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MaRussiya [10]
3 years ago
8

What is the slope of the line described by the equation 6X + 4y= 8

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

\large\boxed{\text{The slope}\ m=-\dfrac{3}{2}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the equation of a line in the standard form:

6x+4y=8

Convert to the slope-intercept form:

6x+4y=8          <em>subtract 6x from both sides</em>

4y=-6x+8           <em>divide both sides by 4</em>

y=-\dfrac{6}{4}x+\dfrac{8}{4}

y=-\dfrac{3}{2}x+2

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Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the n
gregori [183]

Answer: 22 square feet

Step-by-step explanation:

Using Heon's formula, the are can be found with:

= \sqrt{s(s - a)(s - b)(s - c)}

Where s is half the perimeter

a, b and c are sides

Perimeter = a + b +c

24 = 9 + 10 + c

c = 24 - 9 - 10

c = 5 feet

s = 24 / 2 = 12

Area

= \sqrt{s(s - a)(s - b)(s - c)}\\\\= \sqrt{12(12 - 9)(12 - 10)(12 - 5)}\\\\=  \sqrt{12 * 3 * 2 * 7}\\\\\\= \sqrt{504} \\\\

= 22 ft²

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3 years ago
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AfilCa [17]

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5 0
3 years ago
The length of a rectangle is 6 inches less than twice its width, and the perimeter is 72. What
abruzzese [7]

Answer:

Length=22 inches and width=14 inches

Step-by-step explanation:

According to the 1st condition

Perimeter=72

or, 2(l+b)=72

or, l+b=36..................equation(i)

According to second condition

l=2b-6.........................equation(ii)

Substituting the value of l form equation (i) to equation(ii)

2b-6+b=36

b=14

l=2*14-6

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3 years ago
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In the expression n + 23, what is 23?
denpristay [2]

Answer: 23 is a number.

Step-by-step explanation:

An algebraic expression is made up of terms consisting of variables (for example, n), a number (for example, 23) or a constant multiplied by variable or variables (for example, ax2 + bx + c).

4 0
4 years ago
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What is the slope of the line in the graph?​
devlian [24]

Answer:

The slope is 1

Step-by-step explanation:

It's a remarkable slope, since it forms an angle of 45 degrees.  Another remarkable slope would be an horizontal line, with a slope of 0.

Here's how to calculate it.

A slope if the variation of the y values (rise) divided by the variation of the x values (run).

So, let's take 2 points from the line: (1,1) and (-1,-1).

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The variation of  x values is: 1 - -1 = 2

So, the slope is 2/2, or 1.

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3 years ago
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