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GrogVix [38]
3 years ago
12

(− 6 11 ​ )+m=− 9 2 ​

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer:

m=−4

Step-by-step explanation:

Subtract 1 from 2.6m−11=m+1 Move all terms containing m to the left side of the equation.Tap for more steps...−3m−11=1 Move all terms not containing m to the right side of the equation.Tap for more steps...−3m=12 Divide each term by −3 and simplify.Tap for more steps...m=−4

hope this helps :)

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A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and
9966 [12]

Step-by-step explanation:

The area of a rectangle is 171 m²

Let l is the length and b is the width of the rectangle

It width is 10 m less than the length. So,

b = l-10 ...(1)

Area of a rectangle is given by :

A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0

or

l = 9 m or l = 19 m

If l = 9 m,

b = 9-10 = -1 m (can't be possible)

If l = 19 m

b = 19-10 = 9 m

So, the length an the breadth of the rectangle is 19 m and 9 m respectively.

8 0
3 years ago
Which is the volume formula for a rectangular prism with a base of 26 square feet and a height of 10 feet
AleksAgata [21]

Answer:

Step-by-step explanation:

Given the length, width and height find the volume, surface area and diagonal of a rectangular prism

h, l and w are known; find V, S and d

V = lwh

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism

S, l and w are known; find h, V and d

h = (S - 2lw) / (2l + 2w)

V = lwh

d = √(l2 + w2 + h2)

3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism

V, l and w are known; find h, S and d

h = V / lw

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism

d, l and w are known; find h, V and S

h = √(d2 - l2 - w2)

V = lwh

S = 2(lw + lh + wh)

4 0
3 years ago
Read 2 more answers
Evaluate the expression:<br> 2 (m + 1) – n3 when m = -2 and n = 3
QveST [7]

Answer:

-15

Step-by-step explanation:

2 * (-4+2) = -6

-6 - 9 = -15

8 0
3 years ago
Factor to find the zeros of the function:
enyata [817]

Step-by-step explanation:

y = 8x² + 8x - 96

y = 8(x² + x - 12)

y = 8(x + 4)(x - 3)

When y = 0, 8(x + 4)(x - 3) = 0.

=> x = -4 or x = 3. (B)

7 0
3 years ago
The table below shows the number of years since 1995 and the price of milk.
diamong [38]

Answer:

Slope = 0.06

Step-by-step explanation:

From the question, we are not asked what to calculate but we can as welll look for the slope of the relationship.

Slope in this scenario will be the rate of change in price of milk with respect to time.

Slope = ∆P/∆t

The standard equation will be expressed as P = mt+c where

m is the slope

t is time

P is the price of milk.

Comparing this with the given model

P(t)=0.06t+2.52

On comparison, we can see that;

m = 0.06

Hence the slope of the expression is 0.06

5 0
2 years ago
Read 2 more answers
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