-6 + 7k = -7(1 - k) solve this equation with 1 answer please
Answer: 13
Step-by-step explanation:
-6 + 7k = -7(1 - k)
(-7 x -1 = 7)
(-7 x -k = 7)
-6 +7k = 7+7k
7k-7k = 6+7
k = 13
( 0 always equals to the pronumeral given
prove that underroot 3-underroot 5 is irrational.
Please quickly I need this answer
Answer:
See Explanation
Step-by-step explanation:
Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.
So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.
[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]
[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]
[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]
Squaring both sides:
[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]
[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]
[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]
[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]
[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]
[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]
[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]
Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.
[tex]\therefore \sqrt 5 [/tex] is also rational.
But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.
Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.
[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.
PLEASE HELP!
Write the equation of a parabola with focus (−2,4) and directrix = 6.
SHOW YOUR WORK!!
In the diagram, the measure of angle 8 is 124º, and the measure of angle 2 is 84°
Answer:
whats the question?
Step-by-step explanation:
Answer:
Angle 7 = 56 °
Step-by-step explanation:
Angles 8 and 7 = 180 degrees
To get the degree of angle 7 subtract 124 from 180
180 - 124 = 56 degrees
Angle 7 = 56 degrees
HELP IM SORRY PLESAADNSKSKSNX
Answer:
hey, what is your question?
Step-by-step explanation:
Answer:
wheres the question
Step-by-step explanation:
b.
Assume the trend in the numbers of users tripling each year was true for all years from 2001 to
2009. Complete the table below using 2005 as year 1 with 3 million as the number of users that
year.
-3
-2
-1
0
1
2
3
4
5
Year
# of
users in
millions
3
2(x - 9) = 10 can somebody solve this please using a method
Answer:
x=14
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
2(x - 9) = 10
2x - 18 = 10
add 18 o each side of the equation:
2x = 28
divide both sides by 2:
x = 14
What are the answers I will give brainlyest
Answer:
The answer to number 7 is x=4
Express as a trinomial.
(3x+8)(x + 6)
Answer:
multiply 3x by x then multiply 8 by 6 and get 48. since 8 and 6 are products of 48 they give a sum of 14 therefore your trinomial is
3x²+14x+48
Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
Write an expression that is equivalont to 4(5+2)-3h,
Answer:
28 - 3h
Step-by-step explanation:
We must do the work seen inside parentheses first.
Thus, we havve 4(7) - 3h, which simplifies to
28 - 3h
On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2).
What is the area of triangle ABC?
2.5 square units
3 square units
3.5 square units
4 square units
Answer:
It is B. 3 square units, i took the test and got a 100%
Step-by-step explanation:
edge2021
The area of the triangle on a coordinate plane is 3 square units option (B) 3 square units is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a triangle on a coordinate plane shown in the picture.
Triangle ABC has vertices A, B, and C at (0, 0), (3, 4), and (3, 2).
As we know, the area of the triangle is given by:
Area = (1/2)heightxbase length
Or
Area = (1/2)ADxBC
Area = (1/2)3x2
Area = (6/2)
Area = 3 square units
Thus, the area of the triangle on a coordinate plane is 3 square units option (B) 3 square units is correct.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ5
Can someone do this plsssss I need it for right now
Answer:
C
Step-by-step explanation:
If you count the hours by how much each answer choice is giving you, you will get the answer. (First job is 4 hours and a few mins. Answer choice C is $6 an hour. So 4 times 6 is 24 plus the extra minutes.)
Solve for x and y simultaneously if:
x+4=2y and y2-xy+21=0
Answer:
Step-by-step explanation:
x=−10, y=−3
x=10, y=7
y=7,x=10
y=−3,x=−10
what is the difference between 479,310 and 214,991?
Answer:
264,319
Step-by-step explanation:
A difference is a subtraction problem.
Subtract 214,991 from 479,310.
479,310 - 214,991 = 264,319
Solve for z: 10 = 2 = -25(4z -3)
Answer:
z = 13/20
Step-by-step explanation:
The steps are in the pictures below!
A rectangular front porch has a perimeter of 46 feet. Its area is 126 square feet. What are
the dimensions of the porch?
Answer:
9ft by 14ft
Step-by-step explanation:
Area:
9 x 14 = 126
Perimeter:
9 + 9 + 14 + 14 = 46
Which one is the correct one
Step-by-step explanation:
Sum of opposite angles are supplementary,
x + 60 + 3x = 180
4x + 60 = 180
4x = 180 - 60
4x = 120
x = 120 / 4
x = 30
Solve the following inequality
x−3>7
Question 3 options:
x>10
x<10
x>4
x<4
Answer:
x>10
Step-by-step explanation:
x-3>7
x>7+3
x>10
(When switiching sides, you do the opposite operation hence you add 3 when it goes onto the other side)
Hope it helps!
Answer:
x > 10
Step-by-step explanation:
x - 3 > 7
+ 3 +3
x > 10
A circle is centered on point B. Points A, C and D lie on its circumference.
If ZABC measures 40°, what does ZADC measure?
Given:
A circle is centered on point B.
Points A, C and D lie on its circumference.
If [tex]m\angle ABC[/tex] measures 40°.
To find:
The [tex]m\angle ADC[/tex].
Solution:
Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.
In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.
Using central angle theorem, we get
[tex]m\angle ABC=2m\angle ADC[/tex]
[tex]40^\circ=2m\angle ADC[/tex]
[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]
[tex]20^\circ=m\angle ADC[/tex]
Therefore, the measure of angle ADC is 20°.
-1/2x - 3 =4
which is the value of x?
Answer:
x = -14
(っ◔◡◔)っ ♥ Hope It Helps ♥
Answer:
-14
Step-by-step explanation:
-1/2x - 3 = 4
-1/2x = 4 + 3
x = 7 * -2
x = -14
Which number line represents the solution for 5x greater than 30
It's G bc of the full dot and the line going up.
BRAINLY TO WHOEVER HELPS
Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10
Answer:
A, C and D
Step-by-step explanation:
B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go
3x+3=108 PLSSS help Giving brainliest!!
Answer:
x=35
Step-by-step explanation:
3x+3=108
3x=108-3
3x= 105
x= 105/3
x=35
select ALL the answers that are correct.
Answer:
A,C
Step-by-step explanation:
PLZZZ HELPPPP, How many 2 inch cubes will fit into the box below if it is filled completely full?
Answer:
30 cubes
Step-by-step explanation:
10 x 4 x 6 = 240 in³
2 x 2 x 2 = 8 in³
240/8 = 30 cubes
Answer:
I believe 240
Step-by-step explanation:
Since ur multtiplying
10 times 4 times 6 you get 240
please help I have no clue how to do this
Step-by-step explanation:
It's a question of trigonometry.
You need to remember that tangent (tan) stands for Perpendicular / Base.
So, tan P = QR / PR
By Pythagoras Theorem,
34² = 30² + x²
x² = 34² - 30²
x² = 1156 - 900
x² = 256
x = 16
Now, placing the values,
tan P = 30 / 16
tan P = 1.875
HOPE IT HELPS ^_^
help me BRAINLES tysm
a number times 12 is 72. which equation fits this statement?
Answer:
12x = 17
Step-by-step explanation:
So, this is a standard variable equation, so a number (I did x because I'm basic) times, multiplied by, whatever 12 = 72
So a number times 12 is 72 = 12x = 17
Now, if you wanted to actually solve this equation, you just have to do inverse operations:
17 ÷ 12 = 1.4167 (rounded)
So x = 1.4167
hope this helps:)
What is the mean of the values in the dot plot?
Answer:
Mean=19.5
Step-by-step explanation:
Mean= (16x1 + 17x4 + 19x4 + 21x1 + 22x2 + 23x1 + 25x1)/14=273/14=19.5