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malfutka [58]
3 years ago
7

A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a stra

ight line to (1, 1), while a black ant leaves the anthill and moves along a straight line to (−1, −1). Next, the red ant moves to (2, 2), while the black ant moves to (−2, −2). Then the red ant moves to (3, 3), while the black ant moves to (−3, −3), and so on. Complete the explanation of why the red ant and the black ant are always the same distance from the anthill. At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The red ant's distance from the anthill is (blank) . The black ant's coordinates may be written as (−a, −a) and the black ant's distance from the anthill is (blank) . This shows that at any given moment, both ants are (blank) units from the anthill.
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:use calculator to divide the variables and use the countains as a providence

Step-by-step explanation:

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This so unfaired. dis dude be like:
amm1812

Answer:

correct

Step-by-step explanation:

pls mak as brainlyest if it is unfair

it is so unfair

4 0
2 years ago
Read 2 more answers
5x^{2} + 3x = x^{2} + 7x
Ipatiy [6.2K]
5x^{2} + 3x = x^{2} + 7x\\
4x^2-4x=0\\
4x(x-1)=0\\
x=0 \vee x=1
8 0
3 years ago
Triangle ABC was dilated by 50%. What is the relationship between AC and A'C'?
Elina [12.6K]

Answer:      

The length of segment AC is two times the length of segment A'C'

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

A'C' ----> the length of segment A'C'

AC ----> the length of segment AC

so

z=\frac{A'C'}{AC}                        

we have that

z=50\%=50/100=\frac{1}{2} ---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero

substitute

\frac{1}{2}=\frac{A'C'}{AC}                

AC=2A'C'

therefore

The length of segment AC is two times the length of segment A'C'

5 0
2 years ago
Read 2 more answers
How tall would the tree be?
Ksivusya [100]

Answer:

26 feet

Step-by-step explanation

3 0
3 years ago
A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

Answer:

First of all, we need to determine the system of hypothesis, which must have a null and alternative hypothesis.

In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

Applying all values to the formula: Z=\frac{104.3 - 100}{\frac{14}{\sqrt{20} } } = \frac{4.3}{\frac{14}{ 4.5} }=\frac{4.3}{3.1}=1.4

Then, this Z-value will give us the P-value by using the Z-table with the 0.05 level of significance. In table attached, we can see that the result is 0.9265. However, the P-value is 1 - 0.9265 = 0.735. We need to do this subtraction because, the result 0.9265 belong to the bigger area (as it's shown is the image in blue colour), and we need the smaller area, which belong to the 0.05 level of significance.

<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

5 0
3 years ago
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