Answer:
The length is 4
Step-by-step explanation:
Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?
Answer:
$5 and $3
Step-by-step explanation:
Cost of banana split = b
Cost of hot fudge sundae = s
b + 2s = 114b + 3s = 29From the first equation we get:
b = 11 - 2sReplacing in the second equation:
4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3Then
b = 11 - 2*3 = 11 - 6 = 5So banana split costs $5 and hot fudge sundae costs $3
If the measures of the angles in the following triangle were listed in increasing order, which measure would be second? (2x+24) ° (4x+43) ° (x^2+1) °
Answer:
x²+1 is the second
Step-by-step explanation:
2x+24=40°
4x+43=75°
x²+1=65°
(2x+24) + (4x +43) + (x²+1)=180
x²+6x+68=180
x1=-14
x2=8
since there's no negative angle, we'll use x=8
‼️Please help‼️
Find the value of x and RT if RS=24 cm
RS = RT + TS = 24 cm
Let's plug our values into the equation above
24cm = 6x - 4 + 10cm
Combine like terms
24 cm = 6x + 6 cm
Subtract 6 cm from both sides
18 cm = 6x
Divide both sides by 6
3 = x
Plug 3 into the expression for RT
RT = 6(3) - 4 = 18 - 4 = 14 cm
Similarly, we know that TS = 10 cm and RS = 24 cm
24 cm - 10 cm = 14 cm
RT = 14 cm
14 cm = 6x - 4
Add 4 to both sides
18 cm = 6x
Divide both sides by 6
3 = x
10 times 1200000000000000
Answer:
1.2e+16
hope it helps :)
Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20
Answer:
0
Step-by-step explanation:
20 cancels itself out so
-4x = x
-4x - x = 0
-5x = 0
divide both sides by -5x
x= 0 but we don't write it out
For the equation -4x+20 to have infinite solution , it should be equal to
-4x+20 = -4x+20 , so the blank value is -4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be -4x+20 = blank x + 20
Now ,
If the lines are coincident and have the same y-intercept, an endless solution can be generated.
The two lines with the same y-intercept and slope are the same line.
If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.
So , Both the equations should be equal for it to have infinite solutions
Therefore , -4x+20 = -4x+20
Hence , the value of the blank is -4
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
3. There are 15 members in student council. Each member must pay a yearly due
of$22.50. During the first month of school 6 members paid their yearly dues. The
remaining members paid their dues in the second moth of school. How much
money was collected in dues during the second month of the school year?
Answer:
202.50 was collected in the second month of school
Step-by-step explanation:
thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50
PLEASE HELP ITS EASY suppose you are converting x kilograms to ounces. will the number of oz be less than or greater than x?
Answer:
greater
Step-by-step explanation:
greater beacause 1 kilo =35.274 ounce
what is
-4|5+m|
[tex]m = - 3[/tex]
Steps to solve:
-4|5 + m|
~Substitute
-4|5 - 3|
~Simplify
-4|2|
~Multiply
-8
Best of Luck!
-3 - 3x = -4(2x + 7)
Answer : x=−5
Step-by-step explanation: Step 1: Simplify both sides of the equation.
−3−3x=−4(2x+7)
−3+−3x=(−4)(2x)+(−4)(7)(Distribute)
−3+−3x=−8x+−28
−3x−3=−8x−28
Step 2: Add 8x to both sides.
−3x−3+8x=−8x−28+8x
5x−3=−28
Step 3: Add 3 to both sides.
5x−3+3=−28+3
5x=−25
Step 4: Divide both sides by 5.
5x /5 = −25 /5
x=−5
Answer:
x=−5
Please help me out people! Probability I guess!..........................................................................................................................................................there are 10 marbles. you get two out of the bag. how much percent of the marbles did you take out?
Answer:
20%
2 out of 10 marbles is 2/10.
Convert 2/10 to a percentage.
2/10 = 20%.
The answer is 20%. Hope it helps!
Answer:
20 percent
Step-by-step explanation:
I can't get the percentage sign . lol
Resolved
1. 2(y+4) +4 (2y+2)
Answer:
10y+16
Step-by-step explanation:
Distribute and combine like terms
Find the height of triangle whose are is 1500m2 and base 7.5 cm
Answer:
x = 400 m^2
Step-by-step explanation:
[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]
give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?
Answer:
0
Step-by-step explanation:
The price to mail a letter at the post office is $0.49 for the first ounce
and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter.
How much did the letter weigh?
solve this equation 3/10x-4=40-2x
I Am Pretty Sure The Answer Is x=440/23
Hope This Help's
Write -2.32 as a mixed number in simplest form.
Answer:
- 2 8/25
Step-by-step explanation:
Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)
Answer:
-2.32 as a mixed number is -2 32/100 = -2 8/25
Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)
Answer:
[tex]MP= (-2,1 )[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]
A small toy car costs $3 a large toy car costs 5 times as much as the small one Aaron want to buy 1 of each which equation can be used to find the cost a of the 2 cars
Answer:
$18
Step-by-step explanation:
small -$3
large - $15
3+15=18
Answer: The equation is $3 + ($3 x 5)
Step-by-step explanation:
You add $3 to 3 multiplied by 5 to get the cost of the second car which will then give you the cost of both cars. Then you simplify and get $3 + $15 which gives us the answer $18. So the cost of both the cars is $18.
Please help me with this!
HELP I WILL GIVE BRANLIEST What is the slope of the line in the graph?
Answer:
the solpe is 1x or just x
Step-by-step explanation:
rise over run both are 1
Answer:
[tex]\boxed {\tt m=1}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:
[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]
Substitute the values into the formula.
[tex]m=\frac{5-2}{4-1}[/tex]
Solve the numerator. Subtract 2 from 5.
[tex]m=\frac{3}{4-1}[/tex]
Solve the denominator. Subtract 1 from 4.
[tex]m=\frac{3}{3}[/tex]
Divide 3 by 3.
[tex]m=1[/tex]
The slope of the line is 1.
if 18 more than twice a number is -10,what is the number?
Answer:
-14
Step-by-step explanation:
Let the number be x
[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]
does 3 times 9.99 give me 29.97?
Answer:
Yes it does.
Step-by-step explanation:
Answer:Simple and best practice solution for 9.99 is what percent of 29.97. Check how easy it is, ... 100=3*x - we divide both sides of the equation by (3) to get x 100/3=xno it does not
Step-by-step explanation:
pleaseeeeeeee help me
Answer:
by my best guess, x = -5 (negative five)
Step-by-step explanation:
please tell me what x is 3(x+6)=48
Answer
X=10
Step by step explanation
48÷3 = 16
16-6 = 10
Find the value of each variable (x in this case)
2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.
2x + 4x + 108 = 180
Combine like terms
6x + 108 = 180
Subtract 108 from both sides.
6x = 72
Divide both sides by 6
x = 12
Hi, I need help answering 7x+5x+1=73 and I keep getting it wrong. HELP!!
Answer:
x = 6
Step-by-step explanation:
7x+5x+1=73
12x+1=73
12x=72
x= 6
Find the value of x that will make L || M
Answer:
The value of x = 7 to make lines L and M parallel.
hey how do you do this problem
How can parallel lines be used to compare figure E and F? Explain your reasoning.
This table displays the height of a balloon as it floats away.
A 2-column table with 6 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13, 14, 15. Column 2 is labeled Height (feet) with entries 64, 73.5, 83, 92.5, 102, 111.5.
What is the rate of change for the height as the time increases by 1 minute?
Rate of change =
Answer:
The rate of change is 9.5 ft/min
Step-by-step explanation:
every minute the balloon rises in 9.5 feet increments
Answer:
its 9.5
Step-by-step explanation: