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dalvyx [7]
3 years ago
5

21008 rounded to the nearest ten thousands

Mathematics
1 answer:
o-na [289]3 years ago
6 0
The nearest ten thousand is 20,000
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1. What is the slope and y-intercept of y=-3x - 2?
Nadya [2.5K]

Answer: The equation is y=mx+b where m is the slope and b is the intercept, so for your problem slope is 3 and the intercept is -2

Step-by-step explanation:

6 0
3 years ago
How do I determine z ∈ C:
saw5 [17]

Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}

\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}

So, the equation is simplified to

-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5

Let's combine the fractions on the right side:

\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22

\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}

Then

-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}

reduces to

-(17+11i) z = 5-4i

Multiply both sides by -1/(17 + 11i) :

\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}

z = -\dfrac{5-4i}{17+11i}

Finally, simplify the right side:

-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}

-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}

-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}

-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}

-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}

So, the solution to the equation is

z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}

4 0
3 years ago
For what value of x does mz1 = 90° ?<br> 100°<br> x + 10)
sp2606 [1]

Answer:

You can solve this with common sense, but I'll do it for you and read my explanation before you demand an answer.

Step-by-step explanation:

When you look at a right angle, one forms 90°

A square has 4 sides, each should measure 90°.

That is how we know that point C measures 90°.

Now let's solve for x.

100+(x+10)+90°=90°

Solve the equation:

100+x+10+90=90

Step 1 : Solve for both sides.

100+x+10+90=90

(x)+(100+10+90)=90 ADD LIKE TERMS!

x+200=90

Step 2: Subtract 200 from both sides so you can make them equal.

x+200−200=90−200

x=−110

So, we get that <em>x=-110</em>. So <em>the blank side</em> should measure <em>90 degrees</em>.

3 0
4 years ago
Trevor has two fraction models, each divided into equal-sized sections. The
erma4kov [3.2K]

Answer:

I will answer in a general way because the options are not given.

We know that the area of model A is smaller than the area of model B.

For model A, we have 72 shaded sections, out of 100.

Then the quotient of model A is:

72/100 = 0.72

For model B we have 10 sections, and x shaded ones.

Because model B is greater than model A, we know that:

x/10 should be larger than 72/100

then we have the inequality:

x/10 > 0.72

x > 0.72*10

x > 7.2

And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:

10 ≥ x > 7.2

Then x can be any whole number in that interval.

the possible values of x are:

x = 8

x = 9

x = 10

5 0
3 years ago
12 - 8 x 9 +16<br> Order of operation
olga nikolaevna [1]
Answer:

12-72+16
12-88
-76
7 0
4 years ago
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