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professor190 [17]
3 years ago
9

5x +6y = -6

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

(-6,4)

Step-by-step explanation:

If this is the system of equations here is how:

solve for 1 vairuble in the first equation, and plug that it to the other.

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Use the FOIL Method to find (x−4)(x+8).
Oksi-84 [34.3K]

Answer:

x^2 +4x - 32

Step-by-step explanation:

By FOIL method, (x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.

8 0
3 years ago
Find the slope of the line passing through the points (-6,6) and (4,-7)
Alla [95]

Answer:

m = -13/10

Step-by-step explanation:

Madison, imagine that you're moving from (-6, 6) to (4, -7) with interest in knowing how much x (the run) and y (the rise) change.

In the first instance, x increases by 10 from -6 and +4.  Simultaneously, y decreases by 13 from 6 to -7.

Thus the slope is m = rise / run = m = -13/10

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3 years ago
Given: ABCD is a parallelogram.<br> Prove: AB = CD and BC = DA<br><br> answers are in image.
True [87]

Answer:

ASA theorem (angle side angle)

Step-by-step explanation:

ac is congruent to ac bc of reflexive property.

and bc you found the other two angles using alternate interior angle theorem, it's safe to use angle side angle. if two angles and a side is congruent between the two triangles, then the two sides are congruent.

3 0
3 years ago
Read 2 more answers
Hank is planting flowers in a box in his garden. The top of the planter will be open
SIZIF [17.4K]

Answer:

2x3 Top Planter - 6

2x6 Side of Planter - 12

Full Sqaure Feet - 72

Side Note:

Correct me if I am wrong.

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6 0
3 years ago
A research firm conducted a survey of 49 randomly selected Americans to determine the mean amount spent on coffee during a week.
Andre45 [30]

Answer:

(21.4, 18.6)

Step-by-step explanation:

Given that:

Mean (μ) = $20 per week

Standard deviation (σ) = $5

number of sample (n) = 49

Confidence level = 95% = 0.95

α = 1 - 0.95 = 0.05

\frac{\alpha }{2}=\frac{0.05}{2} = 0.025\\  z_{\frac{\alpha }{2} }=z_{0.025}= 1.96  from the probability table.

The margin of error (e) = z_{\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } = 1.96*\frac{5}{\sqrt{49} } =1.4

Confidence interval = μ ± e = (μ + e, μ - e) = (20 + 1.4, 20 - 1.4) = (21.4, 18.6)

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3 years ago
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