Does the expression 2b + 5b have like terms?

Mathematics

2 answers:

Soloha48 [4]3 years ago

3 0

Answer:

Yes. 'b' is a like term

Step-by-step explanation:

ValentinkaMS [17]3 years ago

3 0

The two terms have the same variable, B. This allows us to add them together directly. 2B + 5B = 7B

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A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are

Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is $(x,y)$ .

To get it's coordinates, we use the section formula:

$(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})$

Where (m,n) is the (AB, BC)

Therefore we have

$(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})$

This gives:

$(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})$

$-1 =( \frac{x + 6}{2}$ and $2 = \frac{y + 3}{2})$

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

7 0

4 years ago

In a test of the effectiveness of garlic for lowering cholesterol, 8181 subjects were treated with raw garlic. Cholesterol leve

xz_007 [3.2K]

Answer:

With garlic treatment, the mean change in LDL cholesterol is not greater than 0.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine the effectiveness of garlic for lowering cholesterol.

A random sample of 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment.

The hypothesis for the test can be defined as follows:

H₀: With garlic treatment, the mean change in LDL cholesterol is not greater than 0, i.e. d ≤ 0.

Hₐ: With garlic treatment, the mean change in LDL cholesterol is greater than 0, i.e. d > 0.

The information provided is:

$\bar d=0.40\\SD_{d}=16.2\\\alpha =0.01$