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2 years ago

IMAGE BELOW I WILL MARK BRAINIEST

Mathematics

1 answer:

suter [353]2 years ago

3 0

Answer:

-3, 2

Step-by-step explanation:

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Which algebraic expression six less than half a number

densk [106]

1/2n-6?

hope it helps!

if not, sorry...

8 0

4 years ago

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

3 years ago

Susan ran 4 miles in 20 minutes. How many minutes will she take to walk 3 miles

inn [45]

Answer: 15

Step-by-step explanation:

4/20 is your ratio. Simplify it and it'd be 1/5. This means in 1 mile has been walked in 5 minutes. 3 x 5 is 15, so it took Susan 15 minutes.

6 0

3 years ago

the width of a rectangle is 6 units less than the the length. The area of a rectangle is 7 units. What is the length of the rect

diamong [38]

Answer:

Length: 7 units

Width: 1 unit

Step-by-step explanation:

8 0

4 years ago

Part 2 of 3

dlinn [17]

Considering that point S splits segment RT, we have that:

a) The value of y is of y = 4.

b) The lengths are: RS = 29, ST = 19.

<h3>How to find the value of variable y?</h3>

Point S splits segment RT into two parts, hence the length of segment RT can be given by the following equation:

RT = RS + ST

The measures are given as follows:

RS = 6y + 5.

ST = 3y + 7.

RT = 48.

Hence we can solve the equation for y, as follows:

RT = RS + ST

6y + 5 + 3y + 7 = 48.

9y = 36.

y = 4.

<h3>What are the lengths of segments RS and ST?</h3>

Considering that y = 4, we have that:

RS = 6y + 5 = 6(4) + 5 = 29.

ST = 3y + 7 = 3(4) + 7 = 19.

A similar problem, in which a point splits a segment, is given at brainly.com/question/4450896

#SPJ1

3 0

1 year ago