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2 years ago

What is the solution? Please show your work. 12x-7y=59 8x+11y=-39

Mathematics

1 answer:

abruzzese [7]2 years ago

4 0

7 /12 y+ 59/ 12

Step-by-step explanation:

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Pleas help me find the answer and show the work to this question

lions [1.4K]

Answer:

$Leg\ 1 = 8$

$Leg\ 2 = 15$

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

$Hyp^2 = Adj^2 + Opp^2$

In this case:

$17^2 = x^2 + (2x- 1)^2$

Open Bracket

$17^2 = x^2 + 4x^2- 2x-2x + 1$

$17^2 = 5x^2 - 4x + 1$

$289= 5x^2 - 4x + 1$

Collect Like Terms

$5x^2 - 4x + 1 - 289 = 0$

$5x^2 - 4x - 288 = 0$

Solving using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

So:

$x = 8$ or $x = -7.2$

Since, x can't be negative, then:

$x = 8$

One of the leg is:

$Leg\ 1 = x$

$Leg\ 1 = 8$

$Leg\ 2 = 2x - 1$

$Leg\ 2 = 2*8 - 1$

$Leg\ 2 = 16 - 1$

$Leg\ 2 = 15$

6 0

2 years ago

Find x pretty please

mario62 [17]

Answer:

100⁰

because this is a quadrilateral inscribed in the circle

=> x + 80 = 180

<=> x = 180 - 80 = 100⁰

3 0

2 years ago

Try box be 1) Solve for m: 2m + 21 = 3 Help please…

Viktor [21]

first step is to subtract 21 from both sides

2m+21-21=3-21

2m=-18

2m/2 and -18/2

m=-9

So the final answer is m=-9 (negative nine equals m)

7 0

2 years ago

Find the slope of the line that passes through (40,3000) and (60, 4000).

iragen [17]

Answer:

$m=50$

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (40, 3000)

Point (60, 4000)

Step 2: Find slope m

Substitute: $m=\frac{4000-3000}{60-40}$
Subtract: $m=\frac{1000}{20}$
Divide: $m=50$

3 0

2 years ago

39.76 divided by 2.8

denpristay [2]

Answer:

14.2

Step-by-step explanation:

6 0

2 years ago