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nataly862011 [7]
3 years ago
11

Write a system of linear equations that has (-4, 8) as the solution. Once you have made your system of equations, solve it algeb

raically to show that you do indeed get the solution (-4, 8).
Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

(-4, 8) has to be the solution.

1st equation: -4x+8y = 1

2nd equation: 8x - 4y = 1

These should work. Do the matrix-substitution combo method to see:

-4  8  1

.8 -4  -1

Reduce and and matrix-substitution combo:

1 0 -4

0 1  8

The reduced eckerd form of the matrix shows that the solutions are (-4, 8)

Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.

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The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to
AURORKA [14]

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem (a^{2}+b^{2}=c^{2} [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

13^{2} = 169

4^{2} =16

169-16=153.

\sqrt{153} ≈ 12

or

\sqrt{153}=12.36931688

or if the problem has to be exact (using radicals)

3*\sqrt{17}

I hope this helps ;)

8 0
2 years ago
A right triangle as shown below
anastassius [24]

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

6 0
3 years ago
What is the distance across the lake?<br>​
Advocard [28]

Answer:

you have to use the formula

Step-by-step explanation:

length times with time height

6 0
3 years ago
Read 2 more answers
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = \frac{1}{2}(b_1+b_2)\times h

                                         = \frac{1}{2}(\text{GE+OF)}\times (\text{OG})

                                         = \frac{1}{2}(3+6)\times 4

                                         = 18 units²

Area of trapezoid GCDE = \frac{1}{2}(\text{GC+DE)}\times (\text{GE})

                                         = \frac{1}{2}(7+2)\times 3

                                         = 13.5 units²

Area of triangle AFH = \frac{1}{2}(\text{Base})\times (\text{Height})

                                  = \frac{1}{2}(5)(2)

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

3 0
3 years ago
Help due at 4:00 I NEED HELP I HATE MATH(k12) LOOK AT PIC
vovikov84 [41]

Answer:

Step-by-step explanation:

3 0
2 years ago
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