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Soloha48 [4]
3 years ago
10

What are the intercepts of -4x+6y-5z=60

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
Equation is <span>-4x+6y-5z=60
x-intercept is obtained by assuming y=0, z=0, and solving for x.
-4x+0-0=60 => x=-15, hence x-intercept is (-15,0,0)
Similarly for y-intercept, assume x=0,z=0 =>
0+6y-0=60 => y=60/6=10 => y-intercept is (0,10,0)
Again, for the z-intercept, assume x=0,y=0 =>
0+0-5z=60 => z=-12 => z-intercept is (0,0,-12)</span>
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What is the perimeter of triangle PQR? Show your work.
xxMikexx [17]

Answer:

The perimeter of triangle PQR is 17 ft

Step-by-step explanation:

Consider the triangles PQR and STU

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU  (Given)

3. QR ≅ TU = 6 ft (Given)

Therefore, the two triangles are congruent by SAS postulate.

Now, from CPCTE, PR = SU. Therefore,

3y-2=y+4\\3y-y=4+2\\2y=6\\y=\frac{6}{2}=3

Now, side PR is given by plugging in 3 for 'y'.

PR = 3(3) - 2 = 9 - 2 = 7 ft

Now, perimeter of a triangle PQR is the sum of all of its sides.

Therefore, Perimeter = PQ + QR + PR

                                   = (4 + 6 + 7) ft

                                   = 17 ft

Hence, the perimeter of triangle PQR is 17 ft.

7 0
3 years ago
Given here are a set of sample data: 12.0, 18.3, 29.6, 14.3, and 27.8. the sample standard deviation for this data is equal to _
disa [49]
The answer is 7.9306

Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size

1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
   = 102 / 5
μ = 20.4

2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76

3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
   = 251.58 / 5-1
μ = 62.895 (this is now called sample variance)

4.) Get the square root of the sample variance:
 √62.895 = 7.9306

3 0
3 years ago
Nancy and seven of her friends shared the $101.20 dinner bill equally. How much did each person pay?
Alik [6]
12.65. Divide 101.20 by 8
4 0
2 years ago
BRAINLISET BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
Vinvika [58]

Answer:

x = -15/2

Step-by-step explanation:

For this problem, we will simply use equation properties to solve for x.

2x - 5 = -20

2x - 5 + 5 = -20 + 5

2x = -15  ( Add positive 5 to both sides )

2x * (1/2) = -15 * (1/2)

x = -15/2  ( Multiply both sides by 1/2)

Hence, the solution to x is -15 / 2.

Cheers.

4 0
2 years ago
Read 2 more answers
Solve for x. <br><br> x^2−3x=10
CaHeK987 [17]

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=5,−2

Step-by-step explanation:

I can do math

4 0
3 years ago
Read 2 more answers
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