Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants.

What value of c makes x2 6x c a perfect square trinomial? c = If x2 6x c = (x d)2, then d =.

Mariana [72]

$\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}$

3 0

2 years ago

A 10 gram ball is rolling at 3 m/s. The ball has __________ energy. Calculate it.

sladkih [1.3K]

Answer:

kinetic

Step-by-step explanation:mark brainliest plzzzzzzzzzz

3 0

3 years ago

Read 2 more answers

What scale factor was applied to the first rectangle to get the resulting image?

madam [21]

Answer:

The scale factor for the resultant rectangle is $\frac{2}{5}$ units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.

That is $\text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}$

Here, $\text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}$

$\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}$

Hence, the scale factor for the resultant rectangle is $\frac{2}{5}$ units.

4 0

3 years ago

The purpose of statistical inference is to make estimates or draw conclusions about a.

Free_Kalibri [48]

When we make estimates of or draw conclusions about one or more characteristics of a population based upon the sample, we are using the process of statistical inference.

To estimate this sample to sample variance or uncertainty is the goal of statistical inference.

What is the purpose of statistical inferences ?

To be able to make inferences about a population based on data from a sample is the goal of statistical inference.
The process of statistical inference involves selecting a sample, gathering data from that sample, calculating a statistic from the data, and drawing conclusions about the population from that statistic.

How is statistical inference used to draw conclusions?

Estimation and hypothesis testing are components of statistical inference (evaluating a notion about a population using a sample) (estimating the value or potential range of values of some characteristic of the population based on that of a sample).

Learn more about statistical inference

brainly.com/question/3640262

#SPJ4

4 0

2 years ago

Miguel wants to bike a total of 100 miles over the course of one week in the summer. He logs how much he bikes each day in the t

bagirrra123 [75]

Answer:

Change all of the number into the same form for ease of adding.

16.3 + 14.5 + 18.75 + 12.25 + 22.6 = 84.4

100 - 84.4 = 15.6

Miguel has to ride a total of 15.6 miles on Saturday and Sunday

4 0

4 years ago