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Ainat [17]
3 years ago
10

the product of 4 numbers,a,b,c,and d, is a negative number the table shows one combination of positive and negative signs of the

four numbers that could produce a negative product.complete the table to show seven other possible combinations.
Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0
<span>When you multiply numbers, two negative signs cancel each other out. Therefore if four of the numbers are negative the product is positive. If either one or three numbers are negative, the product is negative.
   
1.a negative, b positive, c positive, d positive
   
2.a positive, b negative, c positive, d positive
   
3.a positive, b positive, c negative, d positive
   
4.a positive, b positive, c positive, d negative
   
5.a positive, b negative, c negative, d negative
   
6.a negative, b positive, c negative, d negative
   
7.a negative, b negative, c positive, d negative
   
8.a negative, b negative, c negative, d positive</span>
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Answer both question for 20 points and brainliest
Dmitrij [34]

Answer:

1 - c

2 - A

Step-by-step explanation:

Hey There!

So for the first one we are given the dimensions of a rectangular prism and they want us to find the volume

Remember to find the volume we use the equation

V = length x width x height

so we just plug in the values

v = 2.6 x 2.1 x 3.9 = 21.294

the closest is 20 so C is your answer

For the second one we are given a triangular prism

and they want us to find the volume

V=\frac{1}{2} bhl

b = base (10.3)

l = length (4)

h = height (7)

7x4=28

28x10.3=288.4

then we divide by 2

288.4/2=144.2

so your selected answer is correct

4 0
3 years ago
Find an explicit formula for the following sequence, an which starts with a1=2/3. 2/3,3/4,4/5,5/6,…
Flura [38]

Answer:

Step-by-step explanation:

a1=2/3

sequence is 2/3,3/4,4/5,...

for numerator a1=2

d=3-2=1

numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1

denominator = 1 more than numerator=n+1+1=n+2

so an=(n+1)/(n+2)

or for denominator a1=3,d=4-3=1

denominator of nth term=3+(n-1)×1=3+n-1=n+2

an=(n+1)/(n+2)

6 0
3 years ago
Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1
Free_Kalibri [48]

Answer:

the second option is the correct one

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m = \frac{-1-5}{-4-7} = \frac{-6}{-11} = \frac{6}{11}

Use either of the 2 points as (a, b)

using (- 4, - 1), then

y- (- 1) = \frac{6}{11}(x - (- 4)), that is

y + 1 = \frac{6}{11}(x + 4)

6 0
3 years ago
A sector of a circle has central angle θ=5π/6 and area 15π ft2. Find the radius of this circle.
Natali [406]
5pi/6 r^2 = 15pi

R^2 = 18

R= 3sqrt(3)
6 0
3 years ago
Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).  

2x^{4} +x^{2}-10x-1 = P(x)   divided by   (x+2)

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e.  (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

2(-2)^{4}+(-2)^{2}-10(-2)-1

= 2(16) + 4 +20 -1

= 32 +4 + 20 - 1

= 55 = Remainder

Hence, Remainder is 55.

8 0
3 years ago
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