Find the equation of the line which passes through (4, -1) and (2, -1).

Question:

For which value of x must the expression √97x be further simplified?

A. 5    B. 10     C. 15     D. 20

Answer:

[tex]D.[/tex]  [tex]x = 20[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{97x[/tex]

Required

For what value of x can it be simplified

From the list of options, only (D) is correct

D. 20

Substitute 20 for x in [tex]\sqrt{97x[/tex]

[tex]\sqrt{97 x} = \sqrt{97 * 20}[/tex]

Express 20 as 4 * 5

[tex]\sqrt{97 x} = \sqrt{97 * 4 * 5}[/tex]

Reorder

[tex]\sqrt{97 x} = \sqrt{4 *97 * 5}[/tex]

Split

[tex]\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}[/tex]

[tex]\sqrt{97 x} = 2*\sqrt{97 * 5}[/tex]

[tex]\sqrt{97 x} = 2*\sqrt{485}[/tex]

[tex]\sqrt{97 x} = 2\sqrt{485}[/tex]

With other values of x, the given expression can not be simplified.

Hence:

[tex]x = 20[/tex]

Answer:

B. 180 degrees

Step-by-step explanation:

The straight angle represents 180°. Hence, option (B) is the correct answer.

Answer:

4.66666666667.

Step-by-step explanation:

3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.

Answer: False. When multiplying or dividing by an negative inequality you flip the sign.

Step-by-step explanation:

I think the answer is B.....

Answer:

-k=9×3

-k=27

God luck friend

Answer:

C

Step-by-step explanation:

Hello There!

The height of the water starts at 3 feet and its receding at a rate of .75 feet an hour

receding means to move farther away from previous position

so the equation would be

3-.75t

or

-.75t + 3

So we can conclude that the answer is C

Answer:

24.5

Step-by-step explanation:

please give me brainliest

Answer:

x = 28

Step-by-step explanation:

ΔARP ≈ ΔCRD

42/x = 57/(10+x)

cross-multiply:

42(10+x) = 57x

420 + 42x = 57x

420 = 15x

28 = x

Answer:

6.19

7a.C

7b.Angle AED

7c.Angle 8

7d. Angle 6 and 8

Step-by-step explanation:

6a. The labeled angles are vertical angles so we set them equal to each other.

[tex]7x - 8 = 6x + 11[/tex]

[tex]7x = 6x + 19[/tex]

[tex]x = 19[/tex]

7a.Angle 11 is near Point C so Point C is the vertex.

7b. Angle 5 vertex is E so we can use any 3 points as an angle as long as E is in the middle example, and the angles are on the left side so we can use

[tex]aed[/tex]

Write the angle sign as well.

7c. Angle 6 is vertical from Angle 8.

7d. Angle 7 and 6 form a linear pair and since Angle 6=Angle 8, Angle 7 and 8 form a linear pair as well.

Answer:

45

Step-by-step explanation:

Remember that all triangles equal 180. Add 50 and 85. It equals 135. Subtract that from 180 and it equals 45.

Answer: Si fuera de los que solo fuman sería del 43,5% si solo de los que lo beben sería del 20,5% si fueran los dos sería del 59%.

Step-by-step explanation:

The percentage of the population smokes or drinks is 52%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We are given that;

The drink is half, third and quarter of the percentage

The sum of these percentages must be 100%, so we can write an equation:

x + (1/2)x + (1/3)x + (1/4)x = 100

To solve for x, we need to simplify and isolate x. We can do this by multiplying both sides by 12, the least common multiple of 2, 3, and 4:

12x + 6x + 4x + 3x = 1200

25x = 1200

x = 1200/25

x = 48

This means that 48% of the population neither smokes nor drinks. Therefore, the percentage of the population that smokes or drinks is:

(1/2)x + (1/3)x + (1/4)x

= (1/2)(48) + (1/3)(48) + (1/4)(48)

= 24 + 16 + 12

= 52

Therefore, the percentage answer will be 52%.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

The complete question is;

In a city, the percentage of the population that smokes and drinks, the one who only smokes and the one who only drinks, it is half, third and quarter of the percentage that neither smokes nor drinks. Determine what percentage of the population smokes or drinks.

Answer:

y=1

x=3

Step-by-step explanation:

Answer:

here we are look for two numbers that would give us -12

so the numbers are

y=1 and x=3

Answer:

x=21

Step-by-step explanation:

Hello There!

In order to find the value of x we need to find the value of y

The angle labeled y and the right angle are vertical angles with the angle labeled 5y +10 therefore they are congruent

so y+90=5y+10

step 1 subtract y from each side

5y-y=4y

now we have

90=4y+10

step 2 subtract each side by 10

90-10=80

now we have

80=4y

step 3 divide each side by 4

80/4=20

so y =20

now we plug in y to (5y+10)

5x20=100

100+10=110

So now we can find x

The angle labeled 3x+7 is supplementary with the angle that is equal to 110

meaning that the sum of the two angles equal 180

so 180 = 3x+110+7

step 1 combine like terms

110+117

now we have

180=3x+117

step 2 subtract each side by 117

180-117=63

now we have 3x=63

step 3 divide each side by 3

63/3=21

so we can conclude that x = 21

Answer:

x = 21°

Step-by-step explanation:

y = 180° - 90° - (3x+7)°

y = 83° - 3x

(5y + 10) and (3x + 7) are supplementary angles (their sum is 180°) so:

(5y + 10) + (3x + 7) = 180°

reduce:

5y + 3x = 163°

substitute for y:

5(83° - 3x) + 3x = 163°

415° - 15x + 3x = 163°

reduce:

-12x = -252

divide both sides by -12:

x = 21°

y = 83° - 3(21°) = 20°

check:

(5(20) + 10) + (3(21) + 7) = 180°

110° + 70° = 180°

To write slope intercept form from a point, you take the 2 and covert it to 2/1, or rise/run form. Then you find the y-intercept. Now listen, this is very complicated. Ready? It's the y-coordinate. 4. Veery complicated.

So y=2/1+4

---

hope it helps

The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Answer: The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3 plus 3 equals 6. If you have 3 cookies and you add three more, now you 6 cookies.

Bon Appetit

Answer:

33.2 inches²

Step-by-step explanation:

Steps to derive the answer

Circumference of a circle = 2nr

n = 3.14

r = radius

20.41 = 2x 3.14 x r

Divide both sides by (2 x 3.14)

r = 3.25 inches

Area of a circle = nr²

3.14 x  3.25² = 33.2 inches²

Answer:

sss

Step-by-step explanation:

Answer:

No

Because Bradley's carton is taller than Josh's, Bradley would drink more milk.

Let us assume that Bradley carton has 100 quarts . If he drank 1/4, he would drink 25 quarts of milk. If Josh carton is 80 quarts full of milk, he would drink 20 quarts of milk. this example shows that they would not drink the same amount of milk

Step-by-step explanation:

A taller carton would contain more ounces of milk.

Answer:

1 2 − 6 + 2

Step-by-step explanation:

Answer:

4.6%

Step-by-step explanation:

[tex]A=Pe^{rt} \\19000=12000e^{10r} \\\\r=0.0459\\\\0.0459*100=4.59\\4.59=4.6%[/tex]

792,000,000,0

Step-by-step explanation:

550,000 x 60 = 330,000,00 (To get hourly rate)

330,000,00 x 24 = 792,000,000,0 (To get daily rate)

Hope this helps! :)

Answer:

45

Step-by-step explanation:

90+45+45=180,k

Answer:

−15

Step-by-step explanation:

−15

Answer:

-15

Step-by-step explanation:

5-5*5+5=5-25+5=-20+5=-15