Hello! I'm happy to help!
Question 13: First, we will need to find the value of x. We know that AB and BC are equal.
So, we can subtract x from both sides.
2x-8
-x
x-8
So, we get AB as x-8
x+17
-x
17
and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.
17+25=42
Therefore, both AB and BC have a value of 42. and AC will be the combined total.
42+42=84
So, for question 13, x=25, AB=42, BC=42, and AC=84.
Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.
2x+12=3x-31
We need to single out the x on one side, by changing things in the same way on both sides.
2x+12=3x-31
-2x -2x
12=x-31
+31 +31
43=x
Now that we know our x value, we need to plug it in!
43+6=49
We now know that both AB and BC have a value of 49. Let's plug in the value for AC.
(43·3)-31
129-31
98
After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.
To Summarize Question 14: x=43, AB=49, BC=49, AC=98.
Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.
AB=3(3x-1) AB=9x-3
AC=5(2x+2) AC=10x+10
Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them
(9x-3)+(9x-3)=18x-6=AC
We now compare the two expressions in an equation to find x.
10x+10=18x-6
Again, we have to single out x on one side.
10x-10=18x-6
-10x -10x
10=8x-6
+6 +6
16=8x
This time, we need to divide both sides to single out x.
[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]
2=x
Now that we have x, we need to plug it in to finish solving.
(9·2)-3
18-3
15
AB=15 BC=15
From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.
15+15=30 (10·2)+10
AC=30 20+10=30
AC=30
To Summarize Question 15: x=2, AB=15, BC=15, AC=30.
I'm always happy to help, keep learning! :D
Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help
Answer:
Yes, this is a function.
Step-by-step explanation:
Every input has its own unique output (no x number goes to more than one y number).
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
i need helpp !! ill mark brainliest !
393/1000. i think, sorry. :c
help me please????????
Answer:
c
Step-by-step explanation:
Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.
Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.
For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.
-2x + 9x5 + 1 - 9x2
What’s the answer to this someone help plz
Answer:
factored = -2(x-14) Simplified= -2x+28
Step-by-step explanation:
Determine whether each relation is a function
Please help I dont wanna fail math this year
Thanks
(I am in Algebra 1 btw)
Which graph shows the function f(x) = x with an input of f(x – 3)?
Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?
Answer:
$3,140,835
Step-by-step explanation:
4,119,184-978,349=3,140,835
hope this helped!
What does the term "cube root" mean?
Given that
a
= 3 cm and
b
= 21 cm, work out
θ
rounded to 1 DP.
Answer:
I am sorry I not no
this question
Step-by-step explanation:
sorry dear friend
the number 126 is divisible by what numbers ? 2,3,4,5,6,9,10
Answer:
1,
Step-by-step explanation:
You may also be interested to know that all the numbers that 126 is divisible by are also known as the factors of 126. Not only that, but all the numbers that are divisible by 126 are the divisors of 126.
Find the mean of 9, 10, 3, 9, 2, 3 graphically.
Answer:
Mean=6
Sum of numbers= 30
Step-by-step explanation:
can someone please help me with this?
I think the given figure will help you....
Consumer Math
Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.
Answer:
I think c if not sorry
Step-by-step explanation:
C is the only one that makes sense
person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.
The correct option is (C).
What is strategy?
Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.
Considering the cost saving ,
Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.
Other just look on the quality, first buyer, took the item in increased price.
Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.
Learn more about strategy here:
https://brainly.com/question/20350382
#SPJ2
what's the Answer ?
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
Answer:
Solution given;
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]
[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]
[tex]\dfrac{15}{3}[/tex]
=5
Answer:
First, simplify the content under root:
[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]Now, use the following identity:
[tex]\sqrt{a^2} = |a|[/tex] = ± aLast, we get:
√25 = √5² = ± 5combine like terms and simplify. 7(3y-5)-2(10+4y)
Answer: 13y - 55
Step-by-step explanation:
Given
7 (3y - 5) - 2 (10 + 4y)
Expand parentheses and apply the distributive property
=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y
=21 y - 35 - 20 - 8y
Move like terms together
=21y - 8y - 35 - 20
Combine like terms
=13y - 55
Hope this helps!! :)
Please let me know if you have any questions
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)
(
Solve this equation for p:
P+1 / 2 = 3p+7/5
Answer:
p = -10
Step-by-step explanation:
[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions
6p + 14 = 5p + 5
6p - 5p = 5 - 15 subtract like terms
p = - 10
Evaluate the expression
Answer:
361
Step-by-step explanation:
[tex]3 \times {11}^{2} - 2 = 361[/tex]
Answer:
361
Step-by-step explanation:
3(7+4)^2-14÷7
PEMDAS says parentheses first
3(11)^2-14÷7
Then exponents
3(121)-14÷7
Then multiply from left to right
363 -14÷7
363 -2
Subtract
361
PLEASE HELP ME WITH THIS GEOMETRY ASSIGNMENT!! WILL GIVE BRAINLIEST ANSWER!!!!!
Answer:
im pretty sure your answer is correct :)
Step-by-step explanation:
Answer:
line [tex]l[/tex]
The length of JM is 9.
Step-by-step explanation:
Since JM ≅ MK then we can form the following:
[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]
find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1
no spam plz fast
The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of lines are,
⇒ 2x + 3y + 2 = 0
⇒ 2xy = - 1
Now,
Since, The equation of lines are,
⇒ 2x + 3y + 2 = 0 ..(i)
⇒ 2xy = - 1 ..(ii)
From (ii);
⇒ 2xy = - 1
⇒ x = - 1/2y
Put above value in (i), we get;
⇒ 2 × - 1/2y + 3y + 2 = 0
⇒ - 1/y + 3y + 2 = 0
⇒ - 1 + 3y² + 2y = 0
⇒ 3y² + 2y - 1 = 0
⇒ 3y² + 3y - y - 1 = 0
⇒ 3y (y + 1) - 1 (y + 1) = 0
⇒ (3y - 1) (y + 1) = 0
⇒ y = 1/3
And, y = - 1
So, The value of x is,
⇒ x = - 1/2y
⇒ x = - 1/2 × - 1
⇒ x = 1/2
And, x = - 1/2 × 1/3
⇒ x = 1/6
Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)
Learn more about the substitute method visit:
https://brainly.com/question/26094713
#SPJ2
Can someone Solve this math problem for me I'm having some trouble.
27×26+98÷25?
Answer:
705.92
Step-by-step explanation:
hope it's help
#MASTER GROUP
# FIRST MASTER
# PHILIPPINES
What form of deductive reasoning is used in the given argument?
If it’s raining outside, I’ll wear my raincoat.
I am not wearing my raincoat.
It is not raining outside.
A.
law of detachment
B.
law of syllogism
C.
law of contrapositive
D.
identification of counterexample
Answer:
C.
law of contrapositive
Answer:
law of contrapositive
Step-by-step explanation:
find the square of 20.
Answer:
400
Step-by-step explanation:
[tex] {20}^{2} = 20 \times 20[/tex]
that is equal to 400
Answer: 400
Step by step explanation:
20*20= (2*2)*(10*10)= 4*100=400
Which property is 5+ a = a + 5 ?
Select one:
O a. Commutative Property of Addition
O b. Identity Property of Addition
O c. Commutative Property of Multiplication
O d. Inverse Property of Addition
Answer:
[tex]commutative \: property \: of \: addition \\ thank \: you[/tex]
what is the sum for the 20th row and the 50th row
Answer:
Step-by-step explanation:
lkj
cos a/4= -1/4
cos a= ??
Answer:
cos a / 4 = -1/4
--->cos a =- 1
why are there three zeros in the product of 6 times 103
Answer:
There’s not
Step-by-step explanation:
It’s 618
Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem?
Yes; 1,100 is less than 1,500.
No; 1,100 is more than the 400 he burned off at the gym.
No; 1,100 will cause him to exceed 1,900.
Yes; 1,100 is less than 1,900.
Answer:
Option 3
Step-by-step explanation:
If he burned off 400 calories from 1500 consumed calories, he has 1100 consumed calories. 1900 - 1100 = 800 calories left to consume.
While option 2 also says no, it's not the right reason.
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Given,
Jace has consumed 1,500 calories so far today.
He has also burned off 400 calories at the gym.
He would like to keep his daily calorie total to 1,900 calories per day.
We need to find how many calories he has left to consume for the day.
And see which option is the best choice.
We have,
Calories consumed in a day = 1500
Burned calories = 400
Calories to keep in a day = 1900
Find the Calories left
= 1500 - 400
= 1100
Find how many calories need to be consumed to keep 1900 calories.
= Calories needed to keep in a day - calories remaining after burned
= 1900 - 1100
= 800
We see that the calories left to consume is 800 calories.
So 1100 is not a viable solution. It will cause him to exceed 1,900.
Thus,
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Learn more about finding the calories needed to consumed to keep daily calories here:
https://brainly.com/question/12862654
#SPJ2
