Step-by-step explanation:
w = 34° (alternate interior angles)
x = 34° (vertically opposite angles)
y = 101°
z = 79° (corresponding angles)
4x+9/y+11=0 and 6/y -3x=8
9514 1404 393
Answer:
(x, y) = (-2 12/17, -51)
Step-by-step explanation:
Here is the answer to ...
[tex]4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8[/tex]
If you mean something else, then parentheses are needed.
__
Let z = 1/y. Then the equations in general form are ...
[tex]4x+9z+11=0\\3x-6z+8=0[/tex]
The solution (cross multiplication method) is ...
x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17
z = (11·3 -8·4)/-51 = -1/51
y = 1/z = -51
The solution is (x, y) = (-2 12/17, -51).
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without
looking, how many ways can you get 5 apples?
Answer:
6 I think
Step-by-step explanation:
What is the value of tan 0 in the unit circle below?
Answer:
1 / sqrt(3)
Step-by-step explanation:
tan(o) = sin(o) / cos(o)
sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.
cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.
so,
tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)
Barbara, a school superintendent, asks the local school board for permission to hire an additional teacher whenever the student enrollment at a certain grade level within a school increases by 35 students beyond capacity. This is an example of which type of decision
Answer:
Programmed
Step-by-step explanation:
Programmed Decisons may be classified as those actions which are routinely carried out or performed based on existing rules and protocol. In programmed decision making, the rules are in place, therefore once the criteria or requirement for which the rule or routine is to be enforced arises, programmed Decisons are made. In the scenario, the superintendent required that a programmed Decison be made in cases or situations where enrollment increases by 35 student beyond capacity, Hence, with this, every time this occurs the additional teachers will be hired.
Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
as angles of two triangles are equal, so they are similar.
x/17 =35/14=40/16
x/17=35/14
x=35/14×17=85/2=42.5
perimeter of ΔJKL=40+35+42.5=117.5
Record the length of these
segments
PC =
PC' =
units
units
There's all the lengths so you don't have to search them all up
What number should be subtracted from -3/4 to get 5/6?
Answer:
Let that rational number to be subtracted be x.Given,-5/6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.
Step-by-step explanation:
I need help with my math!!!
Answer:
[tex]y = |x+2|+1[/tex]
Step-by-step explanation:
Set up a proportion to solve for x in the following similar triangles.
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)
La potencia que se obtiene de elevar a un mismo exponente un numero racional y su opuesto es la misma verdadero o falso?
Answer:
Falso.
Step-by-step explanation:
Sea [tex]d = \frac{a}{b}[/tex] un número racional, donde [tex]a, b \in \mathbb{R}[/tex] y [tex]b \neq 0[/tex], su opuesto es un número real [tex]c = -\left(\frac{a}{b} \right)[/tex]. En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:
(a) El exponente es cero.
(b) El exponente es un negativo impar.
(c) El exponente es un negativo par.
(d) El exponente es un positivo impar.
(e) El exponente es un positivo par.
(a) El exponente es cero:
Toda potencia elevada a la cero es igual a uno. En consecuencia, [tex]c = d = 1[/tex]. La proposición es verdadera.
(b) El exponente es un negativo impar:
Considérese las siguientes expresiones:
[tex]d' = d^{-n}[/tex] y [tex]c' = c^{-n}[/tex]
Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:
[tex]d' = \left(\frac{a}{b} \right)^{-n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}[/tex]
[tex]d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]y [tex]c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{b}{a} \right)\right]^{n}[/tex]
Si [tex]n[/tex] es impar, entonces:
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = - \left(\frac{b}{a} \right)^{n}[/tex]
Puesto que [tex]d' \neq c'[/tex], la proposición es falsa.
(c) El exponente es un negativo par.
Si [tex]n[/tex] es par, entonces:
[tex]d' = \left(\frac{b}{a} \right)^{n}[/tex] y [tex]c' = \left(\frac{b}{a} \right)^{n}[/tex]
Puesto que [tex]d' = c'[/tex], la proposición es verdadera.
(d) El exponente es un positivo impar.
Considérese las siguientes expresiones:
[tex]d' = d^{n}[/tex] y [tex]c' = c^{n}[/tex]
[tex]d' = \left(\frac{a}{b}\right)^{n}[/tex] y [tex]c' = \left[-\left(\frac{a}{b} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}[/tex]
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}[/tex]
Si [tex]n[/tex] es impar, entonces:
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = - \left(\frac{a}{b} \right)^{n}[/tex]
(e) El exponente es un positivo par.
Considérese las siguientes expresiones:
[tex]d' = \left(\frac{a}{b} \right)^{n}[/tex] y [tex]c' = \left(\frac{a}{b} \right)^{n}[/tex]
Si [tex]n[/tex] es par, entonces [tex]d' = c'[/tex] y la proposición es verdadera.
Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.
Through any two points there is exactly one _____
space.
plane.
line.
point.
Answer:
C. Line
Is the correct answer
Factor -1.8 out of 3.6b-9
=================================================
Explanation:
Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.
The same thing applies to this current problem as well.
Divide each term by the -1.8 we want to factor out.
(3.6b)/(-1.8) = -2b(-9)/(-1.8) = 5The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)
You can use distribution to verify this
-1.8(-2b+5)
-1.8*(-2b) - 1.8*(5)
3.6b - 9
identify the equation of the line graphed below
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
pls help, i have class rn :(
in how many ways can alice distribute 12 apples to 3 children (a child can have no apples)
Is the discriminant of f positive, zero, or negative?
Answer:
It might be negative, I'm not sure, but I feel postive about that answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The discriminant is zero because the graph of the parabola is on the x axis.
7x-3=5x+9 solve for x
Given :-
7x - 3 = 5x + 9To Find :-
The value of x.Solution :-
Taking the given equation ,
=> 7x -3 = 5x + 9
=> 7x - 5x = 9 + 3
=> 2x = 12
=> x = 12 ÷ 2
=> x = 6
Hence the required answer is 2 .
a)if A×B ={(1,2),(2,3),(1,3),(2,2),(3,2),(3,3)} find i) set A ii) set B.i need for exam
Answer:
soln,
set A ={ 1,2,3}
set B ={2,3}
URGENTT!!!! help quick please
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
At the beginning of the chemistry experiment, Lisa measured the temperature of a liquid to be -5°C. During the experiment, she measured the liquid 3 times and the results showed, its dropped 9°C, rose 25°C, and drop 15°C. What was the liquid temperature at the end of the experiment?
Answer:
-4°C
Step-by-step explanation:
At the beginning of the chemistry experiment the temperature of the liquid was -5°C and it dropped 9°C so you do:
-5°C - 9°C = -14°C
The answer is -14°C for the first part of the question because when you are subtracting a positive number from a negative number you have to add the two numbers together but your answer will always be a negative number.
Then you add 25°C to -14°C:
-14°C + 25°C = 11
Because when adding a negative number to a positive number that is bigger than the negative number you have to subtract but your answer will always be a positive number, however if the positive number is smaller than the negative number your answer will be a negative number.
Then you subtract 11°C from 15°C:
11°C - 15°C = -4°C
Because when you subtract a number that is bigger than the first number you get a negative number.
A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?
Between 20 to 35 degrees north latitude, and also between 20 to 35 degrees south latitude are found:
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Its area includes all Sahara's locations in North Africa, South Arabia, Iran's and Iraq's larger parts, North-Western India, California throughout the United States, South Africa but most of Australia.
Half-arid temperatures include places like the Utah, Montana, and Gulf Coastal regions of sagebrush. Also, it comprises regions in Iceland, Russia, Scandinavia, Greenland, and Northeast India. Semi-arid thankless than tube called per year of rain and up to 20 inches per year at much more than arid deserts.
Regions from of the latitude of 25° to 35° usually develop desert, because air sinks and is heated under pressures in this area. The world's dry and semi-arid desert regions are between 20°C and 35°C north latitude and between 20°C and 35°C South latitude.
At the beginning of year 1, Matilda invests $450 at an annual simple interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 15? What is the balance?
Answer:
$765
Step-by-step explanation:
[tex]interest \: = \frac{prt}{100} \\ = \frac{(450)(5)(14)}{100} \\ = 315 \\ total \: money \: = 315 + 450 \\ = 765[/tex]
A(n) = 450 + (n – 1)(0.05 • 450); $765.00
Find the solutions of the equation 3x = x4, rounded to two decimal places. (Enter your answers as a comma-separated list.)
Answer:[tex]-0.802; \ 1.517[/tex]
Step-by-step explanation:
Given
[tex]3^x=x^4[/tex]
Here, two functions are given that is [tex]y=3^x[/tex] and [tex]y=x^4[/tex]
Check for the intersection of the graph of two curves
From the graph, they cut at two different points i.e. [tex]x=-0.802\ \text{and}\ x=1.517[/tex]
Rest two roots are negative.
Find the measure of the missing angle using exterior angle sum theorm
Answer:
35
Step-by-step explanation:
The exterior sum theorem states the exterior angle is equal to the sum of the opposite interior angles
145 = ?+110
145 - 100 = ?
35 = ?
Complete the similarity statement for the two triangles shown
40 m
15 m
30 m
25 m
>H
Enter your answer in the box
20 m
50 m
S
F
ACHS ~A
Answer:
TFY
Step-by-step explanation:
let's start with the 90 degrees angle.
this is C in the first, and T in the second triangle.
so, C and T must be aligned.
and the we go around.
F ~ H
and then
Y ~ S
what is the ratio of Sin 45°?
Answer:
1/√2
Step-by-step explanation:
The value of sin 45 is 1/√2
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
options are on the picture:)
Answer:-
The option B is the right answer.
Solution:-
[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]
[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]