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4 years ago

What is the discriminante of 9x^2 + 2 = 10?

Mathematics

1 answer:

stepladder [879]4 years ago

3 0

Answer:

Step-by-step explanation:

Use the formula for the discriminant.

$b^2-4ac$

$(-10)^2-4(9)(2)$

$100-72$

$28$

You might be interested in

Express the ratio as a fraction in simplest form 18 oz to 3 cups

valentinak56 [21]

Answer:

6/1

Step-by-step explanation:

Both 18 and 3 can be divided by 3

18 divided by 3 = 6

3 divided by 3 = 1

So the ratio is 6 : 1

So the fraction is 6/1

3 0

3 years ago

Read 2 more answers

Ignore the stuff around it ,could someone explain me this?

Ierofanga [76]

Answer:

The lines blue and green are perpendicular

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the blue line

we have the points

(-1,-3) and (0,3)

substitute

$m=\frac{3+3}{0+1}$

$m=\frac{6}{1}=6$

step 2

Find the slope of the red line

we have the points

(3,-3) and (4,2)

substitute

$m=\frac{2+3}{4-3}$

$m=\frac{5}{1}=5$

step 3

Find the slope of the green line

we have the points

(-4,-1) and (2,-2)

substitute

$m=\frac{-2+1}{2+4}$

$m=-\frac{1}{6}$

step 4

Compare the slopes

Blue line ----> $m=6$

Red line ----. $m=5$

Green line ---> $m=-\frac{1}{6}$

The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)

therefore

The lines blue and green are perpendicular

7 0

4 years ago

A flower bed has the shape of a rectangle 5 yards long and 4 yards wide. What is its area in square feet?

aalyn [17]

To find the area, use A= bh (base x height), or A = lw (length x width)

There are 3 feet in 1 yard

3 x 5 = 15
4 x 3 = 12

15 x 12 = 180

The flower bed is 180 ft²

hope this helps

3 0

3 years ago

A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of

Sholpan [36]

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

5 0

4 years ago

Please help me solve 8x+2y=32 and 10x-5y=-20

Tju [1.3M]

Answer:

(2,8)

x = 2

y = 8

Step-by-step explanation:

<u>The steps are shown in the picture</u>

7 0

3 years ago