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klasskru [66]
3 years ago
5

If f(x) = -2x^2 + x–5, what is f(3)?

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

-20

Step-by-step explanation:

Replace X by 3

f(3) = -2(3)^2+ (3)-5 = -20

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For the right triangle shown, which expression represents the length of CA?
Nataly [62]

Answer:

  b. 5tan(25°)

Step-by-step explanation:

The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...

  tan(25°) = ?/5

Multiplying by 5 solves the equation:

  ? = 5·tan(25°)

6 0
3 years ago
Find the domain and range of the exponential function h(x) = 125 x
NARA [144]
Domain is all real numbers.
Range is all real numbers geater than 0
8 0
3 years ago
*In ∆ABC, on the extension of the side BC , draw a line segment CD ≅ CA . Draw the segment AD . The line segment CE is the angle
Leya [2.2K]

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Step-by-step explanation:

In ∆ABC

  • On the extension of the side BC , draw a line segment CD ≅ CA
  • Draw the segment AD
  • The line segment CE is the angle bisector of ∠ACB
  • The line segment CF is the median towards AD in ∆ ACD

We want to prove that CF ⊥ CE

Look to the attached figure

In Δ ABC

∵ CE is the bisector of angle ACB

∴ ∠ACE ≅ ∠BCE

In Δ ACD

∵ CA = CD

∴ Δ ACD is an isosceles triangle

∵ AD is the median towards AD

- In any isosceles triangle the median from a vertex to its opposite

  side bisects this vertex

∴ AD bisects ∠ACD

∴ ∠ACF ≅ ∠DCF

∵ BCD is a straight segment

∵ CE , CA , CF are drawn from point C

∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°

∵ m∠ACE ≅ m∠BCE

∵ m∠ACF ≅ m∠DCF

- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF

∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°

∴ 2 m∠ACE + 2 m∠ACF = 180°

- Divide all terms by 2

∴ m∠ACE + m∠ACF = 90°

∴ EC ⊥ CF

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Learn more:

You can learn more about perpendicular lines in brainly.com/question/11223427

#LearnwithBrainly

7 0
3 years ago
Paula and her dad went ice-fishing this winter. They caught 7 total fish, including 5 trout.
sammy [17]

Answer:

.7143

Step-by-step explanation:

there are 5 trouts so 5/7

7 0
3 years ago
Write the first 6 answers to the sequence and please explain how you got them
Debora [2.8K]

Answer:

Step-by-step explanation:

a1 = 7

a2 = 4(7) = 28

a3 = 4(28) = 112

a4 = 4(112) = 448

a5 = 4(448) = 1792

a6 = 4(1792) = 7168

4 0
3 years ago
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