Factorise: <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%20-4x%20-1%20" id="TexFormula1" title=" x^{2} -4x -1 " alt=" x^{

The sum of two numbers is 85. If four times the smaller number is subtracted from the larger number, the result is 5. Find the t

Cerrena [4.2K]

Answer:

the larger number is 69

the smaller number is 16

Step-by-step explanation:

x is the smaller number

y is the larger number

x + y = 85

y - 4x = 5

y = 5 + 4x

x + 5 + 4x = 85

5x = 80

x = 16

y = 69

5 0

3 years ago

The distillation of raw data into useful information is known as ______. a. generalization b. data analysis c. data content d. e

PilotLPTM [1.2K]

Answer:

B. Data analysis

Step-by-step explanation:

Data analysis is a process of inspecting, cleansing and organizing , transforming and modeling data with the goal of discovering useful information, informing conclusion and supporting decision-making.

What is a Data?

Data are information, usually numerical, that are collected through observation, data is a set of values of qualitative or quantitative variables about one or more persons or objects.

Examples of data types are

1. Qualitative

2. Quantitative

3. Attribute

4. Discrete

5. Continuous Data

7 0

3 years ago

Help me this is really hard

nirvana33 [79]

1. 2n > 17

n > 7

2. n/5 ≥ 11

n ≥ 55

3. -3y ≤ -18

y ≥ 6

If these are right, please leave a thanks and a rating.

6 0

3 years ago

The area of the shaded segment is 100cm^2. Calculate the value of r.

Reil [10]

Hello,

The formula for finding the area of a circular region is: $A= \frac{ \alpha *r^{2} }{2}$

then:
$A_{1} = \frac{80*r^{2} }{2}$

With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.

$cos(40)= \frac{h}{r} \\ \\ h= r*cos(40)\\ \\ \\ sen(40)= \frac{b}{r} \\ \\ b=r*sen(40)$

Now we can find its area:
$A_{2}=2* \frac{b*h}{2} \\ \\ A_{2}= [r*sen(40)][r*cos(40)]\\ \\A_{2}= r^{2}*sen(40)*cos(40)$

The subtraction of the two areas is 100cm^2, then:

$A_{1}-A_{2}=100cm^{2} \\ (40*r^{2})-(r^{2}*sen(40)*cos(40) )=100cm^{2} \\ 39.51r^{2}=100cm^{2} \\ r^{2}=2.53cm^{2} \\ r=1.59cm$

Answer: r= 1.59cm

7 0

3 years ago

Read 2 more answers

Solve 7x - c=k for x

kobusy [5.1K]

Answer:

$x = \frac{c+k}{7}$

Step-by-step explanation:

<em>We'd add c in both sides</em>

7x = c + k

<em>Divide 7 in both sides isolate the variable</em>

7x/7 = x

c+k/7

x = c + k/7

Our answer is x = c+k/7

8 0

3 years ago