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Mama L [17]
3 years ago
15

What is the product of −212 and −312 ? Enter your answer as a mixed number, in simplified form, in the box.

Mathematics
1 answer:
Natalija [7]3 years ago
5 0

(-2 1/2)×(-3 1/2) = (2 1/2)×(3 1/2) . . . . deal with the signs up front. The product of two negatives is a positive.

... = 2×(3 1/2) + (1/2)×(3 1/2) . . . . . use the distributive property

... = 2×3 + 2×(1/2) + (1/2)×3 + (1/2)×(1/2) . . . . and again

... = 6 + 1 + 3/2 + 1/4

... = 7 + (1 1/2) + 1/4

... = 8 + 2/4 + 1/4

... = 8 3/4

_____

On your calculator, -2.5 × -3.5 = 8.75.

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Help!! WILL GIVE BRAINLIEST!!! What is the range of possible sizes for side x? Please explain about the rule as well.....
yaroslaw [1]

Answer:

0.2 < x < 11.8

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side, for it to form a triangle. So, we can set up 3 equations, x + 5.8 > 6, 5.8 + 6 > x, and x + 6 > 5.8. This solves out to x > 0.2, x < 11.8, and x > -0.2. We can disregard that last one, because a side can't be negative. Therefore, we know the possible range of values for x.

I hope I could be of help! Please give brainliest!

8 0
3 years ago
3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

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

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

4 0
3 years ago
Read 2 more answers
X to the power of 6 when x=10
Serjik [45]
The answer is 1000000
4 0
3 years ago
PLEASE HELP ALSO WILL GET THE BRAINIEST ANSWER!!!! ALSO SHOW YOUR WORK!!!!
MAVERICK [17]
I=PRT
I=Interest
P=principal
R=rate in decimal
T=time in years

1year=12months
72months/12months=6 years
t=6

given
I=8925
P=35000
R=r
T=6


8925=35000*r*6
8925=210000*r
divide both sides by 210000
0.0425=r

the interest rate is 4.25%
6 0
2 years ago
Read 2 more answers
Find the total surface area of the pyramid
quester [9]
To find the surface area of a pyramid, we need to find the area of all the faces and add them up. 

4 * 6 = 24
24 / 2 = 12

There are four sides (not including the base) in this pyramid, so we should multiply this by 4. 

12 * 4 = 48

Now, we find the area of the base.

6 * 6 = 36

We add up all of the numbers:

48 + 36 = 84

84 in^2 is the answer. 

Hope this helps!
3 0
3 years ago
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