Answer:
(-18,9)
Step-by-step explanation (work shown in picture attached):
1) The first step in solving by substitution is to isolate the y-term in one of the equations if it is not already isolated. Isolate y in the first equation by dividing both sides by -2. This leaves us with the equation [tex]y = \frac{-x}{2}[/tex]
2) Now, substitute [tex]\frac{-x}{2}[/tex] for the y in the second equation. Simplify and isolate x. (You can multiply everything by -2 to get rid of the fraction.) This leaves us with x = -18.
3) We've found the x-value of the solution, -18. Now, substitute -18 for x back into one of the original equations (I chose the first one because it was simple) and isolate y. This gives us y = 9. Thus, in point form, the answer is (-18,9).
The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.
What is the distance between the villages on the map?
Enter your answer in the box.
Answer:
30 centimeters
Step-by-step explanation:
I hope this helps
Answer:
what he said
Step-by-step explanation:
2% of the ducks in a pond have a fluffy tail. If 4 ducks have a fluffy tail, how many ducks are in the pond. Please answer best answer gets brainliest.
Answer:
200
Step-by-step explanation:
just look up 2% of 4 is what and you will get the same answer
2.In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.
What is the length, in centimeters, of AC?
ASAP BEFORE TOMORROW 11
Answer:
AC = 12
Step-by-step explanation:
From the question, we have that BD is perpendicular to AC
This means that it is at 90 degrees to the base
so we have two similar right triangles
Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)
Let us call the leg x
We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides
10^2 = x^2 + 8^2
100 = x^2 + 64
x^2 = 100-64
x^2 = 36
x = √36
x = 6
AD = DC = 6
AC = 2 * AD
AC = 2 * 6
AC = 12
I think you might need Desmos for graphing?? Explain your answer!
Yes you are correct! This equation will make a parabola. The width when the arch is at ground level would be the x-intercepts, or zeros, of the parabola.
The vertex point is (0,12)
the axis of symmetry is 0
The zeros are (-4,0) and (4,0)
using the zeros take away the negative because something cant be negative feet wide and add the numbers together (4+4)
Your answer is 8
i attached the graph
Hope this helps you!
P.S. Can i get brainliest? :)
the cost of 3 DVDs and 4 CDs £62.00. the cost of 4 DVDs and 3 CDs is £64.00.find the cost of each.
hellllp
Answer:
x = 10; y = 8
Step-by-step explanation:
Let
DVDs = x
CDs = y
3x + 4y = 62 (1)
4x + 3y = 64 (2)
Multiply (1) by 4 and (2) by 3 to eliminate x
12x + 16y = 248 (3)
12x + 9y = 192 (4)
Subtract (4) from (3)
16y - 9y = 248 - 192
7y = 56
y = 56/7
y = 8
Substitute y = 8 into (1)
3x + 4y = 62
3x + 4(8) = 62
3x + 32 = 62
3x = 62 - 32
3x = 30
x = 30/3
x = 10
x = 10; y = 8
A linear sequence (i.e. where the 1st difference is always the same) has 5th term 6 and 92nd term 354. What is the 57th term?
Answer:
I dont know xDDDDDDDDDD
Answer:
a₅₇ = 214
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ = 6 and a₉₂ = 354 , then
a₁ + 4d = 6 → (1)
a₁ + 91d = 354 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 87d = 348
87d = 348 ( divide both sides by 87 )
d = 4
Substitute d = 4 in (1) and solve for a₁
a₁ + 4(4) = 6
a₁ + 16 = 6 ( subtract 16 from both sides )
a₁ = - 10
Then
a₅₇ = - 10 + (56 × 4 ) = - 10 + 224 = 214
Can someone help me please?
Answer:
So the answer is 2^-3
Step-by-step explanation:
The principle is the same no matter what the base.
Log_2 (7) + Log_2(3/28) - Log_2(6)
+ means multiply
- means divide
Log_2(7 * 3/28 /6)
Log_2(7/6 * 3/28)
Log_2(1/2 * 1/4) 3 divides into 6 twice. 7 divides into 28 four times
log_2 (1/8)
This is equivalent to 2^(-3)
What is the value of x? (SOMEONE PLEASE HELP ME OUT BRO PLEASEEEEE IGNORE THE 9 smh)
Answer:
x=28
Step-by-step explanation:
Sum of all the angles in the triangle add up to equal 180
90 + x + 6 + 2x = 180
combine like terns
96 + 3x = 180
subtract 96 from each side
180-96=84
96-96 cancels out
3x=84
divide each side by 3
84/3=28
3/3 cancels out
x=28
The1AndOnlyMarkus
=========================================
Explanation:
The quadrilateral shown is a kite since we have adjacent sides that are the same length (due to the similar tickmarks). The diagonals of any kite intersect to form a 90 degree angle.
The triangle in the lower left corner has the three angles of
90x+62xThose three interior angles must add to 180. This is true of any triangle.
90+(x+6)+(2x) = 180
3x+96 = 180
3x = 180-96
3x = 84
x = 84/3
x = 28
In a certain Algebra 2 class of 30 students, 8 of them play basketball and 10 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Help me
How do u do this
Answer:
second one and I don't know how to do it sorry is it a
Step-by-step explanation:
can you help me with my question
A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years?
Answer:
the answer is 915
Step-by-step explanation:
tell me if I'm wrong okay
How do find the area of this figure? Answer ASAP Tysm
Answer:
26
Step-by-step explanation:
6+10+10=26
Answer:
80m²
Step-by-step explanation:
area of rectangle-&10m×6m=60m²
10m-6m=4m
10m×4m=40m²
area of triangle->40m²÷2=20m²
area->60m²+20m²=80m²
Helppppp what is the answerrrr????
please help me it is timed and i am running outta time
Answer:
In ∆RST and ∆XYZ
RS=YZ(S)
angle RST=angle XYZ(A)
ST=YZ(S)
hence ∆RST ≠~∆XYZ
plz help
A line passes through the point (2,1) and has a slope of 7/2 Find
the equation of the line.
Answer:
1/7 and 2/2
Step-by-step explanation:
what are three ratios that are equivalent to 6/7
14 and 21 and 18
is three of them
Answer: 6/7 (2/2) = 12/14
(3/3) = 18/21
(4/4) = 24/28
Chad hiked to a famous point with a beautiful view. It took 1 hour and 15 minutes to hike to the viewpoint and 30 minutes to hike back. Chad spent 1 hour enjoying the view at the top. He finished the hike at 4:00 P.M. What time did Chad start the hike to the viewpoint?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
Step-by-step explanation:
t+1.25+.5+1=4
t=1.25 hours, .25hr=15 minutes so Chad started at
1:15p.m.
Helppp plzzz I will mark brainliestttt
Answer:
23.8 km
Step-by-step explanation:
At the store, Jan bought 1.25 pounds of roast beef, 2 pounds of ham, and 0.8 pounds of
turkey. How many pounds of deli meat did Jan buy in all?
Answer:
4.05
Step-by-step explanation:
1.25+2+0.8
3.25+0.8
4.05
Answer:
4.05
Step-by-step explanation:
did the math
The milligrams of a asprin in a persons body is given by the equation a=500 (3/4)^t where the t is the numbers of hours since the patient took the medicine. How much asprin will be in the patients body after two hours
Answer: 281.25 milligram
Step-by-step explanation:
Given
Milligrams of aspirin left after t hours is given by
[tex]\Rightarrow a=500(\frac{3}{4})^t[/tex]
for [tex]t=2\ hr[/tex]
[tex]\Rightarrow a=500(\frac{3}{4})^2\\\Rightarrow a=500\times (0.75)^2=281.25\ \text{milligram}[/tex]
Bill tiene un trabajo a tiempo parcial y le pagan cada hora la misma cantidad. Cada hora que trabaja aparta $6 para dárselos a su mamá. Bill trabaja 3 horas al día y la cantidad total con que se queda cada día es $24. ¿Cuánto le pagan cada hora?
Answer:
A Bill le pagan $14 cada hora.
Step-by-step explanation:
Para conocer la cantidad que a Bill le pagan cada hora, se define una ecuación.
Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos. Es decir, una ecuación se define como una igualdad establecida entre dos expresiones, en la cual puede haber una o más incógnitas que deben ser resueltas.
En este caso, es conveniente definir la siguiente incógnita:
x: cantidad que le pagan a Bill cada horaSi cada hora que trabaja Bill aparta $6 para dárselos a su mamá, entonces cada hora recibirá: x - 6
Bill trabaja 3 horas al día, por lo que en ese día recibirá 3horas*(x-6). Y si la cantidad total con que se queda cada día es $24, entonces la ecuación a resolver será:
3*(x -6)= 24
Resolviendo, obtienes:
3*x - 3*6= 24
3*x - 18= 24
3*x= 24 +18
3*x= 42
x= 42÷ 3
x= 14
Entonces, a Bill le pagan $14 cada hora.
if f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is
the answer is A. fggggggggtggg
Help me please and thank you
Answer:
B
Step-by-step explanation:
You just count the dots and check the tables.
Ayuda es para un examen
What is the y-intercept of the line that is perpendicular to y = −3x − 5 and passes through the point (−3, 7)?
NEED BEFORE 11:59 ASAP
Answer:
b=8
Step-by-step explanation:
Perpendicular lines are negative and reciprocal; when you multiply the slopes together, the result is -1.
we are given the line y=-3x-5
we need to find the slope of the new line. To do that, we can use this equation:
-3m=-1
divide by -3 on both sides
m=1/3
so the slope of the perpendicular line is 1/3
We can write our line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, which is what we need
so far our equation is:
y=1/3x+b
we need to find b
we can substitute the point (-3,7) into the equation, since the line will pass through it to solve for b
so:
7=1/3(-3)+b
7=-1+b
8=b
so the y intercept of the line is 8; as a point it's (0,8)
hope this helps!
Math one question WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
Dilation reduces or enlarges the size
Translation moves the shape within the quadrant
Rotation about the origin changes the orientation and the location to another quadrant.
What is 500 time 200 i konw it do you
Answer:
100,000
Step-by-step explanation:
PLEASE HELP!!!! The class was given this problem and asked to solve for "x". Craig says that x = 11/cos(37). Laura disagrees and says that x = 11/sin(53). Who (if anyone) is correct?
Answer:
both
Step-by-step explanation:
they are both correct. sin and cosine are complements (90-x) of each other ( that's where cosine gets its name).
bonjour, j’ai un dm de math mais je ne comprends pas :
La mère de Julien lui a choisi un forfait de téléphone mobile
à 14,90 €. Elle explique à son fils que, pour ce prix, il peut téléphoner
60 minutes et envoyer 30 SMS. S'il dépasse son forfait, cela lui
coûtera 0,36 € par minute supplémentaire et 0,12 € par SMS
supplémentaire.
On note t (en minutes) la durée totale pendant laquelle Julien a téléphone et s le nombre total
de SMS qu'il a envoyés. En supposant que Julien dépasse à la fois les 60 min et les 30 SMS de son
forfait :
1) Exprimer en fonction de t (resp. en fonction de s) la somme supplémentaire que devra payer
Julien en ce qui concerne ses appels (resp. en ce qui concerne ses SMS).
2) En déduire l'expression, en fonction de t et s, de la somme totale que devra payer Julien
en cas de dépassement de son forfait tant au niveau des appels que des SMS.
3) Au cours des quatre derniers mois, Julien a répertorié dans un tableau ce qu'il a exactement
consommé. Recopier et compléter son tableau.
Temps de communication
(en minutes)
75
65
Mai
Juin
Juillet
Août
Nombre de SMS envoyés Prix à payer (en euros)
35
41
47
50
80
87
Answer:
the answe're is that i don't underatamd the language first
3/4( x + 8 )=9 Solve for x: x=
Answer:
4
Step-by-step explanation:
Multiply 4/3 to both sides to cancel out the 3/4 on the left.
Next, subtract 8 from both sides to cancel out the 8 on the left.
This should result in the equation x = 4!
Answer:
x = 4
Step-by-step explanation:
3/4 times x = 3/4x
3/4 times 8 = 6
9 - 6 = 3
3 / (3/4) = 4
I hope this helps :)