Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A quadratic function is given to us.
- The function is -3(x-1)(x-6)
And we need to find out the zeroes of the quadratic function and we need to express it in Standard form. T
<u>Function</u><u> </u><u>:</u><u>-</u><u> </u>
- So for finding the zeroes equate it with 0 .So that ,
<u>Therefore</u><u> the</u><u> </u><u>zeroes</u><u> </u><u>are </u><u>1</u><u> </u><u>and </u><u>-</u><u>6</u><u> </u><u>.</u>
<u>Expressing</u><u> </u><u>in </u><u>Standard</u><u> form</u><u> </u><u>:</u><u>-</u><u> </u>
The standard form of a quadratic equation is ,
And that of a quadratic function is ,
<u>Simplifying</u><u> the</u><u> </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence</u><u> the</u><u> </u><u>Standard</u><u> form</u><u> of</u><u> </u><u>the</u><u> </u><u>equation</u><u> is</u><u> </u><u>-3x²</u><u> </u><u>-</u><u> </u><u>1</u><u>5</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>8</u><u> </u><u>.</u><u> </u>
A)
To be similar triangles have to have equal angles
triangle ZDB'
1)angle Z=90 degrees
triangle B'CQ
1) angle C 90 degrees
angle A'B'Q=90
DB'Z+A'B'Q+CB'Q=180, straight angle
DB'Z+90+CB'Q=180
DB'Z+CB'Q=90
triangle ZDB'
DZB'+DB'Z=180-90=90
DB'Z+CB'Q=90
DZB'+DB'Z=90
DB'Z+CB'Q=DZB'+DB'Z
2)CB'Q=DZB' (these angles from two triangles ZDB' and B'CQ )
3)so,angles DB'Z and B'QC are going to be equal because of sum of three angles in triangles =180 degrees and 2 angles already equal.
so this triangles are similar by tree angles
b)
B'C:B'D=3:4
B'D:DZ=3:2
CQ-?
DC=AB=21
DC=B'C+B'D (3+4= 7 parts)
21/7=3
B'C=3*3=9
B'D=3*4=12
B'D:DZ=3:2
12:DZ=3:2
DZ=12*2/3=8
B'D:DZ=CQ:B'C
3:2=CQ:9
CQ=3*9/2=27/2
c)
BC=BQ+QC=B'Q+QC
BQ' can be found by pythagorean theorem
Answer:
Its B - 36 units, you mulitply the last two numbers then add the first,
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took the test
Answer:
Multiply (400 + 20 + 3) x 10000
Add 4 zeros to the end of 423
Step-by-step explanation:
423 x 10,000 = Adding the amount of zero’s in 10000 to 423