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4 years ago

Which complex number lies below the real axis and to the right of the imaginary axis:

Mathematics

1 answer:

frosja888 [35]4 years ago

6 0

3-i.........................................

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PLEASE HELP!!! Find MG. ∆EGF~∆EML.

stiv31 [10]

Answer:

$MG=56\ units$

Step-by-step explanation:

step 1

Find the value of x

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem we have that

∆EGF~∆EML

$\frac{EG}{EM}=\frac{EF}{EL}$

substitute the given values

$\frac{5x+2}{16}=\frac{126}{28}$

solve for x

$5x+2=\frac{126}{28}(16)$

$5x+2=72\\5x=70\\x=14$

$EG=5x+2=5(14)+2=72\ units$

step 2

Find MG

we know that

$MG=EG-EM$

substitute

$MG=72-16=56\ units$

3 0

3 years ago

Each face of a pyramid is an isosceles triangle with a 82° vertex angle. What are the measures of the base angles? PLZ help

Gnesinka [82]

Base=(180°-vertex)/2=(180-82)/2=98/2=49°

base angles are 49°

3 0

4 years ago

Henry counted units to find the distance between two points. For which pair of points could he have done this ? Select all that

Flura [38]

Options:

(–3, 5) and (–2, 5) (–3, 5) and (–9, 3)

(5, 3) and (9, 3) (5, –9) and (3, –5)

(2, 3) and (7, 3)

Answer:

(–3, 5) and (–2, 5)

(5, 3) and (9, 3)

(2, 3) and (7, 3)

Step-by-step explanation:

To do this, have to compare the both x and both y coordinates of the points.

If the x coordinates are equal or the y coordinates are equal, then that option is true

For (a): (-3,5) and (-2,5)

The y coordinates are the same:

i.e.

$y_1 = y_2 = 5$

This option is true

For (b): (-3, 5) and (-9, 3)

None of the coordinates are the same;

i.e.

$x_1 \ne x_2$

$y_1 \ne y_2$

Hence, this option is false.

For (c): (5, 3) and (9, 3)

The y coordinates are the same:

i.e.

$y_1 = y_2 = 3$

This option is true

For (d): (5, -9) and (3, -5)

None of the coordinates are the same;

i.e.

$x_1 \ne x_2$

$y_1 \ne y_2$

Hence, this option is false.

(2, 3) and (7, 3)

The y coordinates are the same:

i.e.

$y_1 = y_2 = 3$

This option is true

3 0

3 years ago

98654 in extended form

vredina [299]

90,000+8,000+600+50+4

8 0

3 years ago

Read 2 more answers

X=4y+7 2x-6y=12 System of equations using substitution

Sonja [21]

Answer:

x=3, y=-1

Step-by-step explanation:

We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation

2x-6y=12

We substitute 4y+7 in place of x

2(4y+7)-6y=12

Now we only have one variable to work on, distribute the 2

8y+14-6y=12

Combine similar terms, 8y-6y=2y

2y+14=12

Subtract 14 from both sides

2y=-2

y=-1

Now we plug in -1 for y in the first equation to find x

x=4(-1)+7

x=-4+7

x=3

7 0

3 years ago