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Viktor [21]
1 year ago
11

Which number produces a rational number when added to 0.53

Mathematics
1 answer:
NARA [144]1 year ago
6 0

Answer:

5/7 or D

Step-by-step explanation:

i just know

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Simplify the expression 4(2x - 3y) ASAP
uranmaximum [27]

Answer:

8x - 12y

Step-by-step explanation:

4(2x-3y)

Distribute/multiply the 4 to everything in the parentheses

4 * 2x = 8x      4 * -3y = -12y

8x - 12y

4 0
3 years ago
Read 2 more answers
A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.
kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

3 0
3 years ago
What is the graph of the solution
Natalka [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
.A tank contains seven liters of 10% alcohol solution. How many liters of 6% alcohol solution should be added to have 8% alcohol
zmey [24]

Answer: 7 liters of 6% alcohol solution.

Step-by-step explanation:

We have 7 liters of 10% alcohol solution, and in this the total amount of alcohol is

A = (10%/100%)*7 L = 0.1*7L = 0.7L

Now, suppose that we add N liters of 6% alcohol solution, then we have a total of:

(N + 7) Liters

And the total amount of alcohol would be:

(6%/100%)*N + 0.7L

0.06*N + 0.7L

The quotient between the total volume of alcohol and the total volume of liquid needs to be 0.08 (because we want a percentage of 8% of alcohol, and the decimal form of 8% is 0.08)

Then:

(0.06*N + 0.7L)/(N + 7L) = 0.08

We want to sove this for N

(0.06*N + 0.7L) = 0.08*(N + 7L)

0.06*N + 0.7L = 0.08*N + 0.56L

0.7L - 0.56L = 0.08*N - 0.06*N

0.14 L = 0.02*N

0.14L/0.02 = N = 7L

Then we need to add 7 liters of 6% alcohol solution.

6 0
3 years ago
Find the surface area of this composite solid.
babunello [35]
Not sure but a guess that the answer is
C. 84 m^2
8 0
3 years ago
Read 2 more answers
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