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tankabanditka [31]
3 years ago
14

2x + 5y = −13 3x − 4y = −8

Mathematics
1 answer:
vivado [14]3 years ago
8 0
15x-20y=-40
8x+20y=-52
____________
23x=-92
x=-4
-8+5y=-13
5y=-5
y=-1
(-4,-1)
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The length of a rectangle is 4 more than its width. The area of the rectangle is 21m2 . What is the measure of the width?
nadezda [96]
The width is 3m because 3*7 is 21m^2. Also they said the length is 4 more than the width (3+4=7)
7 0
3 years ago
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil
mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast = \frac{\sqrt{(2^2 + x^2)}}{4}

The  time is taken to reach Q after reaching the coast = \frac{\sqrt{(1 + (3-x)^2)}}{4}

Total time, T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+  \frac{\sqrt{(1 + (3-x)^2)}}{4}

This has to be minimum,

\to \frac{dt}{dx} = 0

\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16  \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\

x=0.45385

6 0
3 years ago
How do you find line e?
jolli1 [7]

Answer:

The answer to your question is the slope of line e is \frac{4}{5}

Step-by-step explanation:

If two lines are parallel they have the same slope.

If two lines are perpendicular their slopes are reciprocals and of different signs.

In this question, line d is parallel to line e, which means that they have the same slope.

3 0
3 years ago
Which fractions are the same value as 16 divided by-3
iragen [17]

Answer:

Not sure if this was meant to be a multi choice question, but I'll try help anyway.

As long as you times the denominator and the numerator by the same number, many fractions can be of the same value as 16/-3.

For example, a potential answer to this could be 32/-6.

If we simplify this, we still get  16/-3.

They're different fractions, but of the same value.

Hope this helps!!

7 0
2 years ago
Explain how you know wether an estimate of a product is an overstimate or an underestimate
White raven [17]
Estimation is the process of making quick mental calculation of a value, quantity, or number. 

We basically do estimation every day of our lives.
For example, we want to order several pizzas. We know that each pizza costs between $5 to $10. We order 3 pizza pies; Pie 1 = $6; Pie 2 = $8; Pie 3 = $9.

In getting an estimate, we either overestimate or underestimate. We know that whether a product of an estimate is overestimated or underestimated by the direction of the rounded up numbers.

We overestimate, when we round up the numbers
We underestimate, when we round down the numbers.

Overestimate: $10 x 3 pizza = $30 total cost
Underestimate: $5 x 3 pizza = $15 total cost

Actual cost: $6 + $8 + $9 = $23

In estimating expenses, it is better to overestimate. This gives us an allowance when incidental expenses incur.

In estimating income, it is better to underestimate. It gives us a more realistic value of the income.
5 0
4 years ago
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