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andrezito [222]
3 years ago
8

Math

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

Answer:

Susanne is 16

Step-by-step explanation:

Let x be Dakota's age

x + 3 = Susanne's age

4(x+3) = Bob's age

Sum of their age is:

x + x + 3 + 4(x + 3) =

Simplify:

x + x + 3 + 4x + 12

6x + 15 = 93

6x = 78

x =  13

Susanne is 3 more than x (13 +3) which is 16

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The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.
jok3333 [9.3K]

Answer:

-3/2,collinear.

Step-by-step explanation:

slope of PQ=(0-3)/(2-0)=-3/2

eq. of line PQ is

y-3=-3/2(x-0)

y-3=-3/2 x

or2y-6=-3x

or 3x+2y=6

if R(4,-3) lies on it,then

3(4)+2(-3)=6

12-6=6

or 6=6

which is true.

Hence points P,Q,R are collinear.

and line has aslope=-3/2

7 0
3 years ago
a force of 200 n is excreted horizontally on a box of mass 18 kg ti displace it through a distance of 6 mass. how much work is d
GalinKa [24]

Answer:

28

Step-by-step explanation:

8 0
3 years ago
In triangle ABC, < A = 38° and < B = < C. Find < B.
marusya05 [52]
The answer is 76 your welcome 
6 0
3 years ago
Read 2 more answers
Answer the question in the picture
Svet_ta [14]
<h3>Answer:</h3>
  • left picture (bottom expression): -cot(x)
  • right picture (top expression): tan(x)
<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)

... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)

Then you have ...

\dfrac{\cos{2x}-\cos{4x}}{\sin{2x}+\sin{4x}}=\dfrac{2\sin{3x}\sin{x}}{2\sin{3x}\cos{x}}=\dfrac{\sin{x}}{\cos{x}}=\tan{x}

and ...

\dfrac{\cos{2x}+\cos{4x}}{\sin{2x}-\sin{4x}}=\dfrac{2\cos{3x}\cos{x}}{-2\cos{3x}\sin{x}}=\dfrac{-\cos{x}}{\sin{x}}=-\cot{x}


6 0
3 years ago
What is the answer to -7=-21-×/4​
NikAS [45]

Answer:

7

Step-by-step explanation:

Put the numbers in order from least to greatest:

5, 0, |-1|, |4|, -2

3 0
3 years ago
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