Answer:
16
Step-by-step explanation:
Given the expression
x² — 8x + 7 = 10
To complete the square we need to add the half of the square of coefficient of x to both sides to complete the expression.
The coefficient of x is -8
Half of 8 = 1/2(-8) = -4
The square of 4 = (-4)^2 = 16
Hence the value that must be added to both sides to complete the square is 16
HELPPPP please
determine whether each number is a solution of the given inequality
2m-4 ≥ 10
Answer:
m = 7
Step-by-step explanation:
2m + -4 = 10
Reorder the terms:
-4 + 2m = 10
Solving
-4 + 2m = 10
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2m = 10 + 4
Combine like terms: -4 + 4 = 0
0 + 2m = 10 + 4
2m = 10 + 4
Combine like terms: 10 + 4 = 14
2m = 14
Divide each side by '2'.
m = 7
Simplifying
m = 7
-1 1/4 * 8 1/5
pls help
**Hope This Helps**
Exact Form:
-41/4
Decimal Form:
-10.25
Mixed Number Form:
-10/4
у – 5 = 3 – 9(у + 2)
How do I do this?
Answer:
Y=-1
Step-by-step explanation:
Y-5=3-9y-18
y+9y=3-18+5
10y=-10
y=-1
there is the answer ................................
Find the area of the hexagon.
Answer:
10 units
Step-by-step explanation:
There is a pile of rocks. When 4.6 tons are removed, the
remaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons
Answer:
9.5
Step-by-step explanation:
4.6+4.9= 9.5
t(r+4)=28 solve for t
pls help
Answer: 28/r+4
Step-by-step explanation: Divide each term by r + 4 and simplify
Answer:
t=28/r+7
Step-by-step explanation:
plz im not lying this work is really hard so can yall plz help me
Answer:
5,740 more minutes i hope this helps
Step-by-step explanation:
Complete the point-slope equation of the line through (-4, 8) and (4, 4).
Use exact numbers.
Answer:
y-4 = -1/2(x-4)
Step-by-step explanation:
Point slope form is y-y1 = m*(x-x1)
To find m, m=(y2-y1)/(x2-x1)
m=(4-8)/(4-(-4)) = -4/8 = -1/2
The equation is, y-4 = -1/2(x-4)
The equation of line is, [tex]y=-\frac{1}{2} x+6[/tex]
The equation of line is given in slope point form is,
[tex]y=mx+c[/tex] , where m is slope of line.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-8}{4+4}=\frac{-4}{8}=-\frac{1}{2}[/tex]
So, equation of line become,
[tex]y=-\frac{1}{2}x+c[/tex]
Since, above line passing through point (4, 4)
So that,
[tex]4=-\frac{1}{2}*4+c\\\\c=4+2=6[/tex]
Hence, equation of line is, [tex]y=-\frac{1}{2} x+6[/tex]
Learn more:
https://brainly.com/question/17003809
True or False: The FOIL method is an example of the distributive
property.
Answer:
True
Step-by-step explanation:
Answer: True
Step-by-step explanation:
Technically, you're distributing the expression in parentheses to the one in the other set of parentheses. Or in another way, you're distributing one number to 2 terms, then another, then the opposite way twice.
-6 + x = -5
4.
Pls help doing a test
Answer:
x=1
Step-by-step explanation:
Find the sum of -3/4+ -7/6
Answer:
-23/12 or -1.91666666667
HELP ME PLZ I WILL GIVE 30 POINTS!!!!!
What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
a.StartRoot 22 EndRoot ft
b.StartRoot 33 EndRoot ft
c.StartRoot 57 EndRoot ft
d.StartRoot 65 EndRoot ft
Answer:
d
Step-by-step explanation:
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² = 7² + 4² = 49 + 16 = 65 ( take the square root of both sides )
AB = \sqrt{65} → D
f(1)=−2 ,f(2)=−7 ,f(3)=−12 ,f(4)=−17, f(5)=−22 f(1)=−2 ,f(2)=−7 ,f(3)=−12 ,f(4)=−17, f(5)=−22
Write a recursive formula for the given sequence
Answer:
f(n) = -2 -5(n-1)
What are the intercepts of this function? F(x) = -8x + 4
Answer:
Step-by-step explanation:
Answer plssssswsswwwwwwasssssss
Answer:
the answers are 10, 6 and -2
PLZ HELP IDK WHAT THIS MEANS
Which of the following notations correctly describe the end behavior of the
polynomial graphed below?
Answer: Option B.
Step-by-step explanation:
In the graph we can see the graph of a quadratic equation (from this we could conclude that the graph will not change the current direction for the arms, so the arms will keep going down), and we also can see that as x increases in absolute value, the value of y decreases.
Then we could conclude that as IxI is really big, we will have that f(x) goes to minus infinity
x -->∞, f(x) --> -∞
x--> -∞, f(x) --> -∞
Then the correct option is B
Answer:
Option B!
Step-by-step explanation:
What is the slope of the line?
Answer:
-1.6
Step-by-step explanation:
m=y2-y1/x2-x1
(-4)-4=(-8)
4-(-1)=5
-8/5=(-1.6)
hope this helps :3
if it did pls mark brainliest
Determine the equation of the line that goes through the points (-2,1) and (1,-1) PLEASE HELP!!
Answer:
y= -2/3x + 8/3
do you really want a explanation?
Find the square root of ±144−−−√.
Answer:
±12
Step-by-step explanation:
Which of these skills are used in game design?
drawing OR artistic visualization OR project management OR all of the above
What is the slope of the line below?
Give an exact number.
will mark brainliest pls :)
do not scam :(
Answer:
I think -$111.21 soB i am really bad at math
Step-by-step explanation:
Which of the following systems of linear inequalities is represented by the
solution graphed below?
Answer:
C.
Step-by-step explanation:
We know it's y > 2 cuz the red line is y and it's dashed so its just > not > with a line under.
The blue line is solid so it's > with a line under. The blue line also represents y and the shaded region is above the line so its y > or equal x.
Hope that makes sense
The inequalities represented by the graph are; y < 2 and y >= x.
So option C is correct.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
Such values are called solution to that equation or inequality.
The Set of such values is called solution set to the considered equation or inequality.
The graph as shown in the task content includes the horizontal line; y = 2 and the line; y = x.
However, the area shaded in the graph coincides with the upper area of y = 2 with broken lines as boundary and the lower area of line; y = x with a solid boundary line.
Hence, The inequalities represented by the graph are; y < 2 and y >= x.
So option C is correct.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ2
6xy3
The degree of 6xy is
Answer:
the answer is 4 hope this is what your looking for..
Equity in your home = fair market value - outstanding balance. If your home is worth $125,000 and you have an outstanding balance of $36,000, what is your equity?
Answer:
89,000 I think
Step-by-step explanation:
just subtract 125,000 by 36,000
although Its a guess
Answer:
$89,000
Step-by-step explanation:
To find your equity, subtract the outstanding balance from your home value:
125,000 - 36,000
= 89,000
So, your equity is $89,000
10. Triangle A and triangle B are similar. The perimeter of triangle A is 15 m and the perimeter of
triangle B is 30 m. What is the ration of the perimeter of triangle B to the perimeter of triangle
A?
02:1
3:1
3:2
5:3
Someone help please is it A?
Answer:
2:1
Step-by-step explanation:
I think I'm not 100 percent sure
Solve 4(t - 7) = 12 - t *
how can I solve this ?
Answer:
t = 8
hope it help you
thanks!
ans correct and get points!!
find angle with letters
Answer:
a 34
b 134
c 140
Step-by-step explanation:
a) 180 - 146 = 34
b) 180 - 46 = 134
c) 180 - 40 = 140
do y’all know how to do this...help please:)
Answer:
I recommend using a graph that can help. For slope afind two solid points and make it a fraction. Y intercept is where it passes through the y axis.
Step-by-step explanation:
What is the inverse of this function?
Answer:
[tex]f^{-1}(x)=4x^2-3[/tex]
Step-by-step explanation:
The Inverse of a Function
Given a function f(x), the inverse of f, called [tex]f^{-1}(x)[/tex] is a function that satisfies:
[tex]f(f^{-1}(x))=x[/tex]
The domain of f becomes the range of its inverse and vice-versa.
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
* Swap the variables
We are given the function:
[tex]\displaystyle f(x)=-\frac{1}{2}\sqrt{x+3}[/tex]
Defined in the interval x ≥ -3
Note f is always negative, thus its range is f(x) ≤ 0
Now we find the inverse. Call y=f(x):
[tex]\displaystyle y=-\frac{1}{2}\sqrt{x+3}[/tex]
Multiplying by 2:
[tex]\displaystyle 2y=-\sqrt{x+3}[/tex]
Squaring both sides:
[tex]\displaystyle 4y^2=x+3[/tex]
Subtracting 3:
[tex]\displaystyle 4y^2-3=x[/tex]
Swapping variables:
[tex]y=4x^2-3[/tex]
Thus:
[tex]\mathbf{f^{-1}(x)=4x^2-3}[/tex]
The domain of the inverse is the range of f, thus x is restricted to
x ≤ 0
