Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
In order to solve this I need to know what they are charging and how many minutes they have been on the phone.
The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1
</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)
9,15,19 is a triangle
Obtuse Scalene Triangle
Side a = 15
Side b = 9
Side c = 19
Angle ∠A = 50.617° = 50°37'1" = 0.88343 rad
Angle ∠B = 27.63° = 27°37'46" = 0.48223 rad
Angle ∠C = 101.754° = 101°45'13" = 1.77594 rad
Area = 66.0847
Perimeter p = 43
Semiperimeter s = 21.5
Height ha = 8.81129
Height hb = 14.68549
Height hc = 6.95628
Median ma = 12.8355
Median mb = 16.51514
Median mc = 7.92149
Inradius r = 3.07371
Circumradius R = 9.70346
Vertex coordinates: A[0, 0] B[19, 0] C[5.71053, 6.95628]
Centroid: [8.23684, 2.31876]
Inscribed Circle Center: [6.5, 3.07371]
Circumscribed Circle Center: [9.5, 1.97663]
14,16,4 is a triangle
Obtuse Scalene Triangle
Side a = 16
Side b = 14
Side c = 4
Angle ∠A = 113.132° = 113°7'57" = 1.97453 rad
Angle ∠B = 53.576° = 53°34'35" = 0.93509 rad
Angle ∠C = 13.291° = 13°17'28" = 0.23197 rad
Area = 25.74879
Perimeter p = 34
Semiperimeter s = 17
Height ha = 3.2186
Height hb = 3.6784
Height hc = 12.87439
Median ma = 6.48074
Median mb = 9.32738
Median mc = 14.89966
Inradius r = 1.51463
Circumradius R = 8.69944
Vertex coordinates: A[0, 0] B[4, 0] C[-5.5, 12.87439]
Centroid: [0.5, 4.29146]
Inscribed Circle Center: [1, 1.51463]
Circumscribed Circle Center: [2, 8.46642]
6,22,6 is not a triangle
The sum of two sides must be larger than the third
9.1,2.5,12.3 is not a triangle
The sum of two sides must be larger than the third
9514 1404 393
Answer:
- white chocolate chip: $17
- gingerbread: $19
Step-by-step explanation:
We can let x and y represent the costs of packages of white chocolate chip and gingerbread cookie dough, respectively. Then the two sales can be represented by ...
11x +2y = 225
8x +10y = 326
__
There are several ways a system of equations like this can be solved. One of my favorites is to use a graphing calculator (see attached).
We can also use substitution. We see that the coefficients of y are simply related, so we can use ...
2y = 225 -11x . . . . from equation 1
8x +5(2y) = 326 . . . rearrange equation 2
8x +5(225 -11x) = 326 . . . . substitute for 2y
-47x +1125 = 326 . . . . simplify
799 = 47x . . . . . . . add 47x-326
17 = x . . . . . . . . . . . divide by 47
2y = 225 -11(17) = 38
y = 19 . . . . . . divide by 2
The package costs are ...
white chocolate chip dough: $17
gingerbread dough: $19.