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3 years ago

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Mathematics

2 answers:

kodGreya [7K]3 years ago

8 0

Answer:

B: AC = 4DB

Step-by-step explanation:

Since B is the midpoint of AC, this means that AB≅BC.

Since D is the midpoint of AB, then AD≅DB.

This means that AD is 1/4 of the length of AC, since it is 1/2 of 1/2 of the length (1/2*1/2 = 1/4). DB is the same length, since it is congruent to AD.

This means that AC = 4DB.

anastassius [24]3 years ago

3 0

AC=4DB IS THE CORRECT ANSWER

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Multiply 3x^2-2x and 2x^2+3x-1

Mnenie [13.5K]

Answer:

6 $x^{4}$ + 5x³ - 9x² + 2x

Step-by-step explanation:

Given

(3x² - 2x)(2x² + 3x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis

= 6 $x^{4}$ + 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms

= 6 $x^{4}$ + 5x³ - 9x² + 2x

4 0

3 years ago

In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. A

suter [353]

Answer:

a. [6.6350,7.3950]

b. ME=0.5150

Step-by-step explanation:

a. Given that n=40, $\bar x=6.88$ and that: $z_{\alpha/2}=z_{0.05}=1.645$

The required 90% confidence interval can be calculated as:

$\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]$

Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]

b. The margin of error at 90% confidence interval is calculated as:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\=(1.645\times \frac{1.98}{\sqrt{40}})\\\\=0.5150$

Hence, the margin of error is 0.5150

8 0

3 years ago

Y = (x²+3)(2x-6)<br> What is the derivative?

ahrayia [7]

Answer:

y = (x²+3)(2x-6)

dy/dx=d(x²+3)(2x-6)/dt=(x²+3)d(2x-6)/dt+(2x-6)d(x²+3)/dt= (x²+3)(2)+(2x-6)(2x)=2x²+6+4x²-12x=6x²-12x+6=6(x²-2x+1)

4 0

3 years ago

I need help pleasseseeee

Genrish500 [490]

Text me on insta for the answer I don’t see a picture original_loredo

6 0

3 years ago

Read 2 more answers

6 plates and 5 cups cost 23.80 dollars. 7 plates and 6 cups cost 28.00 dollars. Each plate costs the same amount as the other pl

MrRa [10]

Answer:

c = $1.4

p = $2.8

Step-by-step explanation:

two equations can be derived from the question

6p + 5c = 23.80 equation 1

7p + 6c = 28 equation 2

p = plates

c - cups

multiply equation 1 by 7 and equation 2 by 6

42p + 35c = 166.60 equation 3

42p + 36c = 168 equation 4

subtract equation 3 from 4

c = 1.4

substitute for c in equation 1

6p + 5(1.4) = 23.80

p = (23.80 - 7) / 6

p = 2.8

6 0

2 years ago