Click and drag like terms onto each other to simplify fully<br> 7-1-6+4x

Which of the following (-1,8) and (5,-2) are the distance of the line segment

olganol [36]

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (-1, 8) and (5, -2). Substitute:

$d=\sqrt{(5-(-1))^2+(-2-8)^2}=\sqrt{6^2+(-10)^2}=\sqrt{36+100}=\sqrt{136}\\\\=\sqrt{4\cdot34}=\sqrt4\cdot\sqrt{34}=\boxed{2\sqrt{34}}$

8 0

3 years ago

there are 148 juniors and 272 seniors attending prom this year. if there must be three chaperones per 60 students, how many chap

valkas [14]

21 chaperones are needed for 420 students.

Step-by-step explanation:

No. of juniors = 148

No. of seniors = 272

Total = 148+272 = 420 students

3 chaperones = 60 students

1 chaperone = $\frac{60}{3}=20\ students$

Ratio of chaperon to students = 1:20

Let,

x be the number of chaperons for 420 students.

Ration of chaperones to students = x:420

Using proportion

Ratio of chaperones to students :: Ratio of chaperons to students

$1:20::x:420$

Product of mean = Product of extreme

$20*x=420*1\\20x=420\\$

Dividing both sides by 20

$\frac{20x}{20}=\frac{420}{20}\\x=21$

21 chaperones are needed for 420 students.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

3 0

3 years ago

If p(X)=x²-4x+5, then the value of p(1) is____<br>a)-1. b)0 c)1 d)2

swat32

Answer:

$p(x)=x^{2}-4x+5\\p(x)= 1^{2}-4(1)+5\\p(x)=1-4+5\\p(x)=2$

So 2 is the answer.

Hope this helps :D

6 0

3 years ago

Read 2 more answers

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t

Stolb23 [73]

Answer: The answer is 28%.

Step-by-step explanation: Given that the volume of construction work was increased by 60% and the productivity of labour increased by 25% only. We are to find the percentage by which the number of workers must increase to complete the in time.

Let 'V' be the volume of construction work, 'p' be the productivity of labour, 'n' be the number of workers, and 'x' be the percentage by which the number of workers must increase.

According to the question, we have

$V=r\times n,\\\\\dfrac{8}{5}V=\dfrac{5}{4}r\times n(1+x).$

Dividing the second equation by the first equation, we have

$\dfrac{\frac{8}{5}V}{V}=\dfrac{\frac{5}{4}nr(1+x)}{nr}\\\\\Rightarrow \dfrac{8}{5}=\dfrac{5}{4}(1+x)\\\\\Rightarrow 1+x=\dfrac{32}{25}\\\\\Rightarrow x=\dfrac{7}{25}=0.28.$ .

Thus, the required percentage of workers that must increase in order to complete the work in time as scheduled originally is 28%.

5 0

2 years ago

What quadrilaterals can you draw that have two sides with length 3 cm and two sides with length 7 cm?

umka2103 [35]

Answer:

Below.

Step-by-step explanation:

With these measures you can draw:

A rectangle.

A parallelogram.

A kite .

6 0

3 years ago

Click and drag like terms onto each other to simplify fully 7-1-6+4x