X2-2x-35=0x2-7x+5x-35=0x(x-7)+5(x-7)=0(x-7)(x+5)=0x-7=0 or x+5=0x=7 or x=-5 Check: x=7 ,LHS = 49-14-35 =0 =RHS x=-5, LHS = 25+10-35 =0=RHSAns: x=7 or x=-5
<span><span>x2</span>−x−12=0</span>
Answer:
is the correct answer.
Step-by-step explanation:
We know that vertex equation of a parabola is given as:
where 
is the vertex of the parabola and
are the coordinate of points on parabola.
As per the question statement:
The parabola opens upwards that means coefficient of 
is positive.
Let 
Minimum of parabola is at x = 3.
The vertex is at the minimum point of a parabola that opens upwards.
Putting value of a and h in the equation:
Formula used: 
Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.
Comparing 
and 
13 = 9+k
k = 4
Please refer to the graph attached.
Hence, correct option is
Answer:
Amount required = 2,217,600
Step-by-step explanation:
Dimensions of the rooms are as follows;
Room 1; 9 feet × 12 feet
Room 2; 14 ft × 16 ft
Room 3; 12 ft × 14 ft
Perimeter of rooms;
P1 = 2(9 + 12) = 42 ft
P2 = 2(14 + 16) = 60 ft
P3 = 2(12 + 14) = 52 ft
Total perimeter; P = 42 + 60 + 52 = 154 ft
Height is 90 ft.
Thus, total area is;
A = 154 × 90
A = 13860 ft²
Rate of painting is 160 per Sq.ft.
Thus amount to paint entire area = 160 × 13860 = 2217600
An
amusement park ride has a moving platform attached to four swinging arms. The
platform swings back and forth, higher and higher, until it goes over the top
and around in a circular motion. In the diagram below, AD and BC represent two of the swinging arms, and DC <span>is parallel to the ground
</span>(line l). Explain
why the moving platform AB <span>is always parallel to the ground.</span>
V=4/3 π •r^3 multiply both sides with 3
3•36π=4π • r^3
108 π=4 π • r^3
r^3 =108 π/4 π
r=3 inch
