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2 years ago

What is the slope of the line shown below?

Mathematics

2 answers:

Otrada [13]2 years ago

8 0

The slope of the line below shown is -4

Digiron [165]2 years ago

3 0

Answer: -4

Step-by-step explanation:

If you are given a problem like this with two points, the easiest way to find the slope is using the equation $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ with points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

In this problem, by looking at the graph, you can identify the points (0, 10) and (5, -10)

Let's label these numbers:

x1 = 0
x2 = 5
y1 = 10
y2 = -10

Now, plug these numbers into the formula above. That gives you $\frac{-10-10}{5-0}$ .

-10 - 10 = -20 and 5 - 0 = 5, which gives you a fraction of $\frac{-20}{5}$ , which can be simplified down to -4.

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Learning outcome: Solve a linear system of equations in two and three variables using algebraic methods. Read and solve word pro

Talja [164]

Answer: Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.

Step-by-step explanation:

Since we have given that

Demand function is stated as

$D(p)=200-5p$

Supply function is stated as

$S(p)=10p$

We need to find the equilibrium price and quantity for this device.

For equilibrium, D(p) = S(p).

so, it becomes,

$200-5p=10p\\\\200=10p+5p\\\\200=15p\\\\p=\dfrac{200}{15}\\\\p=\$13.33$

and when we put the value of p in any function:

$Q=10\times 13.33=133.3\ units$

Hence, Equilibrium price would be $13.33 and equilibrium quantity would be 133.3 units.

8 0

2 years ago

You buy 2.3 pounds of apples for $1.43 per pound. How much do you spend?

saveliy_v [14]

Answer:

$3.30 ($3.289)

Step-by-step explanation:

2.3 times 1.43 = 3.289 rounded to 3.30

6 0

3 years ago

1. M is the midpoint of LN and O is the midpoint of NP.

Reptile [31]

1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4.
The line would be
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5.
a. Circumcenter: the intersection of perpendicular bisector lines
b. Incenter: the intersection of bisector lines
c. Centroid: the intersection of median lines
d. Orthocenter: the intersection of altitude lines

5 0

3 years ago

The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.

My name is Ann [436]

Answer:angle c angle b angle a

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which of these numbers are divisible by both 5 and 10? .....a )943 720 b) 345 c) 57 382 d) 8880

alexgriva [62]

D, 8880 is divisible by both ten and 5.

4 0

3 years ago