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Andrei [34K]
3 years ago
13

Y (y-4) – (y-2) (y-3)=10

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

y =16

I have solved it . It's in the picture above. Hope it helps

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The product of 3 and a number is the same as 10 less than twice the number
kicyunya [14]

Hello!

First, create a variable representing the number. In this case, let's just say n = the number.

Now, solve this by side. You can tell which is on which side of the equation by the words "is the same as". Anything before that is on one side, and anything after is on the other.

Left side: "The product of 3 and a number"

Here, we get our first side. The product means when two numbers are multiplied together. Thus, the product of 3 and a number would be 3 and a number multiplied together, or 3n.

Right side: "10 less than twice the number"

Finally, our last side. What we want to do first is "twice the number". This is because this happens first, even though the words are ordered differently. Twice the number means the number doubled, or *2. Therefore, multiply 2 and n together, to get 2n.

Next, add the "10 less" part. To do this, subtract 10 from 2n. We then get 2n - 10.

Finally, put the equation together. Take 3n and 2n-10, and create an equation. We get 3n = 2n-10.

Therefore, we have our final answer, or 3n = 2n - 10.

Hope this helps!

8 0
3 years ago
Write an equation of the line that passes through (-4,1) and is perpendicular to the
trasher [3.6K]

Answer:

line1:y=2x+3

Gradient1=2

Let line2 be the line passes through (-4,1)and perpendicular to line1.

Because line2 and line1 are perpendicular, (gradient of line2) (gradient of line1) =-1

Gradient of line2=-1/2

Equation of line2:y-y1 =m(x-x1)

:y-1 =(-1/2)[x-(-4)]

:(y-1)(-2)=(x+4)

:-2y+2 =x+4

:-2y+2-x-4=0

:-x-2y-2 =0

:x+2y+2 =0

*notes:gradient=m

3 0
3 years ago
Which name does not apply to the figure? A. quadrilateral B. square C. parallelogram D. rhombus
aivan3 [116]
The answer is B. 
-Corey

8 0
3 years ago
Read 2 more answers
81.3 x 47.5 = i am lost............
Drupady [299]

Answer:

3861.75

Step-by-step explanation:

i hope its the good answer

5 0
3 years ago
Consider the vitamin capsule below.
shusha [124]

Answer:

We have a cylinder and two semispheres.

The volume of a cylinder is equal to:

Vc =h*pi*r^2

where h is the height, r is the radius, and pi = 3.14

We know that the diameter is d = 8.4 mm, and the radius is half of that:

r = 8.4mm/2 = 4.2mm

Then the volume of the cylinder is:

Vc = 15.2mm*3.14*(4.2mm)^2 = 841.9 mm^3

The volume of a sphere is:

Vs = (3/4)*pi*r^3

The radius of the sphere is the same as the radius of the cylinder, and for a semisphere, we have half of the volume written above,

Vss = (3/8)*3.14*(4.2mm)^2 = 87.2mm^3

and we have two of those, so the total volume is:

Vt = 841.9 mm^3 + 2*87.2mm^3 = 1016.3 mm^3

The surface area of the figure is equal to the curved surface of the cylinder plus the surface of the two semispheres.

The curved surface of the cylinder is:

Sc = 2*pi*r*h = 2*3.14*4.2mm*15.2mm  = 400.9 mm^2

The surface of a sphere is:

Ss = 4*pi*r^2

and for each semisphere, we can find the surface by dividing the previous equation by two, but we have two semispheres, so we can jump a step and think the two semispheres as only one sphere.

Ss = 4*3.14*(4.2mm)^2 = 221.6mm^2

The total surface is St = 221.6mm^2 + 400.9 mm^2 = 622.5 mm^2

7 0
3 years ago
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