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vitfil [10]
3 years ago
11

write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (3,7)

Mathematics
1 answer:
mario62 [17]3 years ago
8 0
Slope intercept form is y=mx+b

y= m or 2 because that is your slope but now all you need to is find your begin or find the point (3,7) on the graph.                
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Use the formula S equals 2 left-parenthesis l w right-parenthesis plus 2 left-parenthesis l h right-parenthesis plus 2 left-pare
frosja888 [35]

Answer: 52 square cm

Step-by-step explanation:

The given surface area formula of a rectangular prism,

S = 2 wl + 2 lh + 2 hw

Where  is the length, w is the width and h is the height of the prism,

Here, length, l = 2 cm,

Width, w = 3 cm

And, Height, h = 4 cm

Thus,The required surface area of the prism,

S = 2 × 3 × 2 + 2 × 2 × 4 + 2 × 4 × 3

S = 12 + 16 + 24 = 52 square cm.

6 0
3 years ago
A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What
Elan Coil [88]

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

5 0
1 year ago
Theorems are understood as true and do not need to be proved.<br><br> True<br><br> False
patriot [66]

The answer is FALSE. Theorem, as applied in mathematics, is a statement that has been proved having a basis of laborious mathematical reasoning. The statement that is assumed to be true without proof is called axiom or postulate. Theorems are proved using axioms.  

8 0
3 years ago
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

8 0
3 years ago
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