3. 140= 3x +x
140= 4x
140/4 = 4x/4
35=x
3x= 35 * 3
3x= 105
The length is 105 ft
4. Number of dimes= d and number of quarters=q
d+q= 27
10d + 25q= 405
d= 27-q
10(27 -q) +25 q= 405
270 -10q + 25q= 405
270 + 15q= 405
15q= 135
q=9
d + q= 27
d +9=27
d=18
She has 18 dimes
5. 6 gal with a 50-50 split means 3 gallons each. The 60-40 has 3 gallons of lime. If 3 gal is 60%, the volume is 5 gal. We need to add 1 gallon
Answer:
24/15
Step-by-step explanation:
both fractions have the same denominator, therefore it states the same and the numerators sum linearly
11/15 + 13/15 = 24/15
1) 8 turning points means 8 vertices, which implies minimum degree 9 (when the polynomial is x^2 the degree is 2 and it has one turning point).
2) 5 turning points means minimum degree 6, 3 zeros means minimum degree 3, the multiplication implies minimum degree 6+3 = 9
3) 5 times crossing the x - axis is 5 zeros, then the minimum degree is 5.
4) f(x)=x^14 + x^6 + x^9 + x^3,maximum number of turning points 14 -1 = 3 (remember one less than the grade is the maximum posible number of turning points, but it could be less, for example f(x) = x^2 has one turning point).
Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
Answer:
The slope of a line perpendicular to the line whose equation is 4x - 5y = 10 is -5/4.
Step-by-step explanation:
provided the equation;
4x- 5y=10.(let it be equation of line1 )
and the other line be line2
from perpendicularty principle
M1×M2= -1
BUT for M1(slope of line L1)
y= mx+c
where "c" is constant value.
"m" is slope.
therefore
5y= 4x - 10
(dividing by five throughout)
y=(4x/5) - 2
y= (4/5)x - 2
therefore M1= (4/5)
Returning back to our principle
M1×M2= -1
(4/5)M2=-1
<u>M2= -5/4</u>
