Answer:the answer is D
Step-by-step explanation:
1 - Os coeficientes numéricos de uma equação do 2º grau (ax² + bx + c = 0), são números reais representados pelas letras “a, b e c”. Para que uma equação do 2º grau possa existir, é necessário que o coeficiente “a” seja DIFERENTE de: * 1 ponto a) -2 b) -1 c) 0 d) 1 2) Usando o método de Tentativa e Erro, visto na aula, qual das alternativas abaixo representa uma raiz da equação: x²-5x+6=0 * 1 ponto a) x = 0 b) x = 1 c) x = 2 c) x = -2
Answer:
1) La opción correcta es;
c) 0
2) La opción correcta es;
c) x = 2
Step-by-step explanation:
1) La forma general de una ecuación cuadrática se puede escribir en la forma;
a · x² + b · x + c = 0
Dónde;
a, y b son los coeficientes de x², x y c es el término constante
Por tanto, para que exista un polinomio de 2º grado es necesario que el coeficiente a sea diferente de 0
De lo que tenemos;
(0) × x² + b · x + c = 0, lo que da;
(0) × x² + b · x + c = b · x + c = 0 que es una ecuación lineal o un polinomio de primer grado
Por tanto, la opción correcta es c) 0
2)
La ecuación dada se presenta como sigue;
f (x) = x² - 5 · x + 6 = 0
Usando el método de prueba y error, tenemos;
Cuando x = 0
f (0) = 0² - 5 · (0) + 6 = 6 que no es igual a 0 y, por lo tanto, no es una solución
Cuando x = 1
f (1) = (1) ² - 5 · (1) + 6 = 1 que no es igual a 0 y por lo tanto, no es una solución
Cuando x = 2
f (2) = (2) ² - 5 · (2) + 6 = 0 que es igual a 0 y por lo tanto, es una solución
Cuando x = -2
f (1) = (-2) ² - 5 × (-2) + 6 = 20 que no es igual a 0 y por lo tanto, no es una solución
Por tanto, la opción correcta es c) x = 2
Helppp thank you!!!!!
Answer:
D
Step-by-step explanation:
x is greater than 12:
[tex]x>12 \text{ or } 12<x[/tex]
and x is less than or equal to 3 times the value of y:
[tex]12<x\leq 3y[/tex]
We can divide everything by 3:
[tex]4<\frac{x}{3} \leq y[/tex]
Find the measure of each angle indicated. Round to the nearest tenth.
A) 65.20
C) 55.1°
B) 51°
D) 55.70
Answer:
51
Step-by-step explanation:
=====================================================
The reference angle has AC = 12.3 as the opposite side and BC = 8.4 as the adjacent side. The tangent ratio ties the opposite and adjacent sides together.
--------
tan(angle) = opposite/adjacent
tan(theta) = AC/BC
tan(theta) = 12.3/8.4
theta = arctan(12.3/8.4)
theta = 55.6697828044967
theta = 55.7 degrees approximately
--------
arctan is the same as inverse tangent which is written as [tex]\tan^{-1}[/tex]
make sure your calculator is in degree mode
Find the area of the following shape.
Answer:
57 units^2
Step-by-step explanation:
First find the area of the triangle on the left
ABC
It has a base AC which is 9 units and a height of 3 units
A = 1/2 bh = 1/2 ( 9) *3 = 27/2 = 13.5
Then find the area of the triangle on the right
DE
It has a base AC which is 6 units and a height of 1 units
A = 1/2 bh = 1/2 ( 6) *1 = 3
Then find the area of the triangle on the top
It has a base AC which is 3 units and a height of 3 units
A = 1/2 bh = 1/2 ( 3) *3 = 9/2 = 4.5
Then find the area of the rectangular region
A = lw = 6*6 = 36
Add them together
13.5+3+4.5+36 =57 units^2
Answer:
Total Area = 57 sq. units
Step-by-step explanation:
will make it simple and short
Total Area = A1 + A2 + A3
A1 = (7 + 6) * 6/2 = 39 sq. units (area of a trapezoid)
A2 = 1/2 (9 * 3) = 13.5 sq. units (area of a triangle)
A3 = 1/2 (3 * 3) = 4.5 sq. units (area of a triangle)
Total Area = 39 + 13.5 + 4.5 = 57 sq. units
9) Determine which sides, if any, of the figures are parallel, perpendicular, or neither.
Rectangle BACD has coordinate B(-4,-3), A(-1, -7),C(3,-4), and D(0,0).
Answer:
Parallel: AC and DB, BA and CD
Perpendicular: AC and CD, DB and CD, DB and BA, BA and AC
Neither: None
Step-by-step explanation:
Step 1: Find Slopes
Let's first find the slopes of each side of the rectangle, as that will helps us determine which sides are parallel, perpendicular, or neither.
Recall that the formula for finding the slope between two points is [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the two points. To avoid confusion, I will be taking the first point I list as [tex](x_1,y_1)[/tex] and the second point as [tex](x_2,y_2)[/tex].
Slope of [tex]BA[/tex]:
[tex]\frac{-7-(-3)}{-1-(-4)}\\=\frac{-7+3}{-1+4} \\= -\frac{4}{3}[/tex]
Slope of [tex]AC[/tex]:
[tex]\frac{-4-(-7)}{3-(-1)} \\=\frac{-4+7}{3+1} \\=\frac{3}{4}[/tex]
Slope of [tex]CD[/tex]:
[tex]\frac{0-(-4)}{0-3} \\=\frac{4}{-3} \\=-\frac{4}{3}[/tex]
Slope of [tex]DB[/tex]:
[tex]\frac{-3-0}{-4-0} \\=\frac{-3}{-4} \\=\frac{3}{4}[/tex]
Step 2: Determine which sides are parallel, perpendicular, or neither
Now that we found the slopes of the sides, we can determine which sides are parallel, perpendicular, or neither.
Recall that parallel lines have the same slope. [tex]\bf AC[/tex] and [tex]\bf DB[/tex], along with [tex]\bf BA[/tex]and [tex]\bf CD[/tex], have the same slope, so they are parallel. No other pair of sides has the same slope, so these are our only parallel pairs.
For two lines to be perpendicular, the product of their slopes must be [tex]-1[/tex]. [tex]\bf AC[/tex] and [tex]\bf CD[/tex], [tex]\bf DB[/tex] and [tex]\bf CD[/tex], [tex]\bf DB[/tex] and [tex]\bf BA[/tex], and [tex]\bf BA[/tex] and [tex]\bf AC[/tex] [tex]\bf[/tex]meet that criteria, so they are perpendicular. No other pair of sides meets the criteria, so these are our only perpendicular pairs. Hope this helps!
Shyam is 28 years old than his daughter, now product of their age is 204. find out the age of daughter.
Let daughter be x years old. Then, Shyam is (x + 28) years old.
So,
x(x + 28) = 204
=> x² + 28x = 204
=> x² + 28x - 204 = 0
=> x² - 6x + 34x - 204 = 0
=> x(x-6) + 34(x-6)
=> (x - 6) (x + 34) = 0
=> x - 6 = 0 or x + 34 = 0
=> x = 6 or x = -34
Since any age cannot be negative, daughter's age is 6 years old.
1. Find x.
Please help ASAP
Answer: 2.31
Step-by-step explanation:
please i really need help The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
B
Step-by-step explanation:
If we count the number of points we find out that there are 36 employees
so the fraction must go like x/36
x is the numbers of dots that are less than a 1/2 which are 1/8, 1/4 and 3/8
so x=6
6/36
1/6
so option B
-n +(-3) + 3n +5
Help would be appreciated!
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Answer:
2n+2
Step-by-step explanation:
-n -3 + 3n +5
Combine like terms
-n +3n -3 +5
2n +2
Answer:
2n+2
Step-by-step explanation:
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (:
Answer:
1) 502.65"
2) 367.57 yd
3) 141.37'
4) 471.24'
Step-by-step explanation:
Formula: volume of a cylinder = πr²h
1) v= πr²h 2) v= πr²h
v= π x 4² x 10 v= π x 3² x 13
v= 502.65" v= 367.57 yd
3) v= πr²h 4) v= πr²h
v= π x 3² x 5 v= π x 5² x 6
v= 141.37' v= 471.24'
I hope this helped
Answer:
1. 502.5 [tex]in^{3}[/tex]
2. 367.38 [tex]yd^{3}[/tex]
3. 141.3 [tex]cm^{3}[/tex]
4. 471 [tex]cm^{3}[/tex]
Step-by-step explanation:
The solution to finding the volume of a cylinder is: [tex]\pi r^{2} h[/tex].
They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.
We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!
3.14 · [tex]4^{2}[/tex] · 10 = 502.5
So, the volume of the first cylinder is 502.5[tex]in^{3}[/tex]
This, hopefully explains how to find the volume of the rest of the cylinders!! :)
Hope this helps!! <3
which one is correct?
Answer:
[tex] (x+4)^2=4[/tex]
Step-by-step explanation:
[tex]x^2+8x+12=0\\
\implies (x^2+8x+16)+12=16\\
\implies (x+4)^2=16-12\\
\implies \boxed{(x+4)^2=4}[/tex]
Answer:
(x +4)^2 = 4
Step-by-step explanation:
if we add 4 to the expression x^2 + 8x + 12 we will have a perfect square which is shown as (x +4)^2
so (x +4)^2 = 4 is equivalent to the expression x^2 + 8x + 12
HELPP!! ASAPPP!! PLEASEE
Answer:
The right option is definitely the first one
Hope this helps
What is equivalent to 9 3/4?
The answer is supposedly is 3 square root 3, but how is that the answer? can someone tell me the steps?
Step-by-step explanation:
We need to say that [tex]9^{3/4}[/tex] is equivalent to what.
We know that, (3)² = 9
So,
[tex]9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}[/tex]
We can write [tex]3^{3/2} =3\times 3^{1/2}[/tex]
And [tex]3^{1/2}=\sqrt{3}[/tex]
So,
[tex]3\times 3^{1/2}=3\sqrt{3}[/tex]
So, [tex]9^{3/4}[/tex] is equivalent to [tex]3\sqrt{3}[/tex].
Hence, this is the required solution.
If 48% of the students in a certain college are female and there are 1440 female students, what is the total number of students in the college?
Answer:
3000 students
Step-by-step explanation:
If 48% of the students are female, and there are 1440 female students, we can set up a percentage proportion, assuming x is the total amount of students.
[tex]\frac{1440}{x} = \frac{48}{100}[/tex]
We can use the cross products property to find the value of x.
[tex]1440\cdot100=144000\\\\144000\div48=3000[/tex]
Hope this helped!
How to do it who can solve it
Answer:
because of its bark
Step-by-step explanation:
the answers have corresponding letters so answer the questions and put the letter next to the question above the answer
some of the answers are repeated
The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
181.8yd
Step-by-step explanation:
please help me asap
Answer:
Does the answer help you?
Which expression is equivalent?
Answer:
C
Step-by-step explanation:
sqrt(a^7) = sqrt(a^6 * a)
What is the difference between a coefficient and variable (such as 3x) and a constant (5)? Why can these two types of terms not be combined?
Answer:
see below (I hope this makes sense!)
Step-by-step explanation:
Constants, as the name suggest, stay constant, meaning that their value never changes. For example, 2 will always be 2 and 9.4 will always be 9.4. On the other hand, the values of variables can change. Take, for example, the variable 2x. When x = 1, 2x = 2 and when x =2, 2x = 4 so the value of 2x can change depending on what x is. You can't combine constants and variables because they are not like terms, basically, one can change and the other can't and you cannot combine terms that are not like each other.
Maria sold t-shirts at a festival. She made 6$ for each t-shirt she sold. Her expenses were 30$. If she made a profit of 84$, how many t-shirts did she sell?
The graph of function f is shown. Function g is represented by the equation. Look at the graph and picture!
Answer: B) different y intercepts; same end behavior
=======================================================
Explanation:
The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.
The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function
g(x) = 4(1/4)^x + 2
g(0) = 4(1/4)^0 + 2
g(0) = 6
So we can see the y intercepts are different.
----------
However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.
In terms of symbols, [tex]x \to -\infty, y \to \infty[/tex]
----------
For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.
In terms of symbols, [tex]x \to \infty, y \to 2[/tex]
Solve for x: -2x - 4 > 8
x<-6
X > -6
x<-2
x>-2
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
-2x > 12
x < -6, you have to flip the inequality when you multiply or divide by a negative
Answer:
a
Step-by-step explanation:
I will rate you a brainlest☆
Answer:
A 0.6 0.9 1.2 1.5 1.8
B 3/8 5/8 7/8 9/8 11/8
C -7 -5 -3 -2 -1
D 1, 1 1/3, 1 2/3, 2, 2 1/3
E 0.61 0.72 0.83 0.94 1.05
Step-by-step explanation:
Answer:
A. x x 1.2 1.5 1.8
B. 3/8 x x x 1 2/8
C. x x -3 -2 -1
D. 0 x x x 5 1/3
E. x x 0.83 0.94 1.05
Step-by-step explanation:
hope it helped
Clinton is having a coin drive. Each class has a goal of 600 pennies.Layla has already collected 338 pennies. How many more pennies does Layla need to collect to reach their goal. PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST PLEASE AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
262 pennies
Step-by-step explanation:
If Layla already has 388 pennies and she needs 600 pennies total, all she needs to do is is take the amount she already has away from 600:
Find the nth term of 4,8,14,22
Answer:
2n+2
Step-by-step explanation:
the common difference is 4,6,8
again the common difference of 4,6,8 is 2,2
hence its common difference is 2
now, nth term,=a+(n-1) *d
4+(n-1)*2
4+2n-2
2n+2
What number increased by 15% equal 161
Answer:
100%+15% = 115%
proportionally:
x - 100%
161 - 115%
x = (161 * 100%) / 115% = 140
Answer:
[tex]\Large\boxed{140}[/tex]
Step-by-step explanation:
[tex]\sf Let \ x \ be \ the \ number.[/tex]
[tex]\sf x \ increased \ by \ 15\% \ is \ 161.[/tex]
[tex]x \times (1+15\%)=161[/tex]
[tex]x \times (1+0.15)=161[/tex]
[tex]x \times (1.15)=161[/tex]
[tex]\displaystyle \frac{x \times (1.15)}{1.15}=\frac{161}{1.15}[/tex]
[tex]x=140[/tex]
What is the value of a in the given figure
Answer:
soln
let one side be c
let another side be d
then
40=d(vertically opposite angle)
5a =c(vertically opposite angle)
again
c+90=180(being linear pair)
or, c=180-90
therefore, c=90
finally
let c be a
5a=5×90
=450
Answer:
a = 10
Step-by-step explanation:
CF is a straight line , so the 3 angles on it sum to 180° , then
∠ BOA = 180° - (90 + 40)° = 180° - 130° = 50°
∠ DOE = ∠ BOA ( vertical angles ) , then
5a = 50 ( divide both sides by 5 )
a = 10
ASAP!!! PLEASE
A pair of equations is shown below: y = 2x − 1 y = 4x − 5 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
Step-by-step explanation:
526 133 3821
P: 12345
j _o _I _n g _I _r l
o. n z-oo-o-m
I'll give brainliest :)
Are the lines y = –x – 4 and 5x + 5y = 20 perpendicular? Explain.
Yes; the product of their slopes is −1.
Yes; their slopes are equal.
No; their slopes are equal.
No; their slopes are not equal
Answer:
C
Step-by-step explanation:
In the equation y = -x - 4, the gradient is -1.
While in the second equation,
5x + 5y = 20
y = -x + 4
So the gradient is -1 too
Both sides are not perpendicular to each other because if you apply the formula, m1m2 = -1, and if substitute both gradient, (-1)(-1) = 1 ≠ -1
Therefore, no they are not perpendicular but parallel instead.
Answer: C
Step-by-step explanation:
Look above fool
A cylinder has a radius of 2.8 in and a height of 2.4 in. Which cylinder is similar?
(p.s. the pic is the awnser choices)
also if you can awnser this xan you awnser it asap im currently taking a test thanks :)
Answer:
option 2 with radius of 1.4 in, and height of 1.2 in.
Step-by-step explanation:
If two cylinders are similar, the ratio of one cylinder's radius to its height must be the same as that of the other.
To know which cylinder is similar to the given cylinder with radius 2.8 in and height of 2.4 in, find the ratio, and compare with the ratio of the options provided. The option with the same ratio, is the cylinder that is similar.
This,
The given cylinder => radius : height = [tex] \frac{2.8}{2.4} = \frac{0.7}{0.6} = \frac{7}{6} [/tex]
First option:
Radius : height = [tex] \frac{1.8}{1.4} = \frac{0.9}{0.7} = \frac{9}{7} [/tex]
Second option:
Radius : height = [tex] \frac{1.4}{1.2} = \frac{0.7}{0.6} = \frac{7}{6} [/tex]
Third option:
Radius : height = [tex]\frac{5.6}{4.2} = \frac{0.8}{0.6} = \frac{0.4}{0.3} = \frac{4}{3}[/tex]
Fourth option:
Radius : height = [tex] \frac{2.4}{2.8} = \frac{0.6}{0.7} = \frac{6}{7} [/tex]
The correct option with the cylinder that is similar with the given cylinder is option 2 with radius of 1.4 in, and height of 1.2 in.