MATHEMATICS HIGH SCHOOL

the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co-ordinates of A and B​

Answers

Answer 1
Answer:

Answer:

k = 3

Step-by-step explanation:

If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal

For coordinate AB;

slope m1 = 3 - 3k/k-(-1)

m1 = 3-3k/k+1

For the line 2y+3x = 9

2y = -3x + 9

y = -3/2 x + 9/2

Slope m2 = -3/2

Since m1 = m2

3-3k/k+1 = -3/2

Cross multiply

2(3-3k) = -3(k+1)

Expand

6 - 6k = -3k - 3

-6k+3k = -3 - 6

-3k = -9

k = -9/-3

k = 3

Hence the value of k is 3

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7/8,0.98,8/9 least to greatest

Answers

7/8

8/9

.98

hope this helps good luck

the table shows the height of a plant as it grows. Which equation in point slope form gives the plants height at any time?

Answers

Answer:

y - 21 = 7(x - 3)

Step-by-step explanation:

If we plot the points on a graph having time on x axis and plant height on y axis then the two points will be (3, 21) and (5, 35).

Let the equation of the line is y - y'= m(x - x')

where m = slope of the line

Now slope of the line joining these points 'm' = (y-y')/(x-x')

m = (35-21)/(5-3)

m = (14)/(2)

m = 7

Now the equation that passes through the point (3, 21) will be y - 21 = 7(x - 3)

Therefore, equation that represents the height of the plant at any time is y - 21 = 7(x - 3)
(3,21)(5,35)
slope = (35 - 21) / (5 - 3) = 14/2 = 7

possible answers are :
y - 21 = 7(x - 3)
or
y - 35 = 7(x - 5)
or
y - 49 = 7(x - 7)
or
y - 63 = 7(x - 9)

A triangle has one angel that measures 51 degrees and one angle that measures 39 degrees. what kind of triangle is it?

Answers

Those two angles are complementary - which means they both give us 90 degrees. We know that all three angles in any triangle must be exactly 180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means that our triangle is a straight triangle. The figure will look more less like in the attachment.
it would be a acute because you would do 51+39=90 which u would do 180-90 which would equal 90 and a aucte is a 90 degree angle 

Evaluate the following expression.

7^0

Answers

The value of the given expression 7⁰ is, 1

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression, 7⁰

whenever, power 0 is putted on a number except 0, its value will be always 1

So, here as well we can write for given expression,

⇒ 7⁰  = 1

Hence, the value of expression is 1

To know more about Expressions check:

brainly.com/question/16804733

#SPJ2
If that's supposed to be 7 to the power of 0 then the answer is 1.
Because any number with the exponent as 0 = 1.

Find the measure of the indicated angle to the nearest degree.

Answers

you would do tanƟ = 9/12
tan^-1(9/12) = Ɵ
Ɵ = 36.87 degress
make sure your calculator is in degree mode
The answer is 36.87 degree. I hope it helps!

Solve: 9x - 5 = 22
plz show your working :)

Answers

9x - 5 = 22
9x = 22 + 5
9x = 27
x = 3
Add 5 to 229x=27Divide the 9 to 27X=3
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- 4x + 9y = 9-8x + 10y = 10