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serg [7]
3 years ago
6

The equation of the line passing through the points (−10, 0) and (−8, 20) can be expressed as y = mx + b. Give the value of b.

Mathematics
2 answers:
insens350 [35]3 years ago
7 0

First find slope:

20-0/-8+10= 20/2= 10

Slope=10

next use point slope form and solve it:

y-0=10(x+10)

y=10x+100

b=100

weeeeeb [17]3 years ago
3 0

Given are the two points (-10,0) and (-8,20), and equation of the line as y=mx+b.

We can plug the given values in the equation as follows :-

0 = -10m + b .........equation(1)

20 = -8m + b .........equation(2)

Subtracting equation(1) from equation(2)

20 - 0 = (-8m + b) - (-10m + b)

20 = -8m + b + 10m - b

20 = 10m - 8m

20 = 2m

m = 10

Plugging m=10 in the equation(1)

0 = -10(10) + b

0 = -100 + b

b = 100

So final answer is b = 100.

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For this set of data,<br> 89, 88, 84, 87, 89, 84, 84, 83, 85, 89, 84<br> Find the standard deviation
Ilia_Sergeevich [38]

Answer: 2.2962419891482

Step-by-step explanation: First get the mean of the numbers or the average

the mean in this case is 86

then subtract each number by the mean of 86

the numbers then become : 3, 2, -2, 1, 3, -2, -2, -3, -1, 3, -2

then square all the numbers to get : 9, 4, 4, 1, 9, 4, -4, 9, 1, 9, 4

then find the mean of those numbers which is 5.2727272727273

then find the square root of this number to find the standard deviation

2.2962419891482 is the standard deviation

hope this helps mark me brainliest if it helped

6 0
3 years ago
Simplify the expression by combining like terms. 22+5m−4m+7n−8
rewona [7]

Answer: The simplified form by combining like terms is given by

14+m+7n

Step-by-step explanation:

Since we have given that

22+5m-4m+7n-8

Now, we combine the like terms :

1) First we collect m terms :

22+5m-4m+7n-8\\\\=22+m+7n-8\\\\

2) Combine n terms  and constant terms :

=22-8+m+7n\\\\=14+m+7n

Hence, the simplified form by combining like terms is given by

14+m+7n

6 0
3 years ago
Read 2 more answers
Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.​
Jlenok [28]

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = \sqrt{80}

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

7 0
3 years ago
Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 53 ve
kari74 [83]
21 cars, 32 motorcycles.
create a system of equations using x for cars and y for motorcycles.
\left \{ {{x+y=53} \atop {4x+2y=148}} \right.
multiply the top equation by 2 to prepare for elimination method
\left \{ {{2x+2y=106} \atop {4x+2y=148}} \right.
subtract terms
\left \{ {{2x+2y=106} \atop {-4x-2y=-148}} \right.  = (-2x = -42)
divide both sides by negative 2 to solve for x
x =21
plug in x  into original equation to solve for y.
21 + y = 53
subtract both sides by 21
y=32



8 0
3 years ago
You can eat no more than 40 slices of pizza each week. If you have
Svet_ta [14]

Answer: 5.7 slices

Step-by-step explanation:

7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.

Divide both sides by 7:

7x/7 = 40/7

x= 5.7

4 0
3 years ago
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