Step-by-step explanation:
Length of a rope is 5 meter. it means the rope is 5 meter long..
hope it helps.stay safe healthy and happy...Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
Step-by-step explanation:
If the product of 2 integers is -12, then that equation looks like this:
xy = -12
If the sum of those same 2 integers in 1, then that equation looks like this:
x + y = 1
Let's solve the second equation for x and plug it into the first equation. Solving the second equation for x gives us
x = 1 - y and plug that into the first equation in place of x to get:
(1 - y)y = -12 and
[tex]y-y^2=-12[/tex] Now move everything over to one side and factor to find y:
[tex]-y^2+y+12=0[/tex] and the 2 values for y are
y = -3 and y = 4. Let's see what happens when we solve for x.
If xy = -12 and y is -3:
x(-3) = -12 so
x = 4
If xy = -12 and y is4:
x(4) = -12 so
x = -3
So it looks like the 2 integers are -3 and 4
For the function y=log(x-2)+1 which of the following statements is true? (see picture) (WILL GIVE BRAINLIEST)
Answer:
B.
Step-by-step explanation:
if f(x)= 3^x+10x and g(x)= 2(x) = 2x - 4 find (f+g)(x)
Answer:
(f + g)(x) = 3^x + 12x -4
Step-by-step explanation:
Here, we want to get the value of (f + g)(x)
Mathematically, we have this as;
(f + g)(x) = f(x) + g(x)
= 3^x + 10x + 2x-4
= 3^x + 12x -4
the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help
Hello again,
"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...
You've been warned"
Answer is a=2, b=8 and c=-1
Indeed:
y=f(x)=ax²+bx+c
Since (-2,-9) is the vertex,
y=k*(x+2)²-9
Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2
f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9
f(x)=2x²+8x-1
A proof: the picture is following.
What is the Measure of arc XY?
Answer:
Arc XY = 180- 43
= 137º
answer is C
Step-by-step explanation:
pls help- the question kept cutting off before:
If cos(πr) = 2 cos(πr) and 0 < r < 3, what is one possible value of r?
Answer:
r can be 0.5
Step-by-step explanation:
Here, we want to get a possible value of r
From the question, the value of r is between 0 and 3
Mathematically, we know that in degrees pi is the same as 180 degrees
In a case where we have r = 1/2
we have it that;
cos(pi/2) = 2 cos (pi/2)
Since pi/2 is 90 and cos 90 is zero; then we have it that the two sides of the equation is the same and r can be 1/2
Solve the qn in attachment .
Answer:
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Step-by-step explanation:
The given expression to us is ,
[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]
Now take the LCM as ( x - 1 ) and Simplify , we have ,
[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]
Simplifying further , we get ,
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Hence the second option is correct.
Answer:
[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1)}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2} \\ \frac{ - 4x + 7}{2(x - 1)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]
In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false?
Statement to Prove True: If a figure has exactly three sides, then it is a triangle.
Statement to Prove False:
Answer:
Step-by-step explanation:
The mean grade on the statistics exam is M=82, the standard deviation is G=12. What actual grade has a Z score of z= -1.5
Answer:
64
Step-by-step explanation:
-1.5 = (X - 82)12
-18 = X-82
X = 64
Help, someone please lol
Answer:
2x+5x^2=1
2x+5x*5x=1
2x+25x=1
27x=1
1/27=x
Hope This Helps!!!
Answer:
D. 24
Hope it helps!
PLEASE HELP !!!!! Which type of conic section is described by the following equation?
(y - 3)2/4^2- (x+2)^2/6^2=1
A. Circle
B. Parabola that opens up
C. Parabola that opens down
U O
D. Hyperbola opening left and right
E. Ellipse
E Hyperbola opening up and dow
Answer:
F
Step-by-step explanation:I just took the test
Which of the following shows the coordinates of A (6, 12)
after reflection over the y-axis?
Answer:
(- 6, 12 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (6, 12 ) → A' (- 6, 12 )
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
Help me please
I will mark you as brainliest
Answer:
In picture
Step-by-step explanation:
Brainliest please~
[tex](0,3)[/tex] and [tex](1,-2)[/tex]
Equation: (refer the image below)
Slope:
[tex]m=\frac{3+2}{0-1}[/tex]
[tex]m=-5[/tex]
Equation:
[tex]y=5x-b[/tex]
[tex]3=b[/tex]
Substitute (0,3)
Point: [tex](1,-2)[/tex]
Triangle ABC is congruent to LMN. Find the value of x. Please and thank you!
Warning: if you give an answer that is NOT related to the question at all then I will report you - FIND THE VALUE OF X
Answer:
x = 9
Step-by-step explanation:
The ratios of corresponding sides are equal, that is
[tex]\frac{BC}{MN}[/tex] = [tex]\frac{AB}{LM}[/tex] , substitute values
[tex]\frac{x}{15}[/tex] = [tex]\frac{6}{10}[/tex] ( cross- multiply )
10x = 90 ( divide both sides by 10 )
x = 9
Determine the area of the triangle.
67.7 square units
777.2 square units
135.5 square units
5.9 square units
Answer:
cuadradas 777,2 unidades
Step-by-step explanation:
Answer:
67.7
Step-by-step explanation:
i just took the quiz
Three consecutive odd integers have a sum of 27. Find the integers.
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of three consecutive odd integers = [tex]27[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The values of the three integers.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].
As per the condition, we have
[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]
[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]
[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]
Now, collect the like terms.
[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]
[tex]➺ \: 3x + 6 = 27[/tex]
[tex]➺ \: 3x = 27 - 6[/tex]
[tex]➺ \: 3x = 21[/tex]
[tex]➺ \: x = \frac{21}{3} \\[/tex]
[tex]➺ \: x = 7[/tex]
Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]⇢ 7 + 9 + 11 = 27[/tex]
[tex]⇢ 27 = 27[/tex]
⇢ L. H. S. = R. H. S.
[tex]\sf\blue{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Printed Pages in Color Time (min), x 2 6 8 18 Number of pages, y 3 9 12 27 What is the constant of variation?
Answer:
3/2
Step-by-step explanation:
formula k = y/x
comes from
y = kx
k = constant of variation
when y = 3 , x = 2
k = 3/2
What is the scale factor from ABC to DEF?
Within similar triangles, the angles are the same. So, we need to look at the side lengths then.
72 to 12
66 to 11
42 to 7
In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.
The scale factor from ABC to DEF is 1/6.
Hope this helps!
PLEASE HELP ILL GIVE BRAINLIEST
If t< sand s< r what is the relationship between the values tand /?
Answer:
If you are talking about inequalities, t < r.
Step-by-step explanation:
Since s is bigger than t and r is bigger than s,
r should be bigger than t obviously.
For what value of b will f(x) = x^2 + bx + 400 have -20 as its only zero? Record your answer and fill in the bubbles on your answer document.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero
Then x=-20
What is the zero of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
x=-20 is the zero of the given polynomial
Therefore it satisfies the given polynomial
[tex]f(-20)=(-20)^2+b(-20)+400[/tex]
[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]
Therefore the value of b is 40.
To learn more about the zeros of the polynomials visit:
https://brainly.com/question/12461081
help please
h - (-2) ≥ 10
Answer:
answer
Step-by-step explanation:
h+2 ≥ 10
h ≥ 10 - 2
h ≥ 8
FACTOR....
x^2 + 10× - 2400 = 0
Answer:
x= -5 + 5[tex]\sqrt{97}[/tex], x= -5 - 5[tex]\sqrt{97}[/tex]
Step-by-step explanation:
Since this quadratic is set to zero, we can use the quadratic formula to solve this.
x^2 + 10x - 2400 = 0
Quadractic formula = x= -b +- [tex]\sqrt{b^2 - 4ac}[/tex] /2a
For this equation:
a= 1, b=10, c=-2400
Plug these numbers into the equation and solve.
x= -10 +- [tex]\sqrt{10^2 - 4(1)(-2400}[/tex])/2(1)
x= -10 +- [tex]\sqrt{100 + 9,600}[/tex]/2
x= -10 +- [tex]\sqrt{9,700}[/tex]/2
x= -10 +- [tex]\sqrt{2^2 * 5^2 * 97}[/tex]/2
x= -10 +- 5 * 2[tex]\sqrt{97}[/tex]/2
x= -10 +- 10[tex]\sqrt{97}[/tex] / 2
Divide by 2.
x= -5 +- 5[tex]\sqrt{97}[/tex]
Answer:
x= -5 + 5[tex]\sqrt{97}[/tex] or x= -5 - 5[tex]\sqrt{97}[/tex]
What is 6 1/3 divied by 1/6
Answer:
38
Step-by-step explanation:
6⅓÷⅙
change 6⅓ to improper fraction
19/3÷1/6
keep the first fraction, change the division sign to multiplication and reciprocate/flip the second fraction
19/3× 6/1
the denominator 3 and numerator 6 will simplify/cancel each other
the new fraction is now: 19/1 × 2/1
there is no need to multiply the denominators because it will still be equal to 1 so we just need to multiply the numerators by each other
19×2=38 OR 38/1 (both answers are the same)
There are five students standing in a line with their hats. Suddenly the wind picks up the hats and randomly assigns each hat to a student. What is the probability that no student will get his or her own hat
Answer:
The probability of a person getting their own hat is 1/5 or 20%.
Step-by-step explanation:
If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.
Worth 11 points please help me!
Answer:
124°
I hope it's helps you
Determine the solution on the following equation
Answer:
x = 3
Step-by-step explanation:
Step-by-step explanation:
3(8x-8)/2=64
3(8x-8)=64×2
24x-24=128
24x=128+24
24x=152
24x/24=152/24
x=6.3
HELP ASAP 10 POINTS AND BRAINLIST AND 5 STAR AND THANKS BUT IF CORRECT
Step-by-step explanation:
hope it helps you..........
Answer:
[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
Please help I will mark brainliest- I already know it’s not the last two- please help!
Answer:
Traversable because it has exactly two odd nodes
Step-by-step explanation:
There is a rule that says it is traversable if it has exactly 2 odd nodes. The are other rule where it can be traversable is if has no odd nodes.
Also if we let the starting point be D and the ending point be B we can travel the network in such way that each edge is only traveled once which is the definition that the network is traversable.
So I will do this by starting at D, then travel to A using the outside edge, then travel to back to D using inside edge, then travel to C, then travel to B, then travel to A using outside edge, and then back to B from A using inside edge.
The diagram shows a rectangle. If the perimeter of the rectangle is 66 cm, what is the area of the rectangle?
Answer:
Step-by-step explanation:
Perimeter of the rectangle = P
Base = b
Height = h
Area = A
P = 2b + 2h
P = 66
STEP 1:
2(2x + 1) + 2(x + 5) = 66
Distribute
4x + 2 + 2x + 10 = 66
STEP 2:
Combine like terms and isolate the variable
6x + 12 = 66
6x = 54
x = 9
STEP 3:
Plug in x
A = (2(9) + 1) * (9 + 5)
STEP 4:
Simplify
A = (18 + 1) * (14)
A = (19)(14)
A = 266
[tex]\displaystyle\bf P=2(2x+1+x+5)=66\\\\6x+12=66\\\\6x=54\\\\\boxed{x=9}\\\\2x+1=19\\\\x+5=14 \\\\S=ab=14\cdot19=266 cm^2[/tex]
