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3 years ago

Someone help PLEASE

Mathematics

1 answer:

Iteru [2.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

The perfect square:

$(a+b)^2=a^2+2ab+b^2$

We have

$y^2+14y+49=0\\\\y^2+2(y)(7)+7^2=0\\\\(y+7)^2=0\iff y+7=0\qquad\text{subtract 7 from both sides}\\\\\boxed{y=-7}$

We have

$y^2+16y+64=0\\\\y^2+2(y)(8)+8^2=0\\\\(y+8)^2=0\iff y+8=0\qquad\text{subtract 8 from both sides}\\\\\boxed{y=-8}$

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Joshua uses the Small Business Administration (SBA) Loan Program to obtain a loan to help expand his vending machine business. J

TiliK225 [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

Principal amount Joshua borrowed, P = $ 25000

rate of interest, r = 1.5 %

time, t = 2 years

simple interest = $\frac{P*r*t}{100}$

simple interest = $\frac{25000*1.5*2}{100}=750$

Means $ 750 will be the interest of Joshua's loan.

So, Joshua needs to repay the SBA = $25000+750=25750$

Hence, Joshua will repay $ 25750 to SBA after two years. : Answer

Hope it will help :)

5 0

3 years ago

Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.

yaroslaw [1]

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ $\frac{AB}{DE}=\frac{4}{2}=2$

∵ BC = 6 units

∵ EF = 3 units

∴ $\frac{BC}{EF}=\frac{6}{3}=2$

∵ CA = 2 units

∵ FD = 1 units

∴ $\frac{CA}{FD}=\frac{2}{1}=2$

∴ $\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2$

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

∴ Δ ABC is similar to Δ DEF

6 0

2 years ago

A deep sea driver descended from a rock with an elevation of -45.5 feet to a coral reef with an elevation of -88.5 feet. How far

vlada-n [284]

Answer:

43 feet

Step-by-step explanation:

How far is referring to the distance between the two numbers given.

In general, the distance between two numbers, a and b,

is given by |b-a| .

You have that you are finding the distance between -45.5 ft and -88.5 ft.

So the distance between those numbers is given by:

|-45.5-(-88.5)|

|-45.5+88.5|

|88.5-45.5|

|43.0|

|43|

43 (Since the number inside the | | has a distance of 43 from 0)

The distance between -45.5 ft and -88.5 ft is 43 ft.

7 0

3 years ago

How do I find the triangles similarity and each length

Kamila [148]

Angle g would be congruent/equal to itself because of verticals angles theorem. i hope that helped a bit

7 0

3 years ago

Which of the following statements are not true in developing a confidence interval for the population mean?

frutty [35]

Answer:

b) The width of the confidence interval becomes narrower when the sample mean increases.

Step-by-step explanation:

The confidence interval can be calculated as:

$\bar{x} \pm \text{Test Statistic}\displaystyle\frac{\sigma}{\sqrt{n}}$

a) The width of the confidence interval becomes wider as the confidence level increases.

The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.

b) The width of the confidence interval becomes narrower when the sample mean increases.

The above statement is false. As the sample mean increases the width of the confidence interval increases.

c) The width of the confidence interval becomes narrower when the sample size n increases.

The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.

8 0

3 years ago