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Umnica [9.8K]
2 years ago
12

I need help with this please and thank you.

Mathematics
1 answer:
SashulF [63]2 years ago
3 0

Answer: I believe the answer would be as follows:

8.431 grams

5.46 seconds

980 meters

900 miles

Step-by-step explanation:

it would first be which has the largest number after the decimal point, so if there’s three it goes first (0.12*3*). Then you would pick the one that is the smallest form of measurement, which would be meters in this case.


Hope this helped!

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Which value of K will make x^2-1/4x+k a perfect square trinomial?
lakkis [162]
To find it it is
ax^2+bx+c
if the first term (a) is 1 then c=b/2
b=-1/4
(-1/4)/2=-1/4 times 1/2=-1/8

k=-1/8


4 0
3 years ago
Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
3 years ago
What times 3 equals 3/10
Mumz [18]

Answer:

1/10

Step-by-step explanation:

Divide 3/10 by 3. Remember to "keep, flip, change".

3/10 ÷ 3/1

3/10 × 1/3

Multiply across: 3/10 × 1/3 = 3/30

Simplify: 3/30 = 1/10

7 0
3 years ago
Given f(x) = 5x - 4, find the value of x if f(x) = 31<br> A. 7<br> B. 27/5<br> C. 151<br> D. -7
Trava [24]
The answer is A. 7 I believe.

31= 5x - 4

You have to do 31 + 4 and you get 35.
The last step is to do 35 divide 5 and you get 7.
8 0
2 years ago
IF IT RIGHT YOU CAN GET 5,000 POINTS AND MARK which of the following pairs of numbers provide the best estimate of Which of the
Alik [6]

Answer:

The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.

Step-by-step explanation:

Since the square root of 53 is:  7.28...

sqrt(36) = 6

sqrt(64) = 8

sqrt(81) = 9

sqrt(49) = 7

Option D would be the best estimate

Answer:  The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.

8 0
3 years ago
Read 2 more answers
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