Answer:
b = -2
Step-by-step explanation:
Choose all the factors of 5. (Check all that apply.)
1
3
5
2
4
Answer:
5 and 1
Step-by-step explanation:
5 = 5 * 1
Is the triangle obtuse, acute, equilateral or right?
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
State if is they are functions or not by filling in the blanks yes or no.
For a function, each x term must correspond to exactly one y term. We can use the vertical line test to determine whether or not that holds true for the following 6 graphs. If each x term corresponds to exactly one y term, then any vertical line that we draw on the graph should hit the graph at only one point.
1. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
2. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
3. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
4. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
5. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
6. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
Answer:
yeah the other person is correct
Step-by-step explanation:
Please Help!!
A) vertical angles
B) complementary angles
C) supplementary angles
D) none of the above
Need Help Please with q2 & q4!!
Question 2: ARITHMETIC SEQUENCES AND SERIES
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two and describe any simplification that can be done.
Question 4: GEOMETRIC SEQUENCES
Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)^x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answer:
Question 2: The first function represents the amount of money she'll have from her 450 under her bed.
s(x) = 450
The second function represents the amount of money she'll earn from babysitting per hour (x):
a(x) = 6(x - 2)
To figure the combined amount, we can add the two functions:
f(x) = s(x) + a(x)
f(x) = 450 + 6(x - 2)
From there, she can simplify the function by distributing, then combining the like terms to simplify:
f(x) = 450 + 6x - 12
f(x) = 438 + 6x
Answer:
f(x) = 438 + 6x
Question 4: His functions are;
h(x)=$350
s(x)=(1.04)^x-1
To find total amount of money in Tommy's account using the functions above, we substitute the first equation x=$350 in the second function.
PLEASE HELP FAST, I CANT GET IT WRONG
Answer: I think it is 12 divided by 7
Which of the following is the solution to the inequality below? 5x - 6 [tex]\leq[/tex] 14
A) x [tex]\leq[/tex] - 4/5
B) x [tex]\geq[/tex] 4
C) x [tex]\geq[/tex] - 4/5
D) x [tex]\leq[/tex] 4
Answer:
D. x [tex]\leq[/tex] 4
Step-by-step explanation:
1. You add 6 to each side
2. Divide each side by 5 to isolate x
Answer:
answer is A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
please help thank you!!!
Answer:
y = -180 + 3x
Step-by-step explanation:
Because AB = AC -> ABC is a isosceles triangle -> B = C
Because AB = BD -> ABD is an isosceles triangle -> A = D -> x = D
We have ADB + ADC = 180 -> x + ADC = 180 -> ADC = 180 - x (1)
We have x = D, and BAD + ADB + ABD = 180 -> ABD = 180 - 2x but B = C -> C = 180 - 2x (2)
With (1) and (2) We have DAC + ACD + ADC = 180
-> y + 180 -2x + 180 -x = 180
-> y + 360 - 3x = 180
-> y = -180 + 3x
Answer:
y=3x-180
Step-by-step explanation:
Above working is my step by step solution. Thank you.
find the first four terms and the tenth term
a) 3n^2
Step-by-step explanation:
3n^2
First term => n=1 => 3(1)^2 =>3
Second term => n=2 => 3(2)^2 =>3x4=12
Third term => n=3 => 3(3)^2 =>3x9=27
Fourth term => n=4 => 3(4)^2 =>3x16=48
Tenth term => n=10 => 3(1)^2 =>3x10=300
Answer:
{3, 12, 27, 48, 300}
Step-by-step explanation:
For the first four terms, n = {1, 2, 3, 4}. For the tenth, n = {10}.
Then, applying the formula a(n) = 3n^2 to n = {1, 2, 3, 4, 10}, we get:
{3(1)², 3(2)², 3(3)², 3(4)², 3(10)²} = {3, 12, 27, 48, 300}
simplify
(x^a.x^b)^a-b*(x^b.x^c)^b-c*(x^c.x^a)^c-a
step by step..
Answer:
= x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Answer:
x(a+b)(a-b) . x(b+c)(b-c) .x(c+a)(c-a)
Hope it helped!
Leon used the number line below to show -5 + 4. explain what is wrong with his model.
Help pls, can you solve for x?
Answer:
X=1.5, but I may be incorrect, hope this helps!
Step-by-step explanation:
FACTS I KNOW:
X has to be less than 2 but greater than 1
Angle B and D are 90 degrees
The complete bottom side is equal to 10
All triangle angles add up to 180 degrees
All angles in rectangles and squares are 90 degrees
All rectangles have 2 sets of 2 of the same sides.
If you take a piece of the top right you could make a rectangle
It would take about .5 of the 2
Therefore X=1.5 approximately, but I may be wrong.
PLEASE HELP Which of the following statements correctly describes the counting principle?
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
The counting principle lets you subtract the number of options per category to find the total number of possible outcomes.
The counting principle lets you divide the number of options per category to find the total number of possible outcomes.
The counting principle lets you add the number of options per category to find the total number of possible outcomes.
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
1/42
Step-by-step explanation:
4/7 - 23/42 = 24/42 - 23/42 = 1/42
What is 27/40 as a decimal? Explain how you got your answer.
I need help with this question. Question in image.
Show working out to answer
Answer:
Step-by-step explanation:
38
In which line is an error first made when solving the equation below? -18 = 19z -9
Line One = z -9
Line Two = 11 = z
Line Three = z = 11
* Choose one of the following, A, B, C, D.*
A) no mistake was made
B) line 3
C) line 2
D) line 1
NO LINKS
A small pot holds 75% as much as a large pot.
If a small pot holds 36 units, how much does the large pot hold?
Answer:
63 units!!
Step-by-step explanation:
36x.75= 27
Add 27 to 36 to get the large pot.
Answer:
The large pot can hold 48 units of water.
Step-by-step explanation:
small pot holds 75% water of a large pot
small pot holds 36 units
let x be quantity of water in large pot
According to the question,
75% of x = 36 units
75/100 * x= 36
75x/100= 36
75x= 36*100
75x= 3600
x= 3600/75
x= 48 units
The large pot can hold 48 units of water.
Please mark me as brainliest.
ple heeeeelp TT eeeee
Answer:
you're right it is ASA
Step-by-step explanation:
the angles that correspond are both next to one side
Answer:
Angle R= Angle V (given)
Angle Q = Angle T (given)
RQ = VT (given)
Therefore ∆PQR is congruent to ∆UTV
6th grade math
(–27) ÷ (–9 ÷ 1/9)
[tex]\displaystyle\ \boldsymbol{(-27)\div(-9\div\frac{1}{9})=-27\div(-9\cdot9)=} \\\\\boldsymbol{-27\div-81=\boxed{\frac{1}{3}} }}[/tex]
if 29 cos 0=21 find the value of 1/sin0-tan0..
Answer:
Middle School mathematics still murky?
Clear things up with an instant 1 on 1 tutoring sesh
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
A) 2
B) 5
C) 20
D) 80
Answer:
Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two v
Step-by-step explanation:
Use the drop-down menus to complete each equation so the statement about its solution is true.
Answer:
7x+5
Step-by-step explanation:
2x+5+2x+3x
=2x+2x+3x+5
=7x+5
Please help will give brainliest
Answer:
B) 28 inches.
Step-by-step explanation:
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.
And we want to find the length of the shorter ribbon from the two remaining pieces.
We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:
[tex]\displaystyle \frac{1}{8}L=9[/tex]
Where L represents the total length of the ribbon.
Solve for the total length:
[tex]\displaystyle L=72\text{ inches}[/tex]
So, the original length of the ribbon was 72 inches.
Since we threw away 9 inches of it, we now only have 63 inches.
This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:
[tex](4x)+(5x)=63[/tex]
Solve for x:
[tex]9x=63\Rightarrow x=7[/tex]
Hence, the two remaining ribbons measure 28 inches and 35 inches.
Therefore, our answer is B.
Marcus was training for a 2,000 meter race. He had to alternate between running and walking.
Problem
If Marcus ran 1,600 meters, which statement is true?
Answer:
if marcus ran 1,600 meters that means he walked 400 meters
Step-by-step explanation:
(08.05)The box plot shows the number of years during which 24 colleges have participated in a local college fair:
Years of Participation
0
10
5
Years
At least how many schools have participated for 2 years or fewer?
2schools
4schools
6schools
7 schools
What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle
Answer:
Step-by-step explanation:
abd
Plz help, asap!!
This is a triangular prism
perimeter of the base is:
Height is:
Base area is:
Volume is:
Surface area is:
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
surface area:
Sorry I forget how to do surface area.
Answer:
Perimeter of base: 50 cm
Height: 30 cm
Base area: 60 cm
Volume: 21,600 cm
Surface area: I am sorry I forget how to do surface area, but I hope everything else helps.
Step-by-step explanation:
perimeter of base: 50 cm
13+13=26+24=50
Height: 30 cm
already shows height.
Base area: 60 cm
1) 24/2=12 2) 5*12=60
Volume: 21,600 cm
Length*Base*height/2=24*60*30=43,200/2=21,600
The sum of twice a number and 13 is 47. Find the number.
Answer: 17
Step-by-step explanation:
In this problem, the phrase "a number" can be interpreted as a variable. In this case, let the variable be "x."
Thus, "twice a number" = "2x"
"and 13" = "+ 13"
"is 47" = "= 47"
Thus, the problem is simply 2x + 13 = 47.
Then, simply subtract 13 from both sides to get 2x = 34.
Then, simply divide both sides by 2 to get x = 17.
Because "the number" is "x," the number is 17.
Hope it helps :) <3 and lmk if you need more help
17
Step-by-step explanation:
you represent the unknown by a variable
for example X
2x +13=47
Hello! Please help ASAP!!!
Turn this problem into a Pythagorean Theorem diagram
DRAW A DIAGRAM!! I ONLY NEED THE DIAGRAM
Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.
Answer:
So put the car at a dot at (0,7)
Aleena is at (4,7)
the starbucks is at (0,0)
Hope This Helps!!!