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enyata [817]
3 years ago
7

Correct the error a student made when solving the equation 4=-2(x-3). What is the correct solution?​

Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0
In the first step when the student did -2x-3 they didn’t make the sign positive. It should be 4=-2+6, not 4=-2-6
tankabanditka [31]3 years ago
3 0

Answer:

It should be positive 6

Step-by-step explanation:

The student multiplied a negative and a negative forgetting that it would become a positive. So in this case x would equal 1

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Find the surface area of this triangular prism.
vesna_86 [32]

Answer:

96

Step-by-step explanation:

A=Area

Using the formulas

A= 2A_{b} +(a+b+c)h\\A_{b} = \sqrt{s(s-8)(s-10)(s-6)} \\s= \frac{8+10+6}{2}

Solving for A

A=ah+bh+ch+\frac{1}{2}*\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}

A=8(2)+10(2)+6(2)+\frac{1}{2}*\sqrt{-8^{4} +2*(8*10)^{2} +2*(8*6)^{2}-10^{4} +2*(10*6)^{2}-6^{4} }A=96

7 0
3 years ago
from the top of a tree the angle of depression of a rock on the ground is 49 degrees. If the tree is 18.5 m tall, how far is the
Rashid [163]

Answer:

Step-by-step explanation:

If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.

We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,

tan(49)=\frac{18.5}{x} and

x=\frac{18.5}{tan(49)} and on your calculator in degree mode, you will find that

x = 16.08 m

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4 0
3 years ago
What is the slope of the line that passes through the points (-4,-2) and (-4,-22)? Write your answer In simplest form
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4 0
3 years ago
Simplify:9-1÷2÷27^2÷3​
sammy [17]

<u>First let's calculate the exponents.</u>

27^2 : 729 = 9-1\div \:2\div \:729\div \:3

<u>Now we should multiply and divide.</u>

<u />1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}<u />

<u>Now we should add and subtract.</u>

<u />9-\frac{1}{4374} :\frac{39365}{4374} =  \frac{39365}{4374}<u />

<u>Convert the improper fractions into mixed numbers.</u>

<u />8\frac{4373}{4374}<u />

<u />

<u>Answer : </u>

<u />8\frac{4373}{4374}<u />

<u />

5 0
3 years ago
The shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1,067 more peanut butter cones than cookie dough cones and
inysia [295]

Answer:1045



Step-by-step explanation:


4 0
3 years ago
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