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kompoz [17]
3 years ago
5

A triangle has a base of 54 cm. The height is unknown. Complete the equation that can be used to find the area, A, of the triang

le given any height, h.
Enter your answer in the box.
Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

area=1/2×base×height

A=1/2×54×h=27h

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Can you please explain this?​
Leni [432]

Answer:

The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.

Step-by-step explanation:

Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. s_{1} = -s_{2}^{-1})

Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:

(3,5)-(1,1) and (0, 2)-(5, 12)

To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate.  That will give us a valid Δx and Δy to get the slope.

In the first pair, 3 > 1, so we'll subtract the second point from the first:

s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2

So the first pair of vectors describe a line with a slope of 2.  Let's look at the other pair:

s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2

That also gives us a slope of 2, meaning that the two lines are parallel.

This same process will need to be done for the other three questions.  We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image.  For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.

6 0
3 years ago
Given the function f(x)=1/2x+8 find x so that, f(x)=10<br><br> please help im stumped
Crank

Step-by-step explanation:

plug y value :

10=1/2x+8

1/2x=2

x=4

3 0
2 years ago
(3х + y= 23<br> 3х - 2y = 8
erma4kov [3.2K]

Answer:

positive and negative or d1

7 0
3 years ago
What is a name for the quadrilateral below? ​
Alexus [3.1K]

Answer:

D. 1,2,4......... . .....

8 0
2 years ago
Read 2 more answers
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Colt1911 [192]

Answer:

E

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0) and (x₂. y₂ ) = (8, 2) ← 2 points on the line

m = \frac{2-0}{8-0} = \frac{2}{8} = \frac{1}{4}

y = \frac{1}{4} x → E

3 0
3 years ago
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