Answer:
20 m²
Step-by-step explanation:
<u>Formula (Area of triangle):</u>
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From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.
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Simplify the right-hand-side as needed to evaluate the area.
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Therefore, the area of the provided triangle is 20 m².
Learn more about this topic: brainly.com/question/15442893
Answer:
4.5 hours
Step-by-step explanation:
distance equals rate times time, a relationship that can be solved for time:
time = distance / rate
Here the time is (135 miles) / (30 mph) = 4.5 hours
The bus requires 4.5 hours to get to the museum.
The curve has been attached and the answer choices are:
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1
The solution to a given word problem by writing it as an equation is k = 253/232
<h3>Expressing word problems in mathematical forms:</h3>
The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.
From the given information, to express the word problem in mathematical form, we have:
Making k the subject of the equation, we have:
k = 253/232
Learn more about expressing word problems here:
brainly.com/question/10556265
#SPJ1
5k3-3k+7-(-2k3+k2-9)
basically rewrite with simple algebra principles
15k-3k+7-(-6k+2k-9)
split up the parenthesis
15k-3k+7+6k-2k+9
sort them
15k-3k+6k-3k+7+9
short down by adding up the similar factors
answer: 18k+18
factorise
18(k+1)
both forms are right
