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timama [110]
3 years ago
11

Is (-5,-3) a solution of the following equations ? 6x-2y=24 , -10x-2y=-56

Mathematics
1 answer:
natulia [17]3 years ago
3 0
6x-2y=24
6(-5)-2(-3)=24
-30+6=24
-24=24
Yes
-10x-2y=-56
-10(-5)-2(-3)=-56
50+6=-56
56=-56
Yes
The answer is= Yes. The solution is (-5.-3)
By the way, you have to show the work.
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Write an equation in point slope form for the line with a slope of 3 passes through (1,2)
alexgriva [62]

Answer:

y-2=3(x-1)

Step-by-step explanation:

The point-slope form of a line is given as:

y-y_1=m(x-x_1)

Where

m is the slope

x_1 is the x-coordinate of the point given (passing through the line)

y_1 is the y-coordinate of the point given (passing through the line)

Now,

Given,

Slope = m = 3

x_1 = 1

y_1 = 2

Now, we simply plug these into the formula for point-slope form of a line:

y-y_1=m(x-x_1)\\y-2=3(x-1)

This is the point-slope form.

4 0
3 years ago
Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrationa
KonstantinChe [14]
16/3(5.33) is irrational and 5.3 is rational.
6 0
3 years ago
Read 2 more answers
Which is the rate of change for the interval between 2 and 6 on the x-axis?
nadezda [96]

Answer:

3

Step-by-step explanation:

I think you misses attaching the photo, so please have a look at my photo for your better understanding.

We know the formula for rate of change of the  parabola line:

\frac{f(b)- f(a)}{b-a}

Given here:

a= 2 => f(a) = 2

b=6 => f(b) = 2

Substitute all the values into the function, we have:

\frac{14-2}{6-2} = 3

So the rate of change is 3

7 0
3 years ago
Read 2 more answers
Use the decimals 2.47, 9.57 and 7.1 to write two different addition facts and two different subtraction facts
netineya [11]
2.47 + 7.1
7.1 + 2.47

9.57-7.1
9.57-2.47
6 0
3 years ago
Please explain how you got your answer!!! The dot plots below show the ages of students belonging to two groups of salsa classes
Rudik [331]

Answer:

Group b most likely has a lower mean age of salsa students

Step-by-step explanation:

Arithmetic Mean of the data is the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

Here we are given with two groups that are Group A and Group B

both having total number of students = 20

Here the mean age of the data is addition of the all ages of different students divided by total number of students.

For group a

total age of the group = 3 × 5 + 4 × 10 + 6 × 17 + 4 × 24 + 3 × 29

= 15 + 40 + 102 + 96 + 87

=340

The mean age of salsa students= 340 ÷ 20 = 17

For group b

total age of the group = 6 × 7 + 3 × 10 + 4 × 14 + 5 × 16 + 2 × 21

= 42 + 30 + 56 + 80 + 42

=250

The mean age of salsa students= 250 ÷ 20 = 12.5

So the group b most likely has a lower mean age of salsa students

Learn more about Arithmetic Mean here - brainly.com/question/24688366

#SPJ10

7 0
2 years ago
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