Answers
=====================================================
Explanation:
C is the midpoint of AB. This means AC is half as long as AB
Put another way, AB is twice as long as AC
AB = 2*AC
AB = 2*( AC )
32 = 2*( x/2 + 10 ) .... substitution
32 = 2*(x/2) + 2*10 ... distribute
32 = x + 20
x+20 = 32
x = 32-20 .... subtract 20 from both sides
x = 12
---------
If x = 12, then
AC = x/2 + 10
AC = 12/2 + 10
AC = 6+10
AC = 16
which is half of AB = 32, so it confirms our answer.
Related Questions
Identify the slope and y- intercept of the linear equation.
y = -2x + 5
Slope:
y-intercept:
Answers
Answer:
Slope= -2
y-intercept= 5
Step-by-step explanation:
Solve: 3(2x + 4) = 5x - 2
Answers
Answer:
= -14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(2x+4)=5x−2
(3)(2x)+(3)(4)=5x+−2(Distribute)
6x+12=5x+−2
6x+12=5x−2
Step 2: Subtract 5x from both sides.
6x+12−5x=5x−2−5x
x+12=−2
Step 3: Subtract 12 from both sides.
x+12−12=−2−12
x=−14
In a year, there are 4 months that have 30 days.
What is the ratio of the months with 30 days to the months with other than 30 days?
A. 2 to 1
B. 1 to 3
C. 1 to 2
D. 3 to 1
Answers
Answer:
D=3 to 1
Step-by-step explanation:
12/4=3/1
Answer:
D
Step-by-step explanation:
I got it wrong before by 1 to 3
but it is 3 to 1 :(
A rectangular garden is fenced on all sides with 234 feet of fencing. The garden is 5 feet longer than it is wide. Find the length and width of the garden.
Answers
Answer:
The width in only one side is 56ft and in both it is 112ft. The length in only one side is 61ft and in both sides it is 122ft.
Step-by-step explanation:
Use a cofunction identity to rewrite cos(120° − (30° + a)).
Answers
Answer:
sina
Step-by-step explanation:
Using the cofunction identity
cos(90 - x) = sinx , then
cos(120 - (30 + a) )
= cos(120 - 30 - a)
= cos(90 - a)
= sina
An expression is defined as a set of numbers, variables, and mathematical operations. Using a cosine function identity cos(120° − (30° + a)) can be written as sin a.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given cosine expression can be rewritten as,
cos(120° − (30° + a))
Opening the bracket, to simplify the angle,
= cos(120° − 30° − a)
= cos(90° − a)
Since the cosine and sine angles are complementary to each other, therefore, cos(90° − x) = sin(x), thus, we can write the expression as,
= sin a
Learn more about Expression:
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PLEASE HELP ITS GEOMETRY
Answers
you can tell since 3 units of the larger triangle make up 1 unit of the smaller triangle.
A salt mixture hss 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water?
A) 7 to 1
B) 1 to 7
C) 2 to 7
D) 2 to 8
Answers
Answer:a
Step-by-step explanation:
Answer:
C) 2 to 7
Step-by-step explanation:
1 part salt:7 parts water
Add 1 part salt
2 part salt: 7 Parts water
Help me I’m being desperate
Answers
Answer:
All you have to do is graph them.
Step-by-step explanation:
For example, the x axis is on the bottom and the y axis is on the left side. You take the 4 and start from the bottom, then move up 3 times, then place your dot. (4,3)
Then continue with the rest and draw a line through each of your dots. Let me know if you need more help! I left a picture of the first one to give you an example of what it should look like
In the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
[? ]°F
Answers
Answer:
-5f is lower than summer 98°f
Step-by-step explanation:
n the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
A record store was selling 3 used CD's for $12.51.
Online you
could buy 5 used CD's for $20.70.
Which place has a lower unit price?
Answer:
Answers
Answer: Online
Step-by-step explanation:
Find the unit price
(multiply 12.51 and 20.70 by 100 to make it easier to divide)
12.51 divided by 3 = 417
20.70 divided by 5 = 414
Hope this helps!
simpfly by dividing [-5/8] divided by [-3/4]
Answers
Answer:
-5/-6
Step-by-step explanation:
you just need to flip the second one around and multiply across afterwards
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.
Answers
Answer:
x times 8 I'm pretty sure
2. Choose 3 integers less than or equal to 8?
a). x = 8,9,10
b). x =-3,0,10
c), x = 0,1,8
d) x = 2,3,9
Answers
Answer:
c
Step-by-step explanation:
because 8 is equal to 8. 0 and 1 are less than 8.
Can someone help me with number 12 ASAP please
Answers
Answer:
[tex]x > 1[/tex]
x is greater than 1
solve the equation
v-9 =14
Answers
Answer:
the answer for this euqation is 23
Step-by-step explanation:
Answer:
or,v=14-9 ...v=5,so v=5
whole numbers are _____ Intergers
Answers
Answer:
I believe the answer is positive
Step-by-step explanation:
There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers
solve this please thankyou
Answers
Answer:
second option
Step-by-step explanation:
The left side has a solid circle at - 3 indicating x can equal - 3 denoted by ]
The arrow points left to - ∞
The right side has an open circle at - 1 indicating x cannot equal - 1 denoted by )
The arrow points right to ∞
The feasible region is the union of the 2 parts, that is
( - ∞, - 3 ] U (- 1, ∞ )
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
Answers
Answer:
b = 0
Step-by-step explanation:
Subtract 6 from both sides:
4b = 2 - b - 2
Subtract 2 from two, and get 0.
4b = -b
this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.
You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.
I have till 2 and I need help
Answers
Answer:
(12 * 4) + 4x / 4
Step-by-step explanation:
Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answers
Answer:
2 1/2 per piece
Step-by-step explanation:
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answers
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
Learn more about quadratic equations here:
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What is the equation in point slope form for a linear function with a slope of m=−4 that passes through the point (2,−7)?
Answers
Answer: y+7=-4(x-2)
Step-by-step explanation:
point slope formula is y-y1=m(x-x1)
it gives you m = -4
(x1,y1) = (-1,-7)
y-(-7) = -4(x-2)
negative of a negative number is positive
y+7=-4(x-2)
you leave that as your answer because thats what point slope for is
its in that form ^
The equation in point slope form for a linear function is [tex]y=4x+15[/tex]
Given the following points:
Points on the x-axis = 2 Points on the y-axis = -7 Slope, m = -4
To write an equation in point slope form for a linear function:
The standard form of an equation of line is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
Where:
x and y are the points. m is the slope.Substituting the given parameters into the formula, we have;
[tex]y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15[/tex]
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SAT Scores SAT Scores Group 1 Group 2 1520 1510 SAT Scores Group 3 SAT Scores Group 4 1620 1480 1630 1480 1700 1570 1480 2100 1520 1400 1580 1800 1510 1800 1400 1300 1530 1930 1300 1250 1430 2150 1700 1400 2000 1340 1610 1430 1800 1580 1580 1390 1410 1530 1520 1520 1390 1610 The SAT scores of 4 groups of 10 students are shown. Which group has the greatest range? A) Group 1 B) Group 2 Group 3 D) Group 4
Answers
Answer:
Group 4
Step-by-step explanation:
Group 4 is the only group that has any numbers. And Group 2 the range is not big at all.
Was this the question or did you make a mistake with the numbers?
At the local coffee shop, they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Jason spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Jason purchased last month?
Answers
Answer:
r = 18
Step-by-step explanation:
6 + 1.30r = 29.40 [write out the equation]
-6 -6 [subtraction property of equality]
1.30r = 23.40
___ ____ [division property of equality]
1.30 1.30
r = 18
I hope it helps :)
Answer:
6 + 1.30r = 29.40
Step-by-step explanation:
A hamburger and 2 drinks cost $6.00; 2 hamburgers and 2 drinks cost $9.60.
How much does 1 drink cost?
Answers
$1.20
explanation:
h + 2d = 6
2h + 2d = 9.60
-2h - 4d = -12
2h + 2d = 9.60
- 2d = - 2.4
d = $1.20
The cost of 1 drink is required.
The cost of 1 drink is $1.20.
Let cost of 1 hamburger be [tex]x[/tex]
cost of 1 drink be [tex]y[/tex]
The equations will be
[tex]x+2y=6[/tex] [tex]\times2[/tex]
[tex]2x+2y=9.6[/tex]
[tex]2x+4y=12[/tex]
[tex]2x+2y=9.6[/tex]
Subtracting the equations
[tex]2y=2.4\\\Rightarrow y=\dfrac{2.4}{2}\\\Rightarrow y=1.2[/tex]
The cost of 1 drink is $1.20.
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what is x ?
what is y ?
Answers
Answer:
x = 100º
y = 100º
Step-by-step explanation:
180º = 80º+y
180º-80º = 80º-80º+y
100º = y
x and y are equal so x is also 100º
Nate sees toys at the toy store. He sees more than 200 toys, but fewer than 300. How many toys could Nate see? Draw to show the number. Write the number in different ways.
Answers
Answer:
250?
Step-by-step explanation:
I Don't Know If It's 250 because 250 Is Half Of 200, And Half Less Of 300, So I Guess It's 250? I Think I'm Wrong!
If a chicken has 4kg of corn, how many days will it last it if it eats 1/8 of a kg of corn a day.
I need full working
Answers
Answer:
32 days
Step-by-step explanation:
In a small library , there are 5 nonfiction books for every 9 fiction books There are 130 a . How many fiction books are there ?
Answers
Answer: 234
Step-by-step explanation:
If there are 130 nonfiction books, then there are 234 fiction books
. A car travels 605 miles in 11 hours. What is the average number of miles traveled per hour?
Answers
Answer:
55 miles per hour
Step-by-step explanation: You divide by the speed
605 miles/ (55 miles per hour)= 11 hours
hope this helped