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2 years ago

Add. Write your answer in simplest form.

Mathematics

2 answers:

alexandr1967 [171]2 years ago

8 0

Answer:

yes, you got it correct

Step-by-step explanation:

Anna11 [10]2 years ago

4 0

Answer:

give the person above me brainlyest they are always correct

Step-by-step explanation:

You might be interested in

3/10 divided by -3/7

Sav [38]

Answer:

- 7/10

Step-by-step explanation:

There you go hope alls well.

5 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20-%203%20%2B%205i%20%20%5Cdiv%20%20-%203%20-%204i" id="TexFormula1" title=" - 3 + 5i \div

Likurg_2 [28]

Answer:

$\frac{-11}{25}+\frac{-27}{25}i$ given you are asked to simplify

$\frac{-3+5i}{-3-4i}$

Step-by-step explanation:

You have to multiply the numerator and denominator by the denominator's conjugate.

The conjugate of a+bi is a-bi.

When you multiply conjugates, you just have to multiply first and last.

(a+bi)(a-bi)

a^2-abi+abi-b^2i^2

a^2+0 -b^2(-1)

a^2+-b^2(-1)

a^2+b^2

See no need to use the whole foil method; the middle terms cancel.

So we are multiplying top and bottom of your fraction by (-3+4i):

$\frac{-3+5i}{-3-4i} \cdot \frac{-3+4i}{-3+4i}=\frac{(-3+5i)(-3-4i)}{(-3-4i)(-3+4i)}$

So you will have to use the complete foil method for the numerator. Let's do that:

(-3+5i)(-3+4i)

First: (-3)(-3)=9

Outer:: (-3)(4i)=-12i

Inner: (5i)(-3)=-15i

Last: (5i)(4i)=20i^2=20(-1)=-20

--------------------------------------------Combine like terms:

9-20-12i-15i

Simplify:

-11-27i

Now the bottom (-3-4i)(-3+4i):

F(OI)L (we are skipping OI)

First:-3(-3)=9

Last: -4i(4i)=-16i^2=-16(-1)=16

---------------------------------------------Combine like terms:

9+16=25

So our answer is $\frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i$

6 0

3 years ago

Okay Adam has 16.45 kg of flour and he use a 6.4 kg to make his Hot Cross Buns the remaining flour is exactly enough to make 15

Karolina [17]

16.45 - 6.4 = 10.05kg of flour to make 15 batches of scones
1 batch = 10.05/15
= 0.67kg of flour.

6 0

2 years ago

Read 2 more answers

Find the surface area of the right prism. Round to the nearest whole number.

andriy [413]

Answer:

$\large\boxed{S.A.=96\ cm^2}$

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A=\dfrac{7+5}{2}\cdot4=24\ cm^2$

Calculate the areas of the rectangles:

$A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2$

The Surface Area:

$S.A.=(2)(24)+21+12+15=96\ cm^2$

5 0

3 years ago

What is the area of the figure?

morpeh [17]

Answer:

80 square feet

Step-by-step explanation:

You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.

Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.

Adding the area of the rectangle and the triangle: 32 + 48 = 80

Not sure why that's not an answer choice, I'm fairly confident it's right.

8 0

2 years ago