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Evgen [1.6K]
3 years ago
12

What is the point-slope form of a line with slope -3 that contains the point

Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

y-y_{1} =m(x-x_{1})

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

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Write a pair of fractions as a pair of fractions with a common denominator using the fractions 1/2 and 1/3.
Vinvika [58]

Answer:

3/6, 2/6.

Step-by-step explanation:

The lowest common denominator of 2 and 3 is 6.

1/2 = 3/6 and 1/3 = 2/6

So this  pair of fractions is 3/6, 2/6.

4 0
3 years ago
Given a population of class sizes at a university in an academic year​, indicate what the sampling distribution for samples of 3
drek231 [11]

Answer:

D

Step-by-step explanation:

sampling distribution is statistical representation of statistics of each sample.  So for a class size of 30,

A. number of samples have to be very large and defined in sampling distribtuion so this option is nullified

B. sample collection in sampling distribution is done without replacement of individuals so this option is nullified

C. this explanation doesn't match with the definition so this option is nullified

D. It is the correct option

3 0
3 years ago
Ted says that 3 tenths multiplied by 100 equals 300 thousands .is he correct ? use a place value chart to explain your answer
Elena-2011 [213]
Well I can explain how Ted is wrong. 3 tenths multiplied by 100 is actually 30. The place value of the three goes up 2 times and the decimal goes backward by 2.
5 0
3 years ago
Dave buys a basketball for $20 plus an 8% tax. Mel bought a football for $28 plus an 8% tax. Enter the difference that Dave and
Neko [114]

Answer:

Dave:

$20 + 8% of 20 = $21.6

Dave payed a total of $21.6 for the basketball.

Mel

$28 + 8% of 28 = $30.2

Mel payed a total of $30.2 for the football.

$30.2 - $21.6 = $8.6

The difference is $8.6.

3 0
3 years ago
The ratio of areas of two triangles with common base is 4:5. The height of smaller triangle is 6cm. Find height of greater trian
8_murik_8 [283]

Answer:

Height of the greater triangle is 7.5 cm (Approximately).

Step-by-step explanation:

Given that

The ratio of two triangles with common base = 4:5

Let they be 4x cm² and 5x cm²

The area of the bigger triangle = 5x cm²

The area of the smaller triangle = 4x cm²

also,

Given that

The base of two triangles are same

Let the base of the two triangles be b cm

Height of the smaller triangle = 6 cm

Now,

Area of the triangle = (1/2)×base×height sq.units

⇛Area of the smaller triangle

⇛(1/2)×b×6 = 4

⇛6b/2 = 4

⇛3×b = 4

⇛b= 4/3 cm

.°. b = 4/3 cm

Now,

The length of the base = 4/3 cm

Area of the greater triangle = 5 cm²

⇛(1/2)×(4/3)×h = 5

⇛(4/6)×h = 5

⇛(2/3)×h = 5

⇛h = 5/(2/3)

= 5×3/2

= 15/2

⇛h = 7.5 cm (Approximately)

<u>Answer</u><u>:</u> Therefore, Height of the greater triangle is 7.5 cm.

Please let me know if you have any other questions.

6 0
2 years ago
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