Answer:
[tex]\sqrt{89}[/tex]
Step-by-step explanation:
You want to use the distance formula which is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So if you just plug in the numbers correctly and solve correctly then you should get [tex]\sqrt{89}[/tex]
Find the value of a and b when a+b = -5, ab = -24
Step-by-step explanation:
a= - 5 - b
Subs. the above into...
ab = - 24
(-5-b)b = - 24
Therefore b=-24 or b=19
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
a + b = - 5 → (1)
ab = - 24 → (2)
Rearranging (1) expressing a in terms of b, that is
a = - 5 - b → (3)
Substitute a = - 5 - b into (2)
b(- 5 - b) = - 24 ← distribute left side
- 5b - b² = - 24 ( subtract - 5b - b² from both sides )
0 = b² + 5b - 24 ← in standard form
0 = (b + 8)(b - 3) ← in factored form
Equate each factor to zero and solve for b
b + 8 = 0 ⇒ b = - 8
b - 3 = 0 ⇒ b = 3
Substitute these values into (3) for corresponding values of a
b = - 8 : a = - 5 - (- 8) = - 5 + 8 = 3
b = 3 : a = - 5 - 3 = - 8
Thus
a = 3, b= - 8 or a = - 8, b = 3
-34 -2p = 8(8 - 2p)
Answer:
p = 7
Step-by-step explanation:
Look at the picture hope this helps!
You guys please help with my most recent questions! I’m not the smartest Ik
Answer: i will help you the best that I can! :)
1 If one leg of a right triangle is 3 meters, and the hypotenuse is 5 meters, what is the length of the
missing leg?
i'm gonna assume that "leg" refers to length of the triangle, so comment if you think it is wrong.
Now when it comes to a right-angled triangle, the pythagoras theorem formula can be used.
Using algebra,
let the missing length be X.
By pythagoras theorem,
5² = 3² + X²
5² - 3² = X²
X² = 5² - 3²
X = sq root ( 5² - 3² )
= 4 m
Therefore, the length of the missing leg is 4m .
Solve the equation. Then check your solution.
6= -2(10n + 7)
A. 1
B 0.4
C. -1
D. 0.05
2+3x=8 Solve for X?
Answer:
x=2
Step-by-step explanation:
Simplify:
7x + 5 - 4x - 16
Solve for a
6=a/4+2 Steps please ❤️
Answer:
a = 16
Step-by-step explanation:
6 = a/4 + 2
Switch sides.
a/4 + 2 = 6
Subtract 2 from both sides.
a/4 = 4
Multiply both sides by 4.
a = 16
A 3-column table with 4 rows. Column 1 is labeled a with entries 1, negative 1, negative 4, negative 6. Column 2 is labeled b with entries 2, negative 2, 1, negative 3. Column 3 is labeled Distance with entries 1 unit, X, Y, Z. A number line going from negative 7 to positive 3. Distance is the number of units between two integers. Use number line to find the distance between each pair of integers.
Answer:
Distance is the number of units between two integers. Use number line to find the distance between each pair of integers.
X = 1
Y = 5
Z = 3
Step-by-step explanation:
its easy lol
Answer:
X = 1
Y = 5
Z = 3
or 1 5 3
Step-by-step explanation:
I’ve done this 3 different way and I’m still getting it wrong someone help I feel dumb
note: remember to take the comma out or ignore it. I put it in there to help make the number more readable
===========================================
Explanation:
Let x be the value of the sale in dollars.
x-1900 represents the leftover amount that is over 1900
eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount
taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)
-------------
Solve for x
0.09(x-1900) = 1000
x-1900 = 1000/0.09
x-1900 = 11,111.11111 approximately
x = 11,111.11111 + 1900
x = 13011.1111
x = 13,011.11 rounding to the nearest cent
Cierto banco emplea 59 personas en dos sucursales. De esta gente, 27 son universitarios graduados. Si una cuarta parte de las personas que laboran en la primera sucursal; y tres quintos de los que se encuentran en la segunda sucursal, son universitarios graduados, ¿cuántos empleados tiene cada sucursal?
Answer:
HI
Step-by-step explanation:
What set(s) of numbers does 5 belong to?
Step-by-step explanation: For example, 5 can be written as 5/1. The natural numbers, whole numbers, and integers are all subsets of rational numbers.
Please simplify! x+9=21+3x-4+10
Answer:
-9
Step-by-step explanation:
Step 1 : Put like terms together
x + 9 = 21 + 3x - 4 + 10
Subtract 3x on both sides
-2x + 9 = 21 - 4 + 10
Subtract 9 on both sides
-2x = 21 - 4 + 10 - 9
Simplify
-2x = 18
Step 2 : Divide
[tex]\frac{-2x}{-2}[/tex] = [tex]\frac{18}{-2}[/tex]
x = -9
Answer:
x= -9
Step-by-step explanation:
- Put all the same signs together
x-3x = 21-4+10-9
*Quick tip:
-when you cross a sign with a number or without a number over the equal
sign you have to change the sign (positive to negative and negative to
positive.
-x and 1x is the same thing
- Calculate small sections by small sections
-2x = 17 + 1
-2x= 18
-2/-2x = 18/-2
x= -9
I need the answer ASAP
102) Find the price of one marker if four
markers cost $11.36.
help asap please!!!
Answer $2.84
Step-by-step explanation:
11.36 divided by 4
Answer:
$2.84 a marker divide $11.36 by the number of markers to get the answer $2.84
equation of a line, use the slope intercept formula for points (3,-6) and (5,8) including a check.
please help me learn instead of telling me the answer :)
i’ll show u what i have so far
Answer:
y=7x-27
Step-by-step explanation:
The equation of a line is given by y=mx+C where m is the gradient of the line or slope and c is the intercept on your axis. according to your question, you are given two point on (3,-6) and (5,8). so we can get the gradient m= Y2-Y1/X2-X1= gradient. so Y1= -6, Y2=8 , X1=3, X2=5
slope= 8-(-6)/5-3=14/2=7. so m=7....so the equation of line can be written in form y=7x+C. but we need to find C. C can be gotten from where the line passes through (3,-6) that is when x=3, y=-6. so we can find C from that point. -6=7(3)+C..so we have -6=21+C. C=-6-21=-27
so the equation of the line is y=7x-27
What does a function return?
O a procedure
O a routine
O a value
O a subroutine
Answer:
A value
Step-by-step explanation:
Whenever you input a number x into function f(x), you should get an output of y. That means that the function should return a number value.
Answer:
c
Step-by-step explanation:
on edge
look at image. reflection across y= -2
Answer:
S is -2,-3 r -3,-4 R 0,-5
Step-by-step explanation:
is the reflection points :)
Write an integer expression using absolute value symbols to represent the verbal expression.
-the absolute value of negative eight-
Enter the correct answer in the box.
Answer:
[tex]Absolute\ Value = 8[/tex]
Step-by-step explanation:
Given
Digit = -8
Required
Determine the absolute value
The absolute value is calculated as follows;
[tex]Absolute\ Value = |Digit|[/tex]
Substitute -8 for Digit
[tex]Absolute\ Value = |-8|[/tex]
And it returns the positive of its input;
So
[tex]Absolute\ Value = 8[/tex]
hello can you help me, thank you!!
Answer:60.58
Step-by-step explanation:add the first numbers 64.67 take that from 125.25 and u got 60.58
Answer:
60.58
Step-by-step explanation:
Subtract the first 2 numbers which equals 64.67 then subtract 64.67 and 125.25 and you get... 60.58
please brainliest??
Which equation represents this sentence? One-half the sum of a number and four is three less than the quotient of five and the number. 12n+4=5n−3 12(n+4)=5n−3 12n+4=3−5n 12(n+4)=3−5n
Answer:
Step-by-step explanation:
"one half the sum of a number and 4" is (1/2)(n + 4)
"three less than the quotient of 5 and the number" is 5/n - 3
putting this all together, we get
(1/2)(n + 4) = (5/n) - 3
Answer:
b.) 1/2(n 4)=5/n−3
Step-by-step explanation:
Debbie is running to raise money for a fundraiser. If her goal is to run 56 miles , how many days will debbie need to run if she runs 1.75 miles everyday
Answer:
32 days.
Step-by-step explanation:
56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.
How do I wrote Five less than the quotient of a number and 3 is -7
the answer is 3/n - 5 = -7
What is 18.84 rounded to the nearest 10th
18.84 rounded to the nearest tenth is 18.8.
Rounding to place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We can see that round a number to the nearest tenth, we need to look at the digit in the hundredth place. In this case, the number is 18.84.
Therefore, digit in the hundredth place is 4.
If the digit in the hundredth place is less than 5, we round down to the previous tenth. If it is 5 or greater, we round up to the next tenth.
Since 4 is less than 5, we round down. Therefore, 18.84 rounded to the nearest tenth is 18.8.
Learn more about rounding numbers here:
brainly.com/question/1285054
#SPJ6
Write a mathematical expression to model the following situations.
15. The total cost of a meal, when the price of a pizza is $5 and the price of breadsticks is $3.
16. The total number of wheels in a parking lot, when a car has 4 wheels and a motorcycle has 2 wheels.
17. The total number of legs of insects in a field, when a spider has 8 legs and a cricket has 6 legs.
Answer:
The expressions are as follows:
$5+$3=$84+2=68+6=14Remember whenever it's written total it means you have to do addition. Hope it helps you.
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fog)(x)?
Answer:
(fog)(x) = f(g(x)) = 3(x^2 + 1 ) + 2
Step-by-step explanation:
For this problem, you simply need to understand the notation (fog)(x) is equivalent to f ( g ( x ) ). This means you simply plug the function g(x) into each x within the function of f(x). Let's do this:
f(x) = 3x + 2
g(x) = x^2 + 1
f(g(x)) = 3(x^2 + 1 ) + 2
(fog)(x) = f(g(x))
Cheers.
can you please tell me the ans with the process
Answer: d) 6 e) 10 g) 900
Step-by-step explanation:
d) [tex]\sqrt{9610} = 98.0306[/tex]
98² = 9604
9610 - 9604 = 6
e) [tex]\sqrt{2906}=53.9073[/tex]
54² = 2916
2916 - 2906 = 10
g) 10 12 15
∧ ∧ ∧
2·5 2·2·3 3·5
The Perfect square is: 2² · 5² · 3² = 30²
30² = 900
Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 and the total cost of the order was $57. What was the price of each cupcake?
Let's use an equation to solve this problem.
[tex]y=24x+16[/tex]
Where x is the price of each cupcake, y is the total cost, 16 is the price of the layer cake, and 24 is the number of cupcakes.
[tex]57=24x+16[/tex]
[tex]41=24x[/tex]
[tex]x=\frac{41}{24}[/tex]
Which simplifies around to $1.71 dollars.
Hope this helps.
頑張って!
How would I solve this?
(3x-4) - (4x-1)
Answer:
-x - 3
Step-by-step explanation:
(3x - 4) - (4x - 1) =
The first set of parentheses is unnecessary, so you can just remove it.
= 3x - 4 - (4x - 1)
To remove the second set of parentheses, you must distribute the negative sign to its left by the terms inside the parentheses. To do this, change every sign inside the parentheses.
= 3x - 4 - 4x + 1
Now combine like terms. Terms with x are like terms and are combined together. Therms without x are like terms and are combined together.
= 3x - 4x - 4 + 1
= -x - 3
help me plspslsplpsl 42x^2+34-8-12
[tex]\bf Step-by-step~explanation:[/tex]
[tex]\bf Step~1:[/tex]
To solve this, we have to simplify these numbers by adding like terms.
[tex]42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\[/tex]
[tex]\bf Step~2:[/tex]
Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.
[tex]\frac{42}{14} =3[/tex]
[tex]\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}[/tex]