Answer:
(14,-1)
Step-by-step explanation:
okay so first you need to use the "x=4y+10" in the first equation.
Rewrite as
3(4y+10) +11y=7
Distribute the 3(4y+10)
Rewrite as
12y+30
You'll have the equation
12y +30 +11y= 7
Subtract the 7 from both sides
12y+30+11y-7= 0
Combine like terms
23y+23=0
the best thing to do here is divide the equation by 23.
23/23 = 1
you'll have
y + 1 = 0
this simplifies to
y= -1
use this y value to solve for x
the easiest way to do this is start with the equation
x = 4y +10
Substitute the y for -1
x = -4(-1) +10
x = 4 +10
x = 14
the solution point is
(14,-1)
<h2>9.</h2><h3>Given</h3>
<h3>Find</h3>
- linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>
The equation for volume of a sphere is
... V = (4/3)π·r³
Differentiating gives
... dV = 4π·r²·dr
Filling in the given numbers gives
... change in volume ≈ 4π·(15 cm)²·(0.4 cm)
... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick
<h2>11.</h2><h3>Given</h3>
- an x by x by 2x cuboid with surface area 129.6 cm²
- rate of change of x is 0.01 cm/s
<h3>Find</h3>
<h3>Solution</h3>
The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².
The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is
... dV/dt = (d/dt)(2x³) = 6x²·dx/dt
We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...
... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
9 2/3 total ounces is a total split up among 6 fruits.
So we need to divide 9 2/3 among the 6 fruits.
= 9 2/3 divide 6
= change 9 2 / 3 in improper fraction
= 9*3 + 2/3
= 29/3 divided by 6/1
= 29/3 x 1/6
= 29/18, change that to mixed fractions.
The answer is 1 11/18 ounces of each fruit.
1km x
------------- = ------------
1.12 mins 60 mins
1.12 x = 60
1.12x/ 1.12 = 60/ 1.12
x = (approximately) 53.57 km
Answer:
The reflexive property of congruence allow us to say that RST = RST .
Option (C) is correct .
Step-by-step explanation:
Definition of Reflexive Property of congurence
The meaning of Congruence is figure has the same size and shape. If you were comparing something to itself, then it definitely have the same size and shape this is called Reflexive Property of congurence .
By using Reflexive property of congurence .
RST = RST
Therefore reflexive property of congruence allow us to say that RST = RST .
Option (C) is correct .
