prove that 5root7 is i
rrational
Answer:
See Explanation
Step-by-step explanation:
Let us assume that [tex] 5\sqrt 7[/tex] is a rational.
Therefore, it can be expressed in the form of [tex] \frac{p}{q}[/tex], where p and q are integers.
[tex] \implies 5\sqrt 7=\frac{p}{q}[/tex]
[tex] \implies \sqrt 7=\frac{p}{5q}[/tex]
[tex] \because [/tex] p and q are integers.
[tex] \therefore \frac{p}{5q}[/tex] is a rational number.
[tex] \implies \sqrt 7[/tex] is rational ([tex] \because [/tex] quotient of a rational number is rational)
But, it contradicts the fact that [tex]\sqrt 7[/tex]is irrational.
So, [tex]5\sqrt 7[/tex] is also irrational, because the product of rational and irrational is irrational.
This contradiction is arising out because of our wrong assumption that [tex] 5\sqrt 7[/tex] is rational.
Hence, [tex] 5\sqrt 7[/tex] is irrational.
Not sure how to do this one. Could use some help!
Answer:
0<x<3 and 8<x<9
Step-by-step explanation:
Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).
which pair best represents a causation statement?
A. a person's age and his/her height.
B. the length of your hair and reading ability
C. the number f books read and the size of someone's vocabulary
D. the higher number of shark attacks and the increasing number of people going on vacation
Answer:
C. the number f books read and the size of someone's vocabulary
Step-by-step explanation:
causation is the action of causing something, thats the only one that makes sense lol
∠A=5x−18 ∘ start color #11accd, angle, A, equals, 5, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B=3x + 42^\circ}∠B=3x+42 ∘ start color #28ae7b, angle, B, equals, 3, x, plus, 42, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:
Answer:
A = 132 degrees
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
Answer:
132
Step-by-step explanation:
bc khan
A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $13,and tickets cost $12.50 per person, including tax. What is the maximum number of people who can go to the amusement park?
Answer:
8
Step-by-step explanation:
Let x be the number of people
12.5x + 13 < 125
x < 8.96
Max number of x is 8
help will mark brainliest
Answer:
The answer to the question is d
Answer:
D
Step-by-step explanation:
The equation has just 1 answer and that is 0
Value of x can only be 1 as this is a linear equation not a quadratic
Please mark my answer as brainliest for further answers:)
Create an eqaution in slope- intercept form with a slope of 3 and y- intercept of -25
Answer:
y = 3x - 25
Step-by-step explanation:
hi. how to give brainliest :-)..........
Answer:
you have to be above ambitious to unlock brainiest answer
Step-by-step explanation:
Answer:
You got wait for 2 people to answer to this then at the bottom right theirs a crown click n that’s how u give brainliest
Step-by-step explanation:
PLZ HELPPP.3+28/z +4s use z=7 and s=5
What is the area?
9 yd
7 yd
It is 63 yards squared (63yd^2)
Step-by-step explanation:
9 x 7 = 63
Answer:63
Step-by-step explanation:
Area=LxW
On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
gallons of the milk. How much milk does the cafeteria have left?
gallons
Answer:
89.88 gallons of milk
Step-by-step explanation:
97.88-8=89.88
Write the equation of the line in fully simplified slope-intercept form.
5
4
3
2
1
-12-11-10-9-8
5
5
1 2 3 4 5 6 7 8 9 10 11 12
3-2-2
-2
-3
- 4
-5
-6
-7
-8
= "
-10
-12
Answer:
y = - x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1
The line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - x + 6 ← equation of line
Point B has coordinates (2,1). The x-coordinate of point A is -10. The distance between point A and point B is 15 units. What are the possible coordinates of point A?
Answer:
(-10, 10) or (-10, -10)
Step-by-step explanation:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
[tex]15 = \sqrt{(-10 - 1)^2 + (y_2 -2 )^2}[/tex]
[tex]15 = \sqrt{121 + 2y + y^2 + 4}[/tex]
[tex](15)^{2} =( \sqrt{121 + 2y + y^2 + 4})^{2}[/tex]
[tex]225 = 121 + 2y + y^2 + 4[/tex]
[tex]225 = 125 + 2y + y^2[/tex]
[tex]0 = -100 + 2y + y^2[/tex]
[tex]0 = (y + 10)(y - 10)[/tex]
help meeeeeeee pleaasseeeeeee. Also I need work
Answer:
27.5
Step-by-step explanation:
70(0.80)^10 + 20 = 27.51619276 which s about 27.5
PLEASE HELP ILL GIVE BRAINLIEST
SHOW YOUR WORK
5
A system of equations is shown.
y = 2x – 7
y = -x + 5
What is the solution to the system of equations?
Answer:
x = 4
Step-by-step explanation:
Eliminate y by setting the first equation equal to the second:
2x - 7 = -x + 5
Combining like terms, we get:
3x = 12, so that x must be 4.
Identify the lobe of the brain
a)frontal
b)temporal
c) occipital
d)parietal
Answer:
Frontal lobe: The part of each hemisphere of the brain located behind the forehead that serves to regulate and mediate the higher intellectual functions. The frontal lobes are important for controlling thoughts, reasoning, and behaviors.
the lobe of the brain located closest to the ear. Structures in the temporal lobe are important for memory, language, and hearing, along with many other functions.
The primary visual cortex is located here and thus the occipital lobe is considered the visual center of the brain.
The parietal lobe is one of the major lobes in the brain, roughly located at the upper back area in the skull. It processes sensory information it receives from the outside world, mainly relating to touch, taste, and temperature.
Step-by-step explanation:
find the missing angle
m∠R=
Answer:
R = 90
Step-by-step explanation:
Triangles will always equal 180 degrees. If you add 61 + 29 = 90. If two of the three angles already equal 90 degrees, then you would subtract 180 - 90. Therefore, the remaining angle would have to be 90 degrees.
B R A I N L I S T I NEED HELP A S A P PLEASE
Answer:
From the left side :
1. X= 60.
2.X= 15.
3.X= 21
Step-by-step explanation:
If u want further explanation , let me know ^^
Good luck ^_^
A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.
Answer:
The rounded answer would lead you to 603.
If this is wrong in sorry.
The volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
What will be the volume of the cylinder?Given that
The diameter d=8 inches r= 4 inches
The height of the cylinder h=12 inches
the volume of the cylinder will be
[tex]V= \pi r^2h[/tex]
[tex]V=\pi\times (4)^2\times 12[/tex]
[tex]V=602.88\ Inch^2[/tex]
Thus the volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
To know more about the Volume of cylinders follow
https://brainly.com/question/23935577
which equation represents a linear function
Answer:
Bottom right equation
Please need help hurry.
Answer:
1/1
Step-by-step explanation:
I need this done ASAP! please
Rational numbers are _____ natural numbers.
sometimes
always
never
Answer: sometimes
Step-by-step explanation:
sometimes
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes
the two lines?
2x + y = 12
y-2 = 3(x - 2)
1) parallel
2) perpendicular
3) the same line
4) neither parallel nor perpendicular
Answer:
4
Step-by-step explanation:
2x+y=12
y=-2x+12
y-2=3(x-2)
If it’s parallel to each other: the slope has to be the same.
If is perpendicular to each other: the slope should be the reciprocal to each other.
The first equation has a slope of -2
The second has a slope of 3
Neither the condition meet. So the answer is 4
Can someone help me with this. Will Mark brainliest.
Answer:
false
Step-by-step explanation:
a parallelogram is defined as a four sided figure with opposite sides parallel. This could include many shapes such as rectangles, so it's not ONLY rhombi.
all rhombuses are parallelograms, but not all parallelograms are rhombuses, so no ! ♡
A rectangle has a perimeter of 32 feet
and an area of 63 square feet. Find the
dimensions.
Answer:
the dimensions are 7 inches and 9 inches
**EASY**
***picture included***
(Question on slope)
3x - 4y = 7
Answers-
A.) 4/3
B.) 3/7
C.) 3/4
D.) 7/3
((Answer d didn’t show on the picture btw))
HELPPP IK IT IS NOT MATHHHH PLZ
Answer:
13)ignorance
Step-by-step explanation:
Are these similar and what is the reason?
Answer:
yes
Step-by-step explanation:
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.
The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
Step-by-step explanation:
so I will that they are similar