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Greeley [361]
3 years ago
13

A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?

Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

Step-by-step explanation:

They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.

Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.

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What is the discriminant of 32x-4= 4x^2 + 60
hodyreva [135]

Step One

Begin by getting one side of the question equal to zero.

32x -4 = 4x^2 + 60 Add - 32x + 4 from both sides.

0 = 4x^2 + 60 - 32x + 4 Collect like terms.

0 = 4x^2 - 32x + 64

Step Two

For this question, you could divide both sides by 4. It just makes the steps later on easier.

0 = x^2 - 8x + 16

Step Three

Calculate the discriminate.

The discriminate is b^2 - 4*a*c

a = 1; b = -8; c = 16

b^2 - 4*a*c = (-8)^2 - 4*(1)(16) = 64 - 64 = 0

There is only 1 root. It is real and it is rational.

A <<<<< Answer



4 0
3 years ago
Help please important
Lemur [1.5K]
1) tan 41°= 30cm divide by y cm
y= 30 divide by tan-1 41°
3 0
3 years ago
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Can someone please help me???<br><br> a is 3/4<br> b is -8<br> c is -2<br> d is 3
Pavel [41]

Answer:

-b[a + (c-d)^2]

-(-8)[3/4 + (-2 -3)^2]

8 [3/4 + (-5)^2]

8 [3/4 + 25]

8 [25.75]

206

5 0
3 years ago
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-34 + 91 = -3 (4x + 1) + 6x
ra1l [238]

-34 + 91 = -3(4x+1) + 6x\\57 = -12x - 3 + 6x\\6x = -60\\x= -10\\

Thus x = -10.

Hope that helps!

3 0
2 years ago
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A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. how soon did the second train overta
Finger [1]
<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles

2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles


Equation:
distance = distance 
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!
</span>
8 0
3 years ago
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