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3 years ago

Four less than 5 times a number is equal to 6 more than 3 times a number

2 answers:

6 0

$Hey \\ there!$

$5s - 4 = 3s + 6 \\ 5s - 3s = 4 + 6 \\ 5s - 3s = 2s \\ 4 + 6 = 10 \\ 2s = 10 \\ \frac{2s}{2} = \frac{10}{2} \\ \frac{2s}{2} = 1 (Cancel) \\ \frac{10}{2} = 5 (Keep) \\ Answer: s = 4$

$Good \\ luck \\ on \\ your \\ assignment \\ and \\ enjoy \\ day \\ \\ \\ \\ LoveYourselfFirst:)$

stira [4]3 years ago

3 0

You have to formulate an equation for this problem.

Let x = the number asked in the problem

5x – 4 = 3x + 6

Solve the equation.

5x – 3x = 6 + 4

2x = 10

X = 5

Therefore, the number is 5.

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For the given image and scale factor, which ordered pair is one of the pre-image vertices if the center of the pre-image is also

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An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

finlep [7]

Answer:

The area of the copper circle is 31.4 inches.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

$Perimeter=4\times side$

$40=4\times side$

Dividing both sides by 4 we get:

$10=side.$

$Side=10\ inches.$

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = $\frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.$

Now, putting the formula to get the area of the circle:

$Area=2\times \pi \times r$

$Area=2\times 3.14\times 5$

$Area=31.4\ inches.$

Therefore, the area of the copper circle is 31.4 inches.

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3 years ago

Identify the coefficient(s) of the variable in the expression below.

tankabanditka [31]

Answer:

Step-by-step explanation:

25 and 6

Coefficient is the number in front of the unknown variable

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3 years ago

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Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park.

Setler [38]

The answer is A)(13, 8).

Distance I to F is: yf - yi = -1 - (-4) = -1 + 4 = 3
Distance D to A is: ya - yd = 8 - 2 = 6

Distance D to A : Distance I to F = 6 : 3
6 : 3 = 2, so scale factor is 2.

Among all choices, we see that the y point of another corner is 8, so we need to find x point.

Distance I to H is: xh - xi = -2 - (-7) = -2 + 7 = 5
Distance A to x corner is: x - xa = x - 3

Since Distance I to H is 5, and scale factor is 2, we have:
Distance A to x corner : Distance I to H = 2
Distance A to x corner = 2 * Distance I to H = 2 * 5 = 10

Distance A to x corner is: xa - x = x - 3 = 10
x - 3 = 10
x = 10 + 3
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3 years ago

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Q9: Determine e, k, and identify the type of conic for r= 12/7-cos theta .

lapo4ka [179]

Answer:

eccentricity; e = 1/7

k = 12

Conic section; Ellipse

Step-by-step explanation:

The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/7;

$r=\frac{\frac{12}{7} }{1-\frac{1}{7}cos theta}$

The polar equation of the conic section is now in standard form;

The eccentricity is given by the coefficient of cos theta in which case this would be the value 1/7. Therefore, the eccentricity of this conic section is 1/7.

The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.

The value in the numerator gives the value of k; k = 12

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3 years ago

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