Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
[tex]AC = AB + BC[/tex]
If we know that [tex]AB = 8[/tex] and [tex]BC = 24[/tex], then:
[tex]AC = 8 + 24[/tex]
[tex]AC = 32[/tex]
The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
[tex]AC = AB + BC[/tex]
[tex]BC = AC - AB[/tex]
If we know that [tex]AC = 68[/tex] and [tex]AB = 17[/tex], then:
[tex]BC = 68-17[/tex]
[tex]BC = 51[/tex]
The length of BC is 51 units.
Enter the possible range of the measurement. Round to the nearest hundredth if necessary. 15 lb + 2%
Answer:
17%
Step-by-step explanation:
At the farmers marke, two pounds of peaches cost $4.20. How much will five pounds cost
Chris can eat 10 hotdogs and Kelvin can only eat 5. How would you describe how much Chris eats compared to Kelvin? How about Kelvin compared to Chris?
Answer::Chris it’s double the amount of hotdogs as Kelvin
Kelvin is half as many hotdogs is Chris
Chris eats 2x
Kevin eats x
P= R-C/N (R)
help please fast
Answer:
R = [tex]\frac{NP+C}{N}[/tex]
Step-by-step explanation:
Given
P = R - [tex]\frac{C}{N}[/tex] ( multiply through by N to clear the fraction )
NP = NR - C ( add C to both sides )
NP + C = NR ( divide both sides by N )
[tex]\frac{NP+C}{N}[/tex]
Ashley spent half of her weekly allowance at the movies. To earn extra money, Ashley’s parents let her clean the house windows for $8. What is Ashley’s weekly allowance if she endedupwith$14?
Answer:
$12
Step-by-step explanation:
First you make an equation-
Since she spent half of her allowance at the movies it should start with x/2. Then you add the extra money she made. This should equal $14.
Equation: x/2 + 8 = 14
Solve
x/2 + 8 = 14
Subtract 8 from both sides
x/2 = 6
Multiply each side by 2.
x= 12
How many letters are needed to name a plane ?
(5 - i)(5 + I)=
Answer choices:
26
25i
24
Answer:
26
Step-by-step explanation:
We can use difference of squares:
(5 - i)(5 + i) = 5^2 - i^2
i^2 = -1, so we have 25 - (-1) = 25 + 1 = 26
Answer:
26
Step-by-step explanation:
Solve the following equation. -8(-x-5)=40+8x
Answer:
all the values
Step-by-step explanation:
[tex]-8(-x-5)=40+8x\\\\-x-5=\frac{40}{-8}+ \frac{8x}{-8} \\\\-x-5=-5-x\\\\-x-5=-x-5\\\\-x=-x-5+5\\\\-x=-x+0\\\\-x=-x\\[/tex]
[tex]-1(-x)=-1(-x)\\\\x=x[/tex]
so all the values for x are solutions
Answer:
40=40 so the equation is true
Step-by-step explanation:
-8(-x-5)=40+8x
8x +40 = 40 + 8x
if you cancle out the 8x on both sides then it will be 40 = 40
therefore the equation is true and have infinite soulutions
Match the following items by evaluating the other expressions for x=-2
HELP!
X0= 1
X-2= 1/4
X-1= -1/2
X1= -2
X2= 4
Add one term to the polynomial expression 14x^19 - 9x^15 + 11x^4 + 5x^2 + 3 to make it into a 22nd degree polynomial
Given:
The polynomial is
[tex]14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]
To find:
One term which is used to add in given polynomial to make it into a 22nd degree polynomial.
Solution:
Degree of a polynomial is the highest power of the variable.
Let,
[tex]P(x)=14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]
Here, the highest power of x is 19, so degree of polynomial is 19.
To make it into a 22nd degree polynomial, we need to need a term having 22 as power of x.
We can add [tex]kx^{22}[/tex], where k is constant.
So add [tex]x^{22}[/tex] in the given polynomial.
[tex]P(x)=x^22+14x^{19}-9x^{15}+11x^4+5x^2+3[/tex]
Now, the degree of polynomial is 22.
Therefore, the required term is [tex]x^{22}[/tex].
The required polynomial to a 22nd degree is [tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]
Given the polynomial function, [tex]14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex],, we are to add one term to the polynomial to make it into a 22nd-degree polynomial.
Note the highest and leading power of the variable of any function is the degree of such function.
To convert the given polynomial to a 22nd-degree function, we will simply add a variable term x with a degree of 22 to have:
[tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]
Hence the required polynomial to a 22nd degree is [tex]P(x)=x^{22}+14x^{19} - 9x^{15} + 11x^4 + 5x^2[/tex]
Learn more here: https://brainly.com/question/2706981
50+(2x +30)+ (2x +20) + X=360
how do I solve this problem?
Answer:
x = 52
Step-by-step explanation:
50+(2x +30)+ (2x +20) + X=360
Combine like terms
5x+100 =360
Subtract 100 from each side
5x+100-100 = 360 -100
5x = 260
Divide by 5
5x/5 = 260/5
x = 52
Answer:
x=52
Step-by-step explanation:
50+(2x +30)+ (2x +20) + X=360
First combine like terms
50+30+20=100
2x+2x+x=5x
combine
5x+100=360
subtract 100
5x=260
divide by GCF (5)
x=52
Hope this helps! Plz award Brainliest : )
Solve the equation: (3)/(7)-(2)/(5)x=5
Answer:
x = - [tex]\frac{80}{7}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{7}[/tex] - [tex]\frac{2}{5}[/tex] x = 5
Multiply through by 35 ( the lcm of 7 and 5 ) to clear the fractions
15 - 14x = 175 ( subtract 15 from both sides )
- 14x = 160 ( divide both sides by - 14 )
x = [tex]\frac{160}{-14}[/tex] = - [tex]\frac{80}{7}[/tex]
What is another way to express five to the second power?
Answer: Squared because it equals to the 5 squared
Step-by-step explanation: Its because 5 to the second power is the same as 5 squared Hope this helped :)
Answer:
five squared
Step-by-step explanation:
i need help... my brain stopped working
Answer:
Well n=6
Step-by-step explanation:
This is because if 0=m you put that in the spot were m is and then that would be 0/5 which is 0 than you add 6 which 0+6 = well 6. Then you just plug your x's in to the equation (second part) but if you don't have a x you plug the y in instead.
List all of the factors of the number 48 in order least to gradest
Answer:
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Prime factorization: 48 = 2 x 2 x 2 x 2 x 3, which can also be written 48 = 2⁴ x 3.
Hoped I helped
i need to find the area .
Answer:
104 ft^2
Step-by-step explanation:
area of rectangle = 8 × 10 = 80
area of triangle = 1/2 × 6 × 8 = 24
∴total area = 104 ft^2
The length and width of a stamp are most often expressed in milliliters. Why? - Math Workplace
Answer:
a stamp is a really small object and in order for it to be measured accurately you should use a smaller measure hence milliters
find the area of (1, 13) (7, 13) (7, 1) (1, 1)
Answer:
36 units squared
Step-by-step explanation:
Let's say that (1, 13) is point A, (7, 13) is B, (7, 1) is C, and (1, 1) is D. The distance from point A to point B is 6 units horizontally, which we now know is the base. The distance from point C to point D is 6 units vertically, so this must be the height of the shape. To find the area we multiply the base times the height (6 * 6). We get 36, so the area of this shape is 36 units squared.
3,-10, -2, 13, 11 The mean is
Answer:
The Mean is 3
Step-by-step explanation:
For future reference, here's how to solve the mean.
1.Add up all data values to get the sum
2.Count the number of values in your data set and divide the sum by that number.
In this problem, there are 5 values, and all the values added together equals 15. Divide 15 by 5 and you get 3. The mean is 3.
PLEASE HELP 15 POINTS
-8 - h = 2(-.5h + 4)
Answer:
h= -6
Step-by-step explanation:
-8-h=2(-.5h+4)
-8-h=h+4
-2h=12
h=-6
At a school carnival 8 out of 20 tickets sold were early admission tickets. What percentage of the tickets were early admission tickets?
Answer:
40% were early admission tickets
Step-by-step explanation:
1.[tex]\frac{8}{20}[/tex]= 0.40 = 40%
Pls halp due today >_<. Thank you
hazal is paid $48 for 6hours work. how much is she paid for 4hours work?
Answer:
she get paid for 192 dollars for 4 hours
abcd is a rhombus. if AC is =8cm and BD =12cm find the area and perimeter of the rhombus
Answer:
AC= 8cm....(d1)
BD=12cm....(D2)
Step-by-step explanation:
BD=12cm....(D2)
Area of rhombus when diagonals are given=>
So According to the formula =>
Perimeter of rhombus formula when diagonals are given =
=> d1×d2
=> 8×12=96cm²
Find the Simple Interest on a loan of ₦60,000 at the rate of 3% for 3½ years.
Answer:
6300
Step-by-step explanation:
T = 3 1/2 = 7/2
R = 3% = 3/100
P = 60,000
I = PRT
I =60,000×3/100×7/2
I =6300
Quick ! What is 7/9 + 1/2 ?
Answer:
23/18
Step-by-step explanation:
Answer:
23/18 or 1 and 5/18
Step-by-step explanation:
7/9+1/2 can't be directly added, so you must find the lowest-common-denominator, which is 18 (multiplying the denominators gets you this number.) You then change the factors to have the common denominator of 18, which would be 14/18 and 9/18. From here, you just simply add those two numbers together.
which number below is not an irrational number 46, 47, 48 ,49
Answer:
Undeterminable, as no answer choices are given.
Step-by-step explanation:
No answer choices have been given. However, you can always find this out. Rational numbers are always a fraction or repeating decimal. For example, 1/3 is rational, 2.3838383838 is rational, but 3.1415926535879 is irrational.
Find the coordinates of the missing endpoint if B is the midpoint of AC.
C(5/3,-6),B(8/3,4)
Given :
[tex]C(\dfrac{5}{3},-6)\ , \ B(\dfrac{8}{3},4)[/tex] .
B is the mid-point of AC .
To Find :
The missing endpoint if B is the midpoint of AC.
Solution :
Let , coordinate of point A is ( h, k) .
So , mid-point B is given by :
[tex](\dfrac{\dfrac{5}{3}+h}{2},\dfrac{-6+k}{2})[/tex]
Comparing above point with [tex]B(\dfrac{8}{3},4)[/tex] , we get :
[tex]\dfrac{\dfrac{5}{3}+h}{2}=\dfrac{8}{3}\\\\h+\dfrac{5}{3}=\dfrac{16}{3}\\\\h=\dfrac{11}{3}[/tex] [tex]\dfrac{-6+k}{2}=4\\\\k=14[/tex]
Therefore , the value of point A is [tex](\dfrac{11}{3},14)[/tex] .
Hence , this is the required solution .
is 6.34 the 4 repeating rational or irrational
6.34 where 4 is repeating is rational no. because all the nos. which have repeating and terminating decimals can be rationalised.
What is an irrational no. ?An irrational no. is a number which has non repeating and non terminating decimal part.
According to the given question 6.34 the 4 repeating rational or irrational.
6.34 where 4 is repeating can be written as
6.3[tex]\overline{4}[/tex] to write this decimal in fractional form we write 6 + (9's for every repeating digit and 0 for every non repeating digit in the denominator and we subtract the non repeating part from the whole decimal part).
∴ 6.3[tex]\overline{4}[/tex] can be written as 6 + (34-3)/90 which is
= 6 + 31/90
= (540 + 31)/90
= 571/90.
learn more about irrational numbers here :
https://brainly.com/question/17450097
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7-3x+2? whts the answer
Answer:7-3x+2
9-3x
Step-by-step explanation:
