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VashaNatasha [74]
3 years ago
6

What is the correct description of the product of the expression?

Mathematics
1 answer:
Tems11 [23]3 years ago
3 0
1)  (C):  The product is equal to one of the factors.

Note:  "2  3/4"  * "3/3"  = "2  3/4" ; (since "3/3" = "1");  so,  2  3/4 * 1 = "2  3/4" .

The factors are:  "2  3/4"  and  "3/3".  The product is:  "2  3/4" .
______________________________________________________
2)  (A):  The product is less than each factor.

Note:  "3/4" * "4/5" =  "(3*4) / (4*5)" = 12/20 = (12÷4) / (20÷4) = 3/5 .

The factors are:  "3/4" and "4/5"; or, "0.75" and "0.8" , respectively.
The product is:  "3/5" ; or, "0.6" .
______________________________________________________
3)  (B):  The product is greater than each factor.

Note:  "2  3/4" * "5"  = "13  3/4 ".
The factors are: "2  3/4"  and  "5" .
The product is:  "13  3/4".
_______________________________________________________
4)  (C):  The product is equal to one of the factors.

Note:  "6/7"  * "5/5"  = "6/7" ; (since "5/5" = "1");  so,  6/7 * 1 = "6/7" .

The factors are:  "6/7"  and  "3/3".  The product is:  "6/7" .
_______________________________________________________

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For what value(s) of k will the relation not be a function
skelet666 [1.2K]

We are given two relations

(a)

Relation (R)

R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

k-8.3+2.4k=-\frac{3}{4} k

3.4k-8.3=-\frac{3}{4}k

3.4k\cdot \:10-8.3\cdot \:10=-\frac{3}{4}k\cdot \:10

4k-83=-\frac{15}{2}k

34k=-\frac{15}{2}k+83

\frac{83}{2}k=83

83k=166

k=2............Answer

(b)

S = {(2−|k+1| , 4), (−6, 7)}

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

2-|k+1|=-6

2-\left|k+1\right|-2=-6-2

-\left|k+1\right|=-8

\left|k+1\right|=8

Since, this is absolute function

so, we can break it into two parts

|f\left(k\right)|=a\quad \Rightarrow \:f\left(k\right)=-a\quad \mathrm{or}\quad \:f\left(k\right)=a

k+1=-8\quad \quad \mathrm{or}\quad \:\quad \:k+1=8

we get

k+1=-8\quad

k=-9

k+1=8\quad

k=7

so,

k=-9\quad \mathrm{or}\quad \:k=7...............Answer

5 0
3 years ago
645 divided by 43 I need help please
ankoles [38]

Answer:

15

Step-by-step explanation:

plug it into a calculator and u get 15 its very simple

7 0
3 years ago
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Find the midpoint of the line segment that has endpoints at (10,8) (-3,-10)
dem82 [27]

Hey there! :)

Answer:

(3.5, -1).

Step-by-step explanation:

Use the midpoint formula to solve this problem:

(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Plug in the coordinates given:

(\frac{10-3}{2}, \frac{8-10}{2})

Simplify:

(\frac{7}{2}, \frac{-2}{2})

Therefore, the coordinates of the mid-point are:

(3.5, -1).

7 0
3 years ago
Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for pi :))) thank you !!
Leni [432]

Answer:

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Step-by-step explanation:

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3 years ago
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A triangle has sides with lengths of 8 millimeters, 15 millimeters, and 17 millimeters. Is it a right triangle?
olga nikolaevna [1]

Answer:

yes.

Step-by-step explanation:

to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².

to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.

we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.

calculation:

a² + b² = c²

a = 8 millimetres

b = 15 millilitres

c = ?

8² + 15² = c²

64 + 225 = c²

64 + 225 = 289.

289 = c²

√289 = c

√289 = 17.

the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.

6 0
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