Just need the blank answers
Answer:
(x+1)(x-1) and x = -1, 1, 2
Step-by-step explanation:
x^2 - 1 factors to (x+1)(x-1)
x+1 = 0; x = -1
x-1 = 0; x = 1
x-2 = 0; x = 2
What is the distance between the following coordinates? Show work.
(5, -6) and (3, 4)
SHOW WORK
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}} \: \: \text{units} } } [/tex]
♁ Question :Find the distance between ( 5 , -6 ) and ( 3 ,4 ).♁ Step by step explanation:Let the points be A and B. Now,
Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).
[tex] \boxed{ \underline{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}}[/tex]
Substitute the actual value of the points into the distance formula and then simplify.
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]
Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]
Remember : ( - ) × ( - ) = ( + )
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 + 6)}^{2} } }}[/tex]
Add the numbers : 4 and 6
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(10)}^{2} } }}[/tex]
Evaluate the power
[tex] \longrightarrow{ \sf{ \sqrt{4 + 100}}} [/tex]
Add the numbers : 4 and 100
[tex] \dashrightarrow{ \sf{ \sqrt{104}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}}[/tex] units
Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is [tex] \sf{2 \sqrt{26}} [/tex] units .
And we're done!
Hope I helped!
Have a wonderful time ! シ
~TheAnimeGirl
The diagram shows a triangle.
19c+16°
13c
17c+17°
What is the value of c?
c =
°
Answer:
c=3
Step-by-step explanation:
Angle sum of a triangle is 180°
(19c+16)°+13c°+(17c+17)°=180°
collect the like terms i.e
19c+13c+17c+16+17=180°
49c°+33°=180°
49c°=180°-33°
49c°=147
dividing by 49 both sides
49c/49=147/49
c=3
What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?
Answer:
y + 5 = 2(x - 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 2 and (a, b) = (5, - 5) , thus
y - (- 5) = 2(x - 5) , that is
y + 5 = 2(x - 5)
Please help! -3n+147=0
Answer:
n = ±7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving quadraticsStep-by-step explanation:
Step 1: Define equation
-3n² + 147 = 0
Step 2: Solve for n
Subtract 147 on both sides: -3n² = -147Divide -3 on both sides: n² = 49Square root both sides: n = ±7The temperature increases from 18° F to 27° F.
What is the percent increase of the temperature?
A
3%
B
9%
С
33%
D
50%
The percent increase in the temperature is 50%.
To understand more, check below explanation.
Percentage increase:The temperature increases from 18° F to 27° F.
Increase in temperature = 27 - 18 = 9
The percent increase in the temperature is computed as,
[tex]=\frac{27-18}{18}*100\\ \\=\frac{9}{18}*100\\ \\=\frac{1}{2}*100=50\%[/tex]
Learn more about the percentage here:
https://brainly.com/question/24304697
Hi, anyone able to help with qn 7? Thanks :)!
Answer:
Step-by-step explanation:
I used the quadratic formula to find the roots of [tex]x^{2} + x -1[/tex]
[tex]a=\frac{-1-\sqrt{5}}{2} b=\frac{-1+\sqrt{5} }{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} )^{2} * \frac{-1+\sqrt{5}}{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}}{2}*(\frac{-1-\sqrt{5}}{2} )[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}-\sqrt{5} -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{ -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * -1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} }*-1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} } = \frac{\sqrt{5}+1 }{2\sqrt{3} }[/tex]
A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in.3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide?
Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]
Volume of given rectangular prism = [tex]12 in^3[/tex]
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]
[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
3 inches
Step-by-step explanation:
How can you use a table to determine whether the relationship between two quantities is proportional?
Answer:
no
Step-by-step explanation:
no
Which choice is equivalent to the fraction below x>=3?
Answer:
Answer: D. 2(V[x} + V{x - 2}) Step-by-step explanation: As hinted in the question, we have to simplify the denominator. To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x? - y, right? Check the next line: (x - y) (x + y) = x² + xy -xy - y? = x² - y? If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values: 4 x-2 x+Vx-2 x-2 4(Va+v-2) (V#)² -(væ–2)² Then we simplify: 4(va+væ-2) 4(Va+va-2) (Væ)2-(Va-2)2 2(Va + Va – 2) 4(va+va-2) (x) -(x-2) 2 Answer is D. 2(V{X} + v{x - 2})
what5 is 12.4 x -1.35
Answer: -16.74
Step-by-step explanation:
Answer:-16.74
Step-by-step explanation:
Which word best describe reflection
A.Line of symmetry
B.Mirror-image
C.identical
D.All of the above
Answer:
B
Step-by-step explanation:
Which word best describe reflection
A.Line of symmetry
B.Mirror-image
C.identical
D.All of the above
is this vertical or alternate exterior
Helps me solve this problem please
Answer:
A.
Step-by-step explanation:
You just plug in the numbers
y = x - 7
-5 = 2 - 7
- 5 = - 5
This makes this equation true.
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.
Which graph can be used to find the solution of the following system of equations?
Answer:
A
Step-by-step explanation:
1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.
[tex]2y-2x=10[/tex]
[tex]2y=2x+10[/tex]
[tex]y=x+5[/tex]
So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.
I hope this helps!
(5i-3)(9i+1)
Answer must be in standard form
Answer:
-48-22i
Step-by-step explanation:
Patti ran the race in 8.4 minutes. Maisha ran it in 8.04 minutes. How does the value of 4 in Maisha's time compare with the value of 4 in Patti's time?
Answer:
Maisha ran the race in .36 seconds faster than Patti.
8.4 - 8.04 = .36
Date
Page
A rectangular meadow has an area of 28 square
meter and perimeter 22 m, find the length and breadth.
Answer:
perimeter =22m
area=28square meter
perimeter of rectangle=4l
22m=4l
22÷4=l
5.5=l
l=5.5m
area of rectangle =l×b
28=5.5×b
28÷5.5=b
5.09=b
b=5.09m
length =5.5m and breadth =5.09m answer !!!!
How many even integers are there between -4 and 4 ?
F. 1
G. 3
H. 4
J. 5
K. 7
Answer:
( -2,0,2 ) three
Step-by-step explanation:
HOPE THIS HELPS
1-2 Attributes of Functions
Find the domain, range, and intercepts of the function f (x) = 7x + 11
O A
OB.
domain: (-00,00) ; range:
domain: (-00,00) ; range: (–00,00) ix-intercept: (11,0) : v-intercept: (0, - 2)
[-4,11] :x-intercept: (11,0) : vintercept: (0, - )
[- 4,0] :x-intercept: ( - 4,0) : v-intercept:(0, 11)
domain: (-00,00) + range: (–00,00) : x-intercept: (- 4,0) : vintercept:(0, 11)
C.
domain: (0, 11] : range:
D.
Given:
The function is
[tex]f(x)=7x+11[/tex]
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
[tex]f(x)=7x+11[/tex]
It is a linear function, and domain and range of these types of functions are all real numbers.
[tex]Domain:(-\infty,\infty)[/tex]
[tex]Range:(-\infty,\infty)[/tex]
Put x=0 in f(x), to find the y-intercept.
[tex]f(0)=7(0)+11[/tex]
[tex]f(0)=0+11[/tex]
[tex]f(0)=11[/tex]
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
[tex]0=7x+11[/tex]
[tex]0-11=7x[/tex]
[tex]-11=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{-11}{7}=x[/tex]
So, the x-intercept is [tex]\dfrac{-11}{7}[/tex].
Therefore, [tex]Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),[/tex] [tex]y-intercept :11[/tex].
I need to graph the points where the line crosses the axes. Also a basic explanation of how to do so would be helpful
Answer:
(0,6) and (-2, 0)
Step-by-step explanation:
All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.
In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).
Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.
using this information, we can substitute y in the equation with 0 becoming
0 = 6 + 3x
now we can solve for x.
0 -6 = 3x
-6 / 3 = x
x = -2
the coordinate is (-2, 0)
What is the product of 0.4 and 0.9
Answer:
0.36
Step-by-step explanation:
0.4=4/10
0.9=9/10
9/10 times 4/10= (9 times 4)/(10 times 10)=36/100=0.36
Another way you could've done it was to see that since there are 2 decimal points there, the product would also have to have 2 decimal points.
Answer:
.36
Step-by-step explanation:
Write an equation in point -slope form with given information
slope is -5
point at (-3,8)
Answer:
Step-by-step explanation:
If we know the slope and a point, we can easily write it in point-slope form
[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]
find exact value for cos( theta) if sin(theta)=0.25 , 90
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
Nancy has to find the reflection of point A across the y-axis. In the graph, which point is the reflection of the point A across the y-axis? What are the coordinates of the reflection? In which quadrant is the reflection located?
Answer:
Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.
Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.
Step-by-step explanation:
(Got this right off Edmentum so it's correct)
(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)
Identify the independent and dependent variable for the given situation. D = 5t
Answer:
d = dependant; t = independant
Step-by-step explanation:
The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.
Answer:
[tex]D[/tex] = dependent; [tex]t[/tex] = independent
Step-by-step explanation:
[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].
[tex]t[/tex] is the independent variable since it is the input variable which can be changed.
Hope this helps :)
The point plotted on the number line is What is the approximate value of x? 04 O 9 O 17 O 20
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[tex] \sqrt{17} ≈4.1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option Three .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
C
Step-by-step explanation:
How much do you need to subtract from 43/10 to make 4?
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[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10
2x - 6y = - 24 and x + -5y = -22
by substitution
Answer:
2x-6y=-24
2x=-24+6y
x=-24+6y÷2
x=-12+3y equation 1
x+(-5y)=-22
-12+3y-5y=-22
-13-2y=-22
-2y=-22+13
-2y=-9
y=-9÷2
y=4.5equation 2
putting value of equation 2 in equation 1
x=-12+3y
x=-12+3×4.5
x=-12+13.5
x=1.5 answer!!!