Answer:
Step-by-step explanation:
Hello!
First, calm down. Now, think. Plot those points on a coordinate graph! I don't have coordinate graph at hand right now, but if you plot them, you should get the answer. Remember, if there are diagonal lines, then use the pythagorean theorem!
Answer:
- small prism: 630 m²
- large prism: 2520 m²
Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
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In summary, the total surface area of each prism is ...
- small prism: 630 m²
- large prism: 2520 m²
The answer is: " y − 1 = - 3(x + 2) " .
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Explanations:
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<u>Note</u>: The "point-slope form" of the equation of a line is:
→ " y − y₁ = m(x −x₁) " .
We are given the slope, m" , is: " - 3 " ;
We are given a point on the line [on the graph that is represented by this equation]; with the coordinates: " (-2 , 1) " ;
→ which is in the format: " (x₁ , y₁) " ;
→ As such: " x₁ = -2 " ; " y₁ = 1 " ;
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As aforementioned, the equation of a line in "point-slope form" ; is:
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→ " y − y₁ = m(x − x₁) " ;
in which:
→ "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ; AND:
→ " m " = the slope of the line [represented by the equation] " ;
We proceed by substituting our known values for "m" ; "y₁" ; and "x₁" :
→ " y − 1 = - 3(x − (-2) ) " ;
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→ Rewrite as:
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→ " y − 1 = - 3(x + 2) " ;
→ which is our answer; since it is written in "point-slope form" .
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Slope is rise over run or Y2 - Y1 divided X2 - X1. The X's and Y's are your coordinate points. It doesn't matter which Y you put down first but remember to choose the X in the same place. Your coordinate points are (0, -1) and (-4, 2)
Your equation will be:
-1 - 2 / 0 - (-4)
-3 / 0 + 4
-3 / 4
Your slope is negative 3/4
Answer:
The answer to your question is:
Fraction he has review = 17/36
Fraction he have to study = 19/36
Step-by-step explanation:
Data
Monday studied = 2/9
Tuesday = 1/4
Fraction he has review = ?
Fraction he has left = ?
Process
As the denominator is 9, consider the whole is 9.
Then: Fraction left on Monday = 9/9 - 2/9
= 7 / 9
Fraction left on Tuesday = 7/9 - 1/4
= (28 - 9) / 36
= 19 / 36
Fraction he has review = 17/36
Fraction he have to study = 19/36
