:

Given,

q^{2} +12q+32

To make it a complete square.

Formula

(a+b)² = a^{2} +2ab+b^{2}

a^{2} -b^{2} = (a+b)(a-b)

Now,

q^{2} +12q+32

= q^{2} +2.q.6+6^{2} -6^{2} +32

= (q+6)²-36+32

= (q+6)²-4

= (q+6)²-2²

= (q+6+2)(q+6-2)

= (q+8)(q+4)

7 0
3 years ago
The ratio of a number and 18 is equal to the difference of a number squared and 5
boyakko [2]

Answer:

The number is 2.26

Step-by-step explanation:

Let The given numbers be x

Now according to question :

x : 18 = x² - 5

I.e x = 18 × (  x² - 5 )

or, x = 18 ×  x²  - 90

or, 18 x²  - x - 90 = 0

Or, From quadratic equation , the value of x

 x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

Or, x = \frac{+\pm \sqrt{-1^{2}-4\times 18\times -90}}{2\times 18}

Or, x = \frac{1\pm \sqrt{6481}}{36}

So, x = \frac{1\pm 80.50}{36}

∴  x  = \frac{81.50}{36} = 2.26

Hence The number is 2.26  Answer

8 0
3 years ago
If a giant armadillo gets 127 hours of sleep per week and a platypus gets 98 hours of sleep per week, in one year how many more
solniwko [45]

Answer: 1508 hours of sleep

Step-by-step explanation:

the arm gets 29 more hours of sleep than the plat per week

52 x 29 is 1508

8 0
4 years ago
The center of a circle is the point (3, 2). if the point (6, −2) lies on this circle, find the standard equation for the circle.
garri49 [273]
Given 
centre of circle O(3,2)=O(x0,y0)
point on circle P(6,-2)

Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2

r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)

=> 
r^2=(sqrt(25))^2=25

Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25   ............... standard equation of circle
5 0
4 years ago
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