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andriy [413]
3 years ago
9

Can someone please graph 5x-7y=10

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0
First solve it
5x-7y = 10 - 5x
-5x
-7y = 10-5x
so divide everywhere by -7 so get the fraction you will get the y-intercept and slope
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A scale drawing of a square object has a scale of 1 in. : 8 mm. The scale drawing has a length of 6 inches. Find the perimeter a
Ann [662]

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

3 0
3 years ago
You rent 2 DVDs and 1 video game for $12. The following week, your friend rents 4 DVDs and two video games for $24. Which of the
oksian1 [2.3K]

There are inifinite solutions because they are the same equation

2D + 1G = 12

and

4D + 2G = 24 (divide by 2) 2D + G = 12

2D + 1G = 12 is the same as 2D + 1G = 12


5 0
3 years ago
A certain forest covers an area of
Nookie1986 [14]
Happy to help :)
after 1 yr- 3905.25 km2
2 yrs- approx. 3719.75 km2
3 yrs- approx. 3543.06 km2
4 yrs- approx. 3374.77 km2
5 yrs- approx. 3214.47 km2

The full decimal for the 5 yr mark is 3214.46557 km2 (not sure if you needed it)

To solve you would convert 4.75% into .0475 as a decimal, then subtract that from 1 (which acts as 100%) and you get .9525, then just multiply that by 4100 and each number that results from that ;)
7 0
3 years ago
Someone please help me with this math problem?
marishachu [46]

Answer:

The length of the shortest side of the triangle is 10 units.

Step-by-step explanation:

Let <em>a</em> be the shortest side of the isosceles triangle and <em>b</em> be the two congruent sides.

The congruent sides <em>b</em> are each one unit longer than the shortest side. Hence:

b=a+1

The perimeter of the isosceles triangle is given by:

\displaystyle P_{\Delta}=b+b+a=2b+a

This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be <em>s</em>. Hence:

s=a-2

The perimeter of the square is:

\displaystyle P_{\text{square}}=4s=4(a-2)

Since the two perimeters are equivalent:

2b+a=4(a-2)

Substitute for <em>b: </em>

<em />2(a+1)+a=4(a-2)<em />

Solve for <em>a</em>. Distribute:

2a+2+a=4a-8

Simplify:

3a+2=4a-8

Hence:

a=10

The length of the shortest side of the triangle is 10 units.

4 0
3 years ago
Find the coordinates of the midpoint of the segment with the given endpoint S(-1,5) and T(7, -2)
qaws [65]

Answer:

The answer is

<h2>(3  \: , \:  \frac{3}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} ) \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-1,5) and T(7, -2)

The midpoint is

M = ( \frac{ - 1 + 7}{2}  \:  ,  \:  \frac{ - 2 + 5}{2} ) \\  = ( \frac{6}{2}  \: , \:  \frac{3}{2} )

We have the final answer as

(3  \: , \:  \frac{3}{2} ) \\

Hope this helps you

4 0
3 years ago
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