Answer:
Step-by-step explanation:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument. ... The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .
Answer:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument . Coordinate geometry proofs employ the use of formulas such as Slope Formulas, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definition s. The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas . The facilitate verification is a proof of a geometric hypothesis which utilizes " summed up" indicates on the Cartesian Plane make a contention. The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations. For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem, which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.
Rationalise the denominator and simplify:
7/√7
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]
[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]
[tex] = √7[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Step-by-step explanation:
Given,
7/√7
The denominator is √7.
We know that
Rationalising factor of √a is √a.
Therefore, the rationalising factor of √7 is √7.
On rationalising the denominator them
=> (7/√7) × (√7/√7)
=> 7(√7)/(√7 × 7)
=> 7√7/7.
Hence, the denominator is rationalised.
Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.
Answer:
c
Step-by-step explanation:
A tiger eats about 15 pounds of food per day. A large dogs eats about 18 ounces of food per day. How many more pounds of food does a tiger eat per day?
A) 12 3_4pounds
B) 13 1_2pounds
C) 13 7_8pounds
D) 14 1_9pounds
Answer:
B
Step-by-step explanation:
what is the answer to 3x + 2(4x − 6) = 8x + 1
Answer:
x=13/3
Step-by-step explanation:
Given the following quadratic equation: 0 = (x - 8) (3x - 5)
Find the solutions (Show all work) need help please
Answer:
x=8
x=5/3
Step-by-step explanation:
evey bracket equal =0 to get solution
x-8=0
x=8
3x-5=0
3x=5
x=5/3
Answer:
x=5/3 or x=8
Step-by-step explanation:
0=3x^2-29x+40
-3x^2+29x-40=0
(3x-5)(x-8)=0
-3x+5=0 or x-8=0
x=5/3 or x=8
Use the number line to find the measure of SV please help
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
Let g be the function defined by g(x) = x3 + x. If f(x) = g-1(x) and f(2) = 1, what is the value of f ′ (2)?
Answer:
f'(2) = 1/4
Step-by-step explanation:
We know that:
g(x) = x^3 + x
and f(x) is the inverse function of g(x), such that:
f(2) = 1
this is because:
g(1) = 1^3 + 1 = 2
We want to find:
f'(2)
The general formula for this case is:
if f(x) is the inverse of g(x)
and f(x) = y
then:
f'(y) = 1/g'(x)
Then in this case,
f'(2) = 1/g'(1)
so we just need to differentiate g(x)
g'(x) = 3*x + 1
and:
g'(1) = 3*1 + 1 = 4
Then:
f'(2) = 1/g'(1) = 1/4
f'(2) = 1/4
pls say the answer :( pls say it
Refer to the pic ...(◕ᴗ◕✿)✌️✌️
HELP!! I tried solving this and cant seem to get it right.
Answer:
x= 20
y = 10
Step-by-step explanation:
Angles 3x° and 60° are Corrosponding angles so they are equal:
[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]
Angles (5y-5)° and 135° are Cointerior so add to give 180°:
[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]
Substitute y and x into the respective formula's to get your angles.
a car company reduced the amount of cars produced from 500000 to 420000. what is the percent decrease in the amount of car produced?
Please help me solve my problem!!!
Answer:
360°
Step-by-step explanation:
360°
Answer:
360 degrees
Step-by-step explanation:
For a polygon of n sides, the sum of the measures of the interior angles is
(n - 2)180.
A quadrilateral has 4 sides, so n = 4.
(4 - 2)(180) = 2(180) = 360
Answer: 360 degrees.
When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6
Answer:
The word for the blank would be "square".
Step-by-step explanation:
Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.
Hope this helped!
Answer:
square
Step-by-step explanation:
the area of a cube is found by squaring the length
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
Step-by-step explanation:
sorry dont know ut
Given circle and circle with radii of 6cm and 4cm respectively.
Compare the length of EF and GH.
The length of EF is ____the length of GH
The length of EF is___
The length of GH is ___
Solution :
Given that :
The radius of circle A = 6 cm
The radius of circle C = 4 cm
In circle A
[tex]\angle EAF = \theta = 140^\circ[/tex]
The length of arc EF = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]
[tex]$=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$[/tex]
= 14.653 cm
In circle C
[tex]\angle GCH = \theta = 140^\circ[/tex]
The length of arc GH = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]
[tex]$=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$[/tex]
= 9.769 cm
Therefore,
The length of EF is 14.653 cm
The length of GH is 9.769 cm
The length of EF is 1.5 times the length of GH
i.e. 14.653 = 1.5 x 9.769
14.653 = 14.653
Hence proved.
The perimeter of the square below is 36 yards. What is the length of each side?
Answer:
A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four
Answer:
9 yards
Step-by-step explanation:
A square has 4 congruent sides
Given the perimeter, the sum of the 4 sides is 36 yards, then
length of side = 36 ÷ 4 = 9 yards
Mrs. Clever rolls a number cube once.
x
1 5.
What is the probability of a 4 being on top?
A. O out of 6
B. 1 out of 6
C. 3 out of 6
D. 4 out of 6
חד
6 out of 6
Answer:
I think it would be 1 out of 6 or B.
Step-by-step explanation:
I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.
Sandra went to the grocery store with $25 to buy fruit. If she spent $12 on apples and $8 on bananas, which set of equations could be used to find the amount of money Sandra had left?
A. 25 - 12 = 13
13 + 8 = 21
B. 25 + 13 = 38
38 - 8 = y
C. 20 - 8 = y
y + 25 = 37
D. 12 + 8 = 20
25 - 20 = y
Answer:
D
Step-by-step explanation:
She spent $12 and *$ on two separate things, meaning she spent $20 on both.
So, 12 + 8 = 20.
If she started with 25, we subtract 20 from 25 to get how much she has left.
So, 25 - 20 = y.
Therefore, the answer is D.
Answer:
D
Step-by-step explanation:
I agree with the previous answer, it's D.
Sandra spent $12 on apples and $8 on fruit, so you would add.
That's $20, so to find out how much money she has left you do 25 - 20.
Find the value of x in the isosceles triangle shown below.
ZA and ZB are complementary angles. If m A = (2x – 13) and m
ZB = (4x - 5), then find the measure of ZB,
Answer:
43º
Step-by-step explanation:
complementary angles total 90
(2x - 13) + (4x - 5) = 90
Combine like terms
6x - 18 = 90
6x = 72
x = 12
ZB = 4x - 5
ZB = 4(12) - 5
ZB = 43º
A boat sails due south from a port at a steady speed of 9km/h. The wind blows the boat due west at a speed of 3km/h. How far is the boat from the port after one hour?
I need to figure this out with the formula a2 + b2 = c2
We are solving for c2 - the hypotenuse.
Answer:
10
Step-by-step explanation:
a^2+b^2=c^2
9^2+3^2=c^2
81+9=c^2
100=c^2
c=10
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What is the maximum number of right angles that can be contained in a
triangle?
O A. 3
OB. O
O c. 1
OD.2
Answer:
ONE...
total of three angles that add up to 180
if you had a second, that would be 180 none left for the third angle
Step-by-step explanation:
These trapezoids are similar. Which of the following is the correct similarity statement?
This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm
Answer:
[tex]18cm[/tex]
Step-by-step explanation:
A of triangle =
[tex] \frac{1}{2} bh[/tex]
[tex] \frac{1}{2} \times 9 \times 8[/tex]
[tex] = 36cm2[/tex]
A of square=
[tex]s2[/tex]
[tex]36 = s2[/tex]
[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]
[tex]18cm = s[/tex]
Add the Integers
2+(-2)
Answer:
0
Step-by-step explanation:
2+(-2) is basically 2-2 which is 0
(12 POINTS)If you can’t help out it would mean so much ty!!!
3y - 5 (2x + 3) - 12
Answer:
The answer is 3y - 10x - 27
Solve for x:
5 + 3x = 8x - 15
Answer:
4 =x
Step-by-step explanation:
5 + 3x = 8x - 15
Subtract 3x from each side
5 + 3x-3x = 8x-3x - 15
5 = 5x -15
Add 15 to each side
5+15 = 5x -15+15
20 = 5x
Divide each side by 5
20/5 = 5x/5
4 =x
Use long division to find the quotient below.
(2x² - 5x-3) + (x-3)
O A. X-1
B. X+1
O C. 2x-1
O D. 2x + 1
Answe
Đáp án: A
Step-by-step explanation:
Ill mark as brainiest :)
Answer:
1 ruler costs $0.60
Step-by-step explanation:
$20-$4.70=$15.30
Calculator =$7.50
3 Packs of Pens = $1.80 each
4 rulers= x each
$7.50 + 3($1.80) + 4x = $15.30
7.50 + 5.40 + 4x = 15.30
12.90 + 4x = 15.30
4x = 2.40
x = 0.60