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Alla [95]
3 years ago
14

F(x)=x²+2x-5 determine the vertex

Mathematics
2 answers:
Sliva [168]3 years ago
5 0

Answer:

the point -5 is the vertex on the graph because it is the y-intercept.

Step-by-step explanation:

Finger [1]3 years ago
3 0

Answer:-16

dsfgdsggsgdsgsdg

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-------100 POINTS------<br> Complete the proof of the Pythagorean theorem.
KIM [24]

Step-by-step explanation:

Complete the proof of the Pythagorean theorem is given below.

         Statement                                              Reason

1. ΔABC is a right triangle, with a     1. Given

right angle at ∠C

2. Draw an altitude from point C     2. From a point not on a line, exactly                    

to AB               one perpendicular can be drawn through the point to the line

3. ∠CDB and ∠CDA are right          3. Definition of altitude

angles

4. ∠BCA  ≅ ∠BDC                            4. All right angles are congruent

5. ∠B  ≅ ∠B                                      5. Reflexive\:Property

6. ΔCBA ~ ΔDBC                             6. AA Similarity Postulate                                                                                                                                                                                                                                      

7. \frac{a}{x}\:=\:\frac{c}{a}                                           7. Polygon\:Similarity\:Postulate\:\:\:

8. a^{2}  = cx                                          8. Cross\:Multiply\:and\:Simplify

9. ∠CDA  ≅ ∠BCA                           9. All\:Right\:Angles\:are\:Congruent

10. ∠A  ≅ ∠A                                    10. Reflexive\:Property

11. ΔCBA ~ ΔDBA                             11. AA Similarity Postulate

12. \frac{b}{y}\:=\:\frac{c}{b}=                                      12. Polygon\:Similarity\:Postulate

13. b^2\:=\:cy                                       13. Cross\:Multiply\:and\:Simplify

14. a^2\:+\:b^2\:=\:cx\:+cy                    14. Addition\:Property\:of\:Equality

15. \left(CB\right)^2+\left(CA\right)^2=\left(AB\right)\left(DB+BA\right)  15. Distributive Property

16. x + y = c                                    16. Segment\:Addition\:Postulate

17. a^2\:+\:b^2\:=\:c^2                             18. Substitution\:Property

7 0
3 years ago
Read 2 more answers
The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.
Margaret [11]
Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3

Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4

Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2

So the three numbers are 2,-3, and 4.


5 0
3 years ago
A drawer contains 8 red shirts, 6 blue shirts, and 7 white shirts. If a shirt is drawn at random, what is the probability that t
zzz [600]
7 over 21 . because you add 7 plus 8 plus 6 and get 21 then have 7 white shirts 
8 0
3 years ago
Read 2 more answers
(1 point) In an experiment, a ball is drawn from an urn containing 8 orange balls and 12 yellow balls. If the ball is orange, th
klemol [59]

Answer:

a) 8

b) 12

Step-by-step explanation:

With orange: 2×2×2 = 8

With yellow: 2×2 = 4

Total = 8+4 = 12

3 0
3 years ago
Which equation best fits the graphed data?
fenix001 [56]

Answer:

hmm

Step-by-step explanation:

lettt meee thinkkkkkk

6 0
2 years ago
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