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igomit [66]
3 years ago
11

In a triangle, the middle length side is 3 more than the shortest side, and the longest side is double the middle length side. T

he perimeter of the triangle is 45 cm.
Mathematics
1 answer:
Tamiku [17]3 years ago
8 0
Let's call the short side "s"
short side = "s"
middle side = 3s
longest side = 2*3*s
perimeter = 45 cm
perimeter = s + 3s + 6s = 45
short side = 4.5
middle = 13.5
long side = 27

4.5 + 13.5 + 27 = 45

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solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
What is the growth or slope of the simplified equation? NEED ANSWER ASAP
Zielflug [23.3K]

Answer:

Slope is 5.

Step-by-step explanation:

y + 3x = 8x -7

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coefficient in front of x is the slope/rate of change once you get the equation slope intercept for y = mx + b.  m is the slope.

6 0
3 years ago
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 1 or a 9 is 2/9 . What is the probability
shtirl [24]
The probability of NOT getting a 1 or a 9 means you have to subtract those two numbers and how many of each are out. Once you do that, count the remaining numbers, put them as the numerator, and then put the overall total of numbers as the denominator. Your answer is 7/9.
5 0
3 years ago
The area of parallelogram WXYZ is approximately 45 square units.
neonofarm [45]

Answer:

Option (4)

Step-by-step explanation:

Area of a triangle = \frac{1}{2} (a.b.\text{Sin}\theta)

Where a and b are the sides of a triangle and θ is the angle between the sides a and b.

By this rule,

Area of ΔWZY = \frac{1}{2}(\text{WZ}).(\text{YZ}).\text{Sin}(115)

45 = \frac{1}{2}(\text{YZ}).(10).\text{Sin}(115)

9 = (YZ).Sin(115)°

YZ = \frac{9}{\text{Sin}(115)}

YZ = 9.93

Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ

                                                         = 9.93 + 10 + 9.93 + 10

                                                         = 39.86

                                                         ≈ 40 units

Therefore, perimeter of the parallelogram is 40 units.

Option (4) is the answer.

4 0
3 years ago
4 more than the quotient 12 and a number x
snow_tiger [21]

More than means to add.

Quotient means to divide.

4 + (12/x)

6 0
3 years ago
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