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3 years ago

All you need is in the photo

Mathematics

2 answers:

wariber [46]3 years ago

4 0

Answer:

slope is -1, y intercept is 5

Step-by-step explanation:

slope formula is y1-y2 over x1-x2

plug in formula

u get the slope is -1

Snezhnost [94]3 years ago

4 0

Answers:

Slope = 4

Y intercept = 5

======================================================

Explanation:

Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.

Therefore the slope = rise/run = 4/1 = 4.

You could also use the slope formula m = (y2-y1)/(x2-x1)

---------------

The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.

The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.

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schepotkina [342]

Answer:

76.8

Step-by-step explanation:

Using the proportion

$\frac{120}{100}$ → Percent is out of 100

$\frac{120}{100}$ = $\frac{n}{64}$ ( cross- multiply )

100n = 7680 ( divide both sides by 100 )

n = 76.8

5 0

3 years ago

A rectangle is drawn so that the width is 4 feet shorter than the length. The area of the rectangle is 45 square feet. Find the

amm1812

Answer:

9 ft

Step-by-step explanation:

Since you're familiar with your multiplication tables, you know that ...

45 = 5×9

These factors differ by 4, so correspond to the width and length of the rectangle.

The length of the rectangle is 9 feet.

_____

Seeing this solution, you might wonder, "how do I do this in the case where I don't know the factors of the number?" If the problem has an integer solution, that solution will be a factor of the number, so going to the trouble to determine the number's factors is part of the solution process.

If the solution is not an integer, then you will need to write and solve the appropriate quadratic equation. Here the problem asks for length. We can make that x, so the width is (x-4) and the area is ...

x(x -4) = 45

Expanding this and completing the square (one of several methods of solving quadratic equations), you get ...

x² -4x = 45

x² -4x +4 = 49 . . . . . . add the square of half the x-coefficient

(x -2)² = 49 . . . . . . . . . show as a square

x -2 = ±7 . . . . . . . . . . . take the square root

x = 2±7 . . . . . only x=9 is useful in this problem

The length of the rectangle is 9 feet.

5 0

3 years ago

The difference of five times a number and 4 is 9. Find the number.

Nadusha1986 [10]

Answer:

2.6

Step-by-step explanation:

Make this an equation. 5x-4=9. Add 4 to both sides. 5x=13. Divide both sides by 5. x=2.6. So the number is 2.6.

5 0

3 years ago

the observation of an underground data in their ascending order are 12,15,X,19,28. if the median of the data is 18 find the valu

Annette [7]

Answer:

The value of x = 18

Step-by-step explanation:

Given the data set

$12,15,x,19,28$

Given that the median of the data is 18.

We know that the median is the middle number in a data set when the data points are in ascending order.

As the given data is already in ascending order.

Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.

As 'x' is the middle number, thus it represents the median value.

Therefore, the value of x = 18

3 0

3 years ago

2x - y = 10 y = -x - 1 Solve the system of equations

alekssr [168]

X= 9 and y= 8 ----------------------------------------------------------

8 0

4 years ago

All you need is in the photo ​

All you need is in the photo