Answer:
slope = - 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, - 8)
m = [tex]\frac{-8-2}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5
The value of the gradient is -1/5.
How to find the gradient of a line?In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.
The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.
The given points are (0,2) and (2,-8).
Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,
Gradient = (y₂-y₁)/(x₂-x₁)
Substitute the corresponding values to obtain,
Gradient = (2-0)/(-8-2)
= -2/10
= -1/5
Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.
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$36/4oz is what and , 24/3oz is what , $20/2oz is what plz help
Answer:
see below
Step-by-step explanation:
$36/4oz = $9 per oz
24/3oz = $ 8 per oz
$20/2oz = # 10 per oz
acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab
Answer:
Step-by-step explanation:
How would you go on dividing 7/893
Answer:
0.00783874
Step-by-step explanation:
7/893= 0.00783874
I just put it in the calculator
point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B
Answer: B = (1,-9)
Step-by-step explanation:
[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]
Answer:
the answer is b
Step-by-step explanation:
make r the subject of the formula t=r/r-3
Answer:
r = t(r-3)
Step-by-step explanation:
t = r/r-3
r/r-3 = t
r = t x (r-3)
I WILL GIVE YOU BRAINLIEST!!!!!
Answer: C
Step-by-step explanation:
If you look at the patterns in the table, you will notice that y is always the square of x. So y = x^2 (C)
Answer:
c
Step-by-step explanation:
When you multiply any negative number by any power the answer is the same as the positive of that number.Just make sure you put it in like this into the calculator:
[tex](-4)^{2}[/tex]
City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?
Answer: 385 tickets
Step-by-step explanation:
From the question, City Middle School held its annual musical production last weekend and of the 700 tickets that were sold, 55% were for the Saturday performance. The number of tickets that were sold for the Saturday show will be 55% of 700. This can be expressed mathematically as:
= 55% of 700
= 55/100 × 700
= 55 × 7
= 385 tickets
385 tickets were sold for the Saturday show.
Answer:
ITS IS A= 385
Step-by-step explanation:
HELP PLSSSSSS I NEED TO GET THIS DONE
Answer:
1). a = 10, b = 6
2). a = 5, b = 3, c = 8
Step-by-step explanation:
Given expression is,
1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]
= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]
= [tex]\frac{7^{10}}{7^4}[/tex]
= [tex]7^{{10-4}}[/tex]
= [tex]7^{6}[/tex]
Therefore, a = 10 and b = 6
2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]
= [tex]\frac{2^5}{2^2}[/tex]
= [tex]2^{{5-2}}[/tex]
= [tex]2^{3}[/tex]
= 8
Therefore, a = 5, b = 3 and c = 8
Which number is an integer?
-3/4 1/5 2 42/3
The Answer:
2 is an integer.
Answer:
c
Step-by-step explanation:
edgeinuity
Which equation can be solved using the expression StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (10) (2) EndRoot Over 2 (10) EndFraction for x?
Answer:
A quadratic equation
Step-by-step explanation:
Given
[tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
Required
Which equation can be solved using the above expression
Using the above expression, the equation that can be solved is the roots of a quadratic equation
The general format of the roots of a quadratic equation is given as
[tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex]
When [tex]x= \frac{-b +- \sqrt{b^2- 4ac}}{2a}[/tex] is compared to [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex], one would observe that they have the same format;
Solving [tex]\frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex] further to get the values of x
[tex]x = \frac{-3 +- \sqrt{3^2 + 4(10)(2)}}{2(10)}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 4*10*2}}{2*10}[/tex]
[tex]x = \frac{-3 +- \sqrt{9 + 80}}{20}[/tex]
[tex]x = \frac{-3 +- \sqrt{89}}{20}[/tex]
So;
[tex]x = \frac{-3 + \sqrt{89}}{20} \ or \ x = \frac{-3 - \sqrt{89}}{20}[/tex]
Answer:
B) 2 = 3x + 10[tex]x^{2}[/tex]
Step-by-step explanation:
took the test
can you please help me with functions
Option D is the right answer
(-1,4),(1,7),(2,10)
It is a function because input X values have its unique output y values.
hope it helps
Good luck on your assignment
someone help plz :(((( !!!
Answer: 9/4a^2|b^3|c^4
Step-by-step explanation:
81/16
Square root(81) = 9
Square root(16) = 4
9/4
Since 4 is the index of the radical, all of the exponents divide by 4
(index 4)a^8 = a^2
(index 4)b^12 = b^3
(index 4)c^16 = c^4
Now put the variables together to get the answer:
9/4a^2|b^3|c^4
4. The interior angles of a triangle are 60°, 45° and 75°. The shortest side is 10 cm less than the
longest side. Determine the perimeter of the triangle to the nearest cm.
Answer:
Step-by-step explanation:
The length of each side corresponds to the sizes of each angle respectively.
To determine the length of each side, we would apply sine rule which is expressed as
a/sinA = b/SinB = c/SinC
The diagram of the triangle is shown in the attached photo. The longest side is c. If the shortest side is 10 cm less than the longest side, it means that the length of the shortest side is c - 10
Therefore,
c/Sin75 = (c - 10)/Sin45
c/0.966 = (c - 10)/0.707
Cross multiplying, it becomes
c × 0.707 = 0.966(c - 10)
0.707c = 0.966c - 9.66
0.966c - 0.707c = 9.66
0.259c = 9.66
c = 9.66/0.259
c = 37.3 cm
The shortest side is
37.3 - 10 = 27.3 cm
Applying the sine rule again,
b/Sin60 = 37.3/Sin75
b/0.866 = 37.3/0.966
Cross multiplying, it becomes
0.966b = 0.866 × 37.3
b = 32.3018/0.966
b = 33.4 cm
The perimeter is
27.3 + 33.4 + 37.3 = 98 cm
Two of the opposite vertices of a square have the coordinates (4, - 4) and ( - 3, 3) respectively as shown on the grid below. Which of the following are the coordinates of the OTHER two vertices of the square?
Answer:
(4 , 3 ) and (-3 , -4)
Step-by-step explanation:
Other two vertices will be in 1st quadrant and 3 rd quadrant
Answer: (4 , 3 ) and (-3 , -4)
Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant
Part of a book fell out. The first page of this part has number 143. The last page has a number written with the same digits. How many pages are in the part of the book which has fallen out?
Answer:
142 pages
Step-by-step explanation:
The parameters given are
First page of part of the book available = 143
The last is numbered with the digits 143
Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops
Number on the pages on the first part = from 1 to number on the first page on the second part - 1
Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.
Topic: Probability
Only complete question 7.
Answer:
see below
Step-by-step explanation:
which number is one less than a cube number?
20
22
24
26
The number less than a cube is 26.
What is cube of a number?The cube of a number is obtained by multiplying the number three times.
Determine the cube of 3.
3·3·3=27
So, the cube of 3 is 27.
From the given options it can be observed that the number 26 is 1 less than 27.
Thus, the number one less than cube is 26.
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Please do quickly Thank you
Answer:
21x+4
Step-by-step explanation:
To find the perimeter you have to add up all the sides
PLEASE HELPP! Question 1: Factorise each of the following (a) x² + 7x + 12 (b) x² + 6x + 8 (c) x² + 5x + 6 (d) x² + 8x + 7
Answer:
Using the mid-term break formula for all of them.
a) x²+7x+12
= x²+3x+4x+12
= x(x+3)+4(x+3)
= (x+4)(x+3)
b) x²+6x+8
= x²+2x+4x+8
= x(x+2)+4(x+2)
= (x+4)(x+2)
c) x²+5x+6
= x²+2x+3x+6
= x(x+2)+3(x+2)
= (x=3)(x+2)
d) x²+8x+7
= x²+7x+x+7
= x(x+7)+1(x+7)
= (x+1)(x+7)
Answer:
a) the middle number is seven and the last number is 12
factorising means we want something like (x + ___) (x +__)
Which number go into the blanks?
we need 2 numbers that add together to get 7 multiplied together to get 12.
3 + 4 is equal to 7
3x4=12
Answer:
(x+3)(x+4)
b) the middle number is 6 and the last number is 8
Factoring means we want something like
(x+___)(x+___)
which number go to the blanks?
We need two numbers that add together to get 6 and multiply together to get 8
2+4=6
2x4=8
Answer:
(x+2)(x+4)
c) the middle number is 5 and the last number is 6
we need two numbers that add together to get 5 and multiply together to get 6
2 + 3 is 5 and 2 x 3=6
Answer:
(x+2)(x+3)
Answer:
d) (x+1)(x+7)
Find the sum of ( 1- 1/n) + (1 - 2/n) + ( 1 - 3/n)...upto n terms
Answer:
(n-1) / 2
Step-by-step explanation:
We have that the sum has the form of:
Sn = n / 2 [2 * a + (n-1) * d]
we compute the terms of a and d
a = 1 - 1 / n
a = (n - 1) / n
, that is, the first term, in the case d is the subtraction between the second and the first term, thus:
d = 1 - 2 / n - (1 - 1 / n)
d = 1 - 2 / n - 1 + 1 / n
d = - 1 / n
now if replacing these values:
Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)
Sn = n / 2 * [2 * (n-1) - (n-1)] / n
Sn = 1/2 * (n-1)
Therefore, the value of that sum is (n-1) / 2
UN RECOLECTOR COMPLETA CUATRO CAJAS DE CAFE CADA CAJA LE CAVE 25/2 DE KILOGRAMOS DE CAFE SI SE RECOJE DIARIAMENTE CUATRO CAJAS¿CUANTOS KILOGRAMOS DE CAFE RECOJE EN TOTAL?
Answer:
El recolector recoge un total diario de 50 kilogramos.
Step-by-step explanation:
(The following problem is written in Spanish and for such reason explanation will be held in the same language)
La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:
[tex]m = n \cdot m_{unit}[/tex]
[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]
[tex]m = 50\,kg[/tex]
El recolector recoge un total diario de 50 kilogramos.
PLZZZZZZZZZZZZZZZZZZZ ANSWER THIS QUESTION I WILLL MARK BRAINLIEST
Answer:
Okay, so, your picture kinda blurry but I'll still help you:
to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.
To find the gradient, just pick two points on a line and do
1)the difference between both y axis points
2)the difference between the x axis points
and then divide 1) by 2) to get the gradient.
Hope this helps!!
Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages?
Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
David read 35 more pages than Kerry.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Chemistry book contains 420 pages.
Kerry read 2/3 of her chemistry book,
= 2/3 x 420
= 280 pages.
David read 3/4 of her chemistry book,
= 3/4 x 420
= 315 pages.
315 - 280 = 35 pages.
Therefore, David read more pages.
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The length of a rectangle is 11 less than 9 times the width. The
perimeter of the rectangle is 18 inches.
Answer:
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
The length and width of the rectangle is equals to 7inches and 2inches respectively.
What is rectangle?" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."
Formula used
Perimeter of the rectangle = 2 (length + width)
According to the question,
Given,
Perimeter of the rectangle = 18inches
'x' represents the width of the rectangle
As per the condition given,
Length of the rectangle = [tex]9x -11[/tex]
Substitute the value in the formula we get,
[tex]2(9x -11 +x)=18[/tex]
⇒[tex](10x-11)=\frac{18}{2}[/tex]
⇒[tex]10x= 9+11[/tex]
⇒[tex]x= 2inches[/tex]
Length of the rectangle = [tex]9(2)-11[/tex]
= [tex]18-11[/tex]
= [tex]7inches[/tex]
Hence, length and width of the rectangle is equals to 7inches and 2inches respectively.
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Share 35 sweets in the ratio 4:3
number sweet is 35
we divided ratio =4x:3x
total = 4x+3x
7x= 35
= 35/7
x= 5
1 st part will be 4x = 4*5= 20 sweets.
2 nd part will be 3x = 3*5= 15sweets
Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
JKM AND GHK
Step-by-step explanation:
THE SUM OF THE TWO ANGLES IS 180°
_______________________________
Hey!!
The supplementary angles are <IHK and < IHF
Supplementary angles are those angles which is exactly 180 degree.
Hope it helps..
Find the equation of a line which passes through (2,3)and is perpendicular to y-3x+1=0.give your answer in the form y=mx+c
Answer:
3x - 1 = 0
Step-by-step explanation:
3x + 1 = 0
The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.
So the answer is 3x - 1 = 0
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
The picture represents a final step used in...
A) constructing a 2-inch segment
B) constructing angle bisectors
C) constructing a 3-inch segment
D) constructing congruent segments
l
P.-----------------------------------.Q l
R.------------------------------------------.l S
l
l
Answer:
DStep-by-step explanation:
if the picture represents a final step you can just look at the picture and see if it has a answerThe solution is Option D.
The figure represents a construction of congruent segments
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first line segment be represented as P
Let the second line segment be represented as Q
Now , the equation will be
The length of the line segment P is congruent to the line segment Q
Therefore , the line segments P and Q are congruent to each other
Hence , the figure represents a construction of congruent segments
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One of the base for a trapezoid is 5in the other is unknown the height is 3in the area is 18in what is the other base.
Answer:
7 inches
Step-by-step explanation:
formula for a trepezoid is 1/2(a+b)*h
1/2(5+x)X3=18 (now make x the subject)
(5+x)X3=36
5+x=12
x=7
so the other base is 7in
