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2 years ago

What is the value of the expression below when z=3?

Mathematics

1 answer:

sashaice [31]2 years ago

5 0

Answer:

Step-by-step explanation:

10z^2 - 2z - 2 =

10(3)^2 - 2(3) - 2 =

10(9) - 2(3) - 2 =

90 - 6 - 2 = 82

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How can you use the side lengths of a triangle to determine if it is an acute triangle?

Tanya [424]

If the sides are close together, its acute.

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3 years ago

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Debora [2.8K]

Answer: the answer is option c

Step-by-step explanation:

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3 years ago

A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?

Bezzdna [24]

Answer:

this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)

=> $AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}$

using Heron theorem, we have:

$S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\$

with S is the area of the triangle

$p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}$

Step-by-step explanation:

5 0

3 years ago

Graph DEF and its image when you translate DEF using vector

adelina 88 [10]

Answer:

The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

Given the vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0). We have to translate the triangle using the vector (6, 0)

Now, translation by vector (6, 0)

D (2, 5)=D'(2+6, 5+0)=D'(8, 5)

E (6, 3)=E'(6+6, 3+0)=E'(12, 3)

F (4, 0)=F'(4+6, 0+0)=F'(10,0)

Now, we have to label the coordinate of the triangle or to get image of triangle after translation.

Hence, The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

4 0

3 years ago

IrinaK [193]

Answer: y = 1/5(x-1) -2

Point slope form looks like this:
y = m(x-x1) + y1

m = 1/5
x1 = 1
y1 = -2

Plug all of this into the formula and you should have your equation in point slope form.

6 0

2 years ago