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2 years ago

8

What is the slope of the line described by the equation –4x + 6y = 12?

1 answer:

tino4ka555 [31]2 years ago

6 0

The slope of the equation is 4

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If ab= 7x-6 and bc= 12-2x. Then what does ac equal?

ra1l [238]

Ab = (7x-6) → b = (7x-6)/a (1)

bc = (12-2x) → b = (12-2x)/c (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)

Multiply both numerators of (3) by the SQUARE of their respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72

4 0

3 years ago

4x2 + 8x - 7 - (3x2 - X+9)

Andreas93 [3]

Answer:

<h2> ${x}^{2} + 9x - 16$ </h2>

Step-by-step explanation:

$4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)$

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

$4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9$

Collect like terms

$4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9$

${x}^{2} + 9x - 7 - 9$

Calculate

${x}^{2} + 9x - 16$

Hope this helps...

Good luck on your assignment...

5 0

2 years ago

Read 2 more answers

function represented by the table? What is the rate of change for the 1 2 -2 0 -1 -8 у 12 -3 2 7 A. 5 B. 1 C. i nin D. -5

PSYCHO15rus [73]

Answer:A:0

Step-by-step explanation:hope this helps :)

5 0

2 years ago

Suppose an angle α is drawn in standard position. In each case, use the information to determine what quadrant α is in.

cupoosta [38]

Since <span> sin(α) > 0 and cos(α) > 0
so </span><span>α is IN THE FIRST QUADRANT (I)</span>

4 0

2 years ago

Consider an angle with a measure of θ=225∘.

wel

Answer:

cos 225° = $-\frac{\sqrt{2} }{2}$

sin 225° = $-\frac{\sqrt{2} }{2}$

tan 225° = 1

Step-by-step explanation:

I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45° (225 - 180 = 45)

cos and sin are negative in the 3rd quadrant and the tan is positive

cos 225° = - cos 45° = $-\frac{\sqrt{2} }{2}$

sin 225° = -sin 45° = $-\frac{\sqrt{2} }{2}$

tan 225° = tan 45° = 1

8 0

2 years ago