Answer:
-4350
Step-by-step explanation:
-((58)x(75))=
-(4350) =
-4350
Find two numbers whose difference is 5 and sun of whose squares is 100.
(I believe this is the quadratic formula!)
I’m not sure how to go about it. If someone go go through it step by step, that’d be helpful. (Or even give me the values to put into the quadratic formula)
Answer:
I. x = 14.115 and y = 9.115
II. x = 0.885 and y = -4.115
Step-by-step explanation:
Let the two numbers be x and y respectively.Translating the word problem, we have;
x - y = 5 ......equation 1
x² + y² = 100 ...... equation 2
x = y + 5 ...... equation 3
Substituting eqn 3 into eqn 2, we have;
(y + 5)² + y² = 100
Simplifying further by opening the bracket, we have;
(y + 5)(y + 5) + y² = 100
y² + 5y + 5y + 25 + y² = 100
y² + 10y + 25 + y² = 100
2y² + 10y + 25 = 100
2y² + 10y + 25 - 100 = 0
2y² + 10y - 75 = 0
To find the roots of the quadratic equation, we would use the quadratic formula;
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 2, b = 10 and c = -75
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the formula, we have;
[tex] y = \frac {-10 \; \pm \sqrt {10^{2} - 4*2*(-75)}}{2*2} [/tex]
[tex] y = \frac {-10 \pm \sqrt {100 - (-600)}}{4} [/tex]
[tex] y = \frac {10 \pm \sqrt {100 + 600}}{4} [/tex]
[tex] y = \frac {10 \pm \sqrt {700}}{4} [/tex]
[tex] y = \frac {10 \pm 26.46}{4} [/tex]
[tex] y_{1} = \frac {10 + 26.46}{4} [/tex]
[tex] y_{1} = \frac {36.46}{4} [/tex]
[tex] y_{1} = 9.115 [/tex]
Or
[tex] y_{2} = \frac {10 - 26.46}{4} [/tex]
[tex] y_{2} = \frac {-16.46}{4} [/tex]
[tex] y_{2} = -4.115 [/tex]
Next, we would find the value of x;
x = y + 5
When y = 9.115
x = 9.115 + 5
x = 14.115
When y = -4.115
x = -4.115 + 5
x = 0.885
Check:
x - y = 5
14.115 - 9.115 = 5
Please help me on this question
Answer:
ans: 80 °
Step-by-step explanation:
given two triangle are isosceles triangle so,
triangle having angle a;
a + 2d = 180
d = 54° ( since a= 72°)
d is vertically opposite to angle of triangle containing x,
similar reason for b ,
hence
x+ d + b = 180
x = 180 - 54 - 46
= 80°
Perímetro de un círculo de 2.5
Answer:
La circunferencia del círculo es igual a Pi π veces el diámetro d. Dado que el diámetro d es igual a 2 veces el radio r, la fórmula para la circunferencia que usa el radio es 2πr 2 π r.
Step-by-step explanation:
which table represents a nonlinear function?
Answer:
C
Step-by-step explanation:
help me out please asap
Answer:
Step-by-step explanation:
There are 2 repeating digits in .64(with a line over both of those numbers). The value to multiply on to both sides will be 100. To find the fraction that represents the repeating decimal, there are steps to follow. First, make sure the decimal is just before the repeating decimals. It is, so we are good there. Next, move the decimal over how ever many places to get it right after the repeating numbers. That means moving the decimal 2 places to the right. That's the same as multiplying by 100:
100x = 64.6464
What we have now is a system with the equation above and
x = .6464
We subtract them:
100x = 64.6464
- x = .6464
to get
99x = 64. Solving for x:
x = 64/99
That's how you change a repeating decimal to a fraction.
PLEASE HELP ASAP! What system of linear inequalities is shown in the graph?
Step-by-step explanation:
x+2y ≥ 4 => y ≥ -½x +4
-2x + y > -3 => y > 2x - 3
Answer:
Work out the equations of the lines first.
The solid line
It has a slope of m = (1 - 2)/2 = -1/2 and the y-intercept of 2The line is:
y = -1/2x + 2The dotted line
It has a slope of m = (-1 + 3) / 1 = 2/1 = 2 and the y-intercept of -3The line is:
y = 2x - 3The intercession zone is above of both of the lines, so the inequalities are:
y ≥ -1/2x + 2y > 2x - 3The midpoint of AB is M(- 2, 1) . If the coordinates of (1, - 2) , what the coordinates of B?
Answer:
(-5, 4)
Step-by-step explanation:
Finding the X of B
-2 = x2+x1/2
-2 = x2+1/2 (substituted X co-ord of A into x1)
-4=x2+1 (multiplied both sides by 2)
-5=x2 (brought 1 to the other side)
Finding the Y of B
1 = y2+y1/2
1 = y2 - 2/2 (substituted Y co-ord of A into y1)
2 = y2 -2 (multiplied both sides by 2)
4 = y2 (brought 2 to the other side)
how to Find the area of the following parallelograms?
Answer:
A=LxW
Step-by-step explanation:
It is same as the area of rectangles
A=LxW
Answer:
To find first Base and height of parallelogram then
Area= b×h
2 + (-6)
HELP PLEASE !!
Step-by-step explanation:
-4
MARK AS BRAINLIEST...........
Answer:
2+(-6)
2-6
-4
Your Welcome
BIFFY OUT!!!
What is |x - 9| = 0 in word form?
Answer:
x = 9
Step-by-step explanation:
|x - 9| = 0
x = 9
|9 - 9| = 0
|0| = 0
0 = 0
What's Is m
32
58
74
148
Answer:
x=74
Step-by-step explanation:
The angle H = x
We know angle M also is x because the sides are the same length
The sum of the angles of a triangle add to 180
x+x+32 = 180
Combine like terms
2x+32 =180
Subtract 32 from each side
2x = 180-32
2x =148
Divide by 2
2x/2 =148/2
x=74
Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?
a
a random sample
b
a biased sample
c
a stratified sample
d
a quota sample
Answer: A. A random sample
Step-by-step explanation:
Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population
I hope this helps!
Determine if the following triangles are similar. Show all work to justify your answer.
If they are similar write the correct similarity statement for the triangles.
Answer:
they are similar
Step-by-step explanation:
1.6/1.2=1.3333
2.8/2.1=1.3333
they are similar as their ratios of the legs are equal
What is the equation form of the line that is parallel to the line y=-1/3x+4 and passes through the point (6,5)
Answer: 4
Step-by-step explanation: bc
pls help and explain on tha pic
Answer:
5. 4
Step-by-step explanation:
[tex] \sqrt{ \frac{1}{25}} \times { \sqrt[4]{81} }^{3} \\ = \frac{1}{5} \times 27 \\ = 5.4[/tex]
brainliest please
?????????????????????????????????????????????????????
Answer:
??????
Step-by-step explanation:
Answer:
The radius of the circle is 2 units.
Step-by-step explanation:
The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.
a mobile phone company changes its rental charge from $80 to per to $7.50per month.
work out the percentage increase
Answer:
6.6%
Step-by-step explanation:
Note: I had to correct the given data
Given data
Initial charges= $7.50
Final charges= $8.0
Percent increase
% increase= Final-initial/initia*100
% increase= 8-7.5/7.5*100
% increase= 0.5/7.5*100
% increase= 0.066*100
% increase= 6.6%
1.5 in.
1.5 in.
8 inches tall
The tube of toothpaste shown costs $3.45. Estimate the price per cubic inch of toothpaste.
Answer:
per inch 0.90 cents hhhhhhjjkolllll
ase helppppppppppppppppp <33
Answer:
C none of the above
Step-by-step explanation:
A negative divided by a negative is a positive
- ( l/ -m) = + l/m
A is negative
B is negative ( negative negative negative is negative)
Morgan borrowed $0.35 from her mother every time she went to the gas station to buy some chips. Over the summer Morgan went to the grocery store with her mother 9 times. Write an expression using rational numbers to show how much money Morgan borrowed from her mother. Then determine how much Morgan owes her mother.
Answer:
The money borrowed by Morgan is $ 3.15.
Step-by-step explanation:
Money borrowed by Morgan to buy chips = $ 0.35
Number of times goes to the station = 9
Money borrowed by Morgan in 9 time visit to station
= 9 x $ 0.35
=$ 3.15
please help giving brainlest and points!
Answer: the last one
Step-by-step explanation:
6th grade math help me pleaseeee
A bag has 5 green balls, 7 blue balls, 2 red balls, and 3 yellow balls. How many elements are in the sample space?
A) 7
B) 210
C) 17
D) 5
Answer:
the answer is D
Answer:
Option C
Step-by-step explanation:
There are 17 elements in the sample space, here.
A) En un videojuego el número de pruebas que hay que superar es el doble de las del nivel anterior, si en el nivel 1 hay dos pruebas, ¿Cuántas habrá en el nivel 5? ¿y en el 9? ES PARA MAÑANAAAAA
Answer:
En el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.
Step-by-step explanation:
En un videojuego en el nivel 1 hay 2 pruebas.
El número de pruebas que hay que superar es el doble de las del nivel anterior. Entonces en el nivel 2 se deben superar 4 (2 pruebas del nivel 1*2, el doble) pruebas, mientras que en el nivel 3 hay que superar 8 pruebas (4 pruebas del nivel 2*2, el doble).
Una sucesión es una secuencia ordenada de números. Si observamos en este caso, la sucesión que se forma para calcular el número de pruebas es 2ⁿ, donde n es el número de nivel en el videojuego.
Entonces, por ejemplo, en:
el nivel 1: 2ⁿ= 2¹= 2 pruebasel nivel 2: 2ⁿ= 2²= 4 pruebasel nivel 3: 2ⁿ= 2³= 8 pruebasEntonces, para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:
2ⁿ= 2⁵= 32 pruebas
mientras que para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:
2ⁿ= 2⁹= 512 pruebas
Entonces, en el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.
Sabiendo como cambia el número de pruebas por nivel, veremos que en el nivel 5 hay 32 pruebas y en el nivel 9 hay 512 pruebas.
Sabemos que la cantidad de pruebas que hay que superar en cada nivel es el doble de las que hay en el nivel anterior.
Entonces, esto es una serie geometrica, que se puede escribir como:
[tex]A_n = A_1*2^{n - 1}[/tex]
Donde A₁ es la cantidad de pruebas en el primer nivel, que sabemos que son 2.
Entonces escribimos:
[tex]A_n = 2*2^{n-1} = 2^n[/tex]
En el nivel 5 tenemos n = 5, entonces la cantidad de pruebas que hay en e nivel 5 esta dado por:
[tex]A_5 = 2^5 = 32[/tex]
Es decir, hay 32 pruebas en el nivel 5.
Para el nivel 9 tenemos n = 9, entonces hay:
[tex]A_9 = 2^9 = 512[/tex]
Hay 512 pruebas en el nivel 9.
Sí quieres aprender más. puedes leer:
https://brainly.com/question/18790599
Two parallel lines are crossed by a transversal.What is the value of a?
Answer:
No solution is possible form the given informantion
Step-by-step explanation:
There seems to be something missing.
The quotient of 1/2 divided by 1 3/4
Answer:
2/7
Step-by-step explanation:
1
2
÷
1 3
4
=
1
2
÷
7
4
=
1
2
×
4
7
=
1 × 4
2 × 7
=
4
14
=
4 ÷ 2
14 ÷ 2
=
2
7
Find the value of x. PLEASE HELP ASAP!!!!!!
Answer:
I don't want to be silly here, but....
if x > 9 and < 13...
there is only one answer that is >9 and < 13
that is answer "A" (11)
Step-by-step explanation:
Answer:
A. 11
Step-by-step explanation:
Hi there!
We're given the trapezoid EBFD, with bases (the parallel sides) EB and DF, which equal 9 and 13 respectively
AC is a segment that belongs to EBFD, and has the measure of x
AC is a midsegment, which is a segment that connects the midpoints of 2 sides
the midpoint divides a segment to create create two congruent segments
In this example, point A is a midpoint, as it divides ED into the congruent segments EA and AD (you can tell they are congruent by their markings)
C is also a midpoint, as it divides BF into the congruent segments BC and CF
line segment AC connects the points A and C together
anyway, the measure of a midsegment in a trapezoid is the average of the bases
in other words, the midsegment (AC, or x) is equal to (EB+DF)/2
since we know the measures of EB and DF, we can substitute them into the expression above to find x
x=(EB+DF)/2
x=(9+13)/2
add the numbers on the numerator
x=22/2
divide
x=11
So the answer is A
Hope this helps! :)
i need help as soon as possible please and thank you
Step-by-step explanation:
yes that's the answer
can you please give me brainliest
and use DESMOS app for drawing graphs
find the greatest number in which 60,90 and 120 are exactly divisible
Answer:
30
Step-by-step explanation:
To find the greatest number divisible : find the GCF
[tex]60 = 2 \times 2 \times 3 \times 5 = 2^2 \times 3^1 \times 5^1\\\\90 = 2 \times 3 \times 3 \times 5 = 2^1 \times 3^2 \times 5\\\\120 = 2 \times 2 \times 2 \times 3 \times 5 = 2^3 \times 3^1 \times 5^1[/tex]
[tex]Therefore \ , GCF = 2 \times 3 \times 5 = \ 30[/tex]
Therefore greatest number in which 60, 90 , 120 are divisible = 30
The greatest number is 30 which is divisible by 60, 90, and 120.
What is Least Common Multiple(LCM)?The least common multiple is defined as the least positive integer that is dividable by both given numbers. A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.
To find the greatest number in which 60, 90, and 120 are all exactly divisible, we can find the least common multiple (LCM) of these three numbers.
The LCM is the smallest positive integer that is exactly divisible by all of the numbers in question.
One way to find the LCM of 60, 90, and 120 is to list the prime factorization of each number and then take the highest exponent of each prime factor:
60 = 2 x 2 x 3 x 5
90 = 2 x 3 x 3 x 5
120 = 2 x 2 x 2 x 3 x 5
The LCM of 60, 90, and 120 is then 2 x 3 x 5 = 30.
Therefore, 30 is the greatest number in which 60, 90, and 120 are all exactly divisible.
To learn more about the Least Common Multiple(LCM) here :
https://brainly.com/question/17256135
#SPJ2
Question is in picture
Answer:
obtion b and d
Step-by-step explanation:
4x + 5 = -4x + 5
4x + 4x = 5 - 5
8x = 0
x = 0/8
x = 0 (this has solution)
-4x + 5 = -4x - 4
-4x + 4x = -4 + 5
0 = -1 (this has no solution)
5x + 5 = -4x - 4
5x + 4x = -4 - 5
9x = -9
x = -9/9
x = -1 (this has solution)
-4x + 5 = -4x - 5
-4x + 4x = -5 -5
0 = -10 (this has no solution)