What is the perimeter of a triangle with sides the following lengths: 3a + 2c,5c + 9 and 5a

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres

Nataly [62]

Answer:

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of $c$ units up, the translation is given as:

$(x,y)\rightarrow (x,y+c)$

For shift of $k$ units right, the translation is given as:

$(x,y)\rightarrow (x+k,y)$

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

So, co-ordinates of point A after translation is given by :

$(-3,4)\rightarrow (-3+1,4+2)=(-2,6)$

After the translation, the coordinates of vertex A is (-2,6).

4 0

3 years ago

The least common denominator of three fraction is 100. one of the fractions are 7/10. what are the other fractions.

yaroslaw [1]

The asnwer is play robl0x

5 0

3 years ago

Describe how to use Scientific Notation to write a very large number. Give an example, written in both Standard Form and Scienti

mel-nik [20]

A short way of writing really large numbers or really small numbers
Ex:
360,000,000 is written in scientific nation as.. 3.6 x 10^8

5 0

3 years ago

Please I need help I’m giving 20 points for the answer please

strojnjashka [21]

Answer:

I would answer but in your question you said you are giving away 20 points when you are only giving away 15.... Make sure to state facts only.

Step-by-step explanation:

I'll answer anyways.....

You can make 0 different triangles. The angles/points would never line up right to make a triangle. Sorry if I'm wrong but I'm pretty sure this is right.

*If this helped Plz mark Brainliest*

3 0

3 years ago

To test if the mean IQ of employees in an organization is greater than 100, a sample of 30 employees is taken and the value of t

ivolga24 [154]

Answer:

$p_v =P(t_{(29)}>1.42)=0.0831$

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Step-by-step explanation:

Information given

We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:

Null hypothesis: $\mu \leq 100$

Alternative hypothesis: $\mu > 100$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic calculated for this case $t_{calc}= 1.42$

The degrees of freedom are given by:

$df=n-1=30-1=29$

Now we can find the p value using tha laternative hypothesis and we got:

$p_v =P(t_{(29)}>1.42)=0.0831$

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

5 0

3 years ago

What is the perimeter of a triangle with sides the following lengths: 3a + 2c,5c + 9 and 5a - 6. Simplify the expression.