Answer:
Step-by-step explanation:
which equation best matches the graph shown below ?
7.
Would the following angle measures form a triangle?
70°, 80°, 45°
a) No
I b) Yes
Answer:
A
Step-by-step explanation:
The measure of the angles of a triangle = 180
70 + 80 + 45
150 + 45
195 degrees
195 > 180
So, A) No
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.
Answer:
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Step-by-step explanation:
Given
[tex]p =1[/tex] -- Leading coefficient
[tex]Zeros: 4\ and\ 3 - i[/tex]
Required
Determine the polynomial
Represent the zeros with a and b
Such that
[tex]a = 4[/tex]
[tex]b = 3 - i[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b)[/tex]
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]
However, to solve further: We need to symmetrise over 3-i and its conjugate
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]
[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]
To define a suitable function, the expression becomes
[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]
[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]
Open bracket
[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]
[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
what does the variable x represent?
Number of boys number of girls 11:9 there is 124 more boys than girls work out the number of students at the school
Answer:
1240
Step-by-step explanation:
Number of boys to a girl is
x:y= 11:9
9x= 11y
There are 124 more boys in the schooll than girls
x= 124+y
Substitute 124+y for x
9(124+y)= 11y
1116+9y= 11y
1116= 11y-9y
1116= 2y
y= 1116/2
y= 558
Number of girls is 558
The number of boys can be calculated as follows
= 558+124
= 682
Hence the total number of students is
= 682+558
= 1240
A formula to convert euros into pounds and p is the number of pounds and e is the number of euros.
p = e/1.2
Convert into pounds 12 euros
Step-by-step explanation:
p=e/1.2
insert 12 e into the formula
p=12/1.2
10 pounds
Select all expressions equivalent to 9(2x - 5)
(select 2 btw)
18x - 5
3(6x - 5)
18x - 45
3(6x- 15)
PLEASE PLEASE PLEASE ANSWER THESE ASAP!!! I HAVE COURT IN 8 HOURS AND I HAVE TO RAISE MY GRADE UP!!!!
1. If a 40 foot tall ladder is placed 15 feet from the base of a house, how high up the house will the ladder reach?
2. Starting from the same spot in the woods, Presley ran 24 meters North to camp while her sister Ava ran 16 meters west. From this point, how far will Ava need to travel to reach camp
Answer:
Hope this helps! If I could have brainliest I'm trying to rank up :)
Step-by-step explanation:
1.x = 37.08 feet
Using the Pythagorean Theorem:
x^2 + 15^2 = 40^2
x^2 + 225 = 1600
x^2 = 1600 - 225
x^2 = 1375
x = SQRT(1375)
x = 5SQRT(55)
x = 37.08 feet
2.Using pathagorean it’s 16^2 + 24^2 = c^2
256 + 576 = 832
The answer is the sqrrt of 832
Which is 8sqrrt13 or 28.44
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,085 gallons of water, and is leaking at a rate of 20
gallons per day.
If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool
after 103 days?
A. 15,025 gallons
B. 16,055 gallons
C. 17,188 gallons
D. 19,145 gallons
Find the height of a trapezoid that has an area of 64 square inches, and bases of 8 and 12 inches.
Answer:
6.4 inches
Step-by-step explanation:
Area= (a+b)/2 x h
64 in^2= (8+12)/2 x h
= 20/2 x h
= 10 x h
64 in^2 / 10 = height of 6.4 inches
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
True or false
(Question in the picture)
Answer:
False
48° + 77° + 66° ≠ 180°
Step-by-step explanation:
-10 + 2d=8 pls help me
Answer:
Add 10 from both sides:
2d = 18
divide by 2
D = 9
Alma just received a 8% raise in salary. Before the raise, she was making $65,000 per year. How much more will Alma earn next year?
Answer:
70200
Step-by-step explanation:
8% of 65,000 is 5200
I added 65000 and 5200 and received.
Hopefully this is accurate/true. Not the best at finance.
HELP
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
y = x - 1
Step-by-step explanation:
Put it in point-slope form:
y - 0 = 1(x - 1)
y = x - 1
You started at 440 meters then decreased by 20%. What is your elevation now?
What is the answer, plz help
Answer:
31=x
96=z
Y=31
Step-by-step explanation:
X x Z=
N/180
16.53
Im not sure because the ff isnt complete
what is the sum of -4/7 and 6/7
Answer:
2/7
Step-by-step explanation:
Since the denominators are the same, we need to add the numerators and place it over the common denominator
-4+6 = 2
so
-4/7 + 6/7 = 2/7
2/7
Answer:
B
Step-by-step explanation:
What is the value of k?
Answer:
the Value of (k)=?
k value of 11 ans
please help asap i need to finish i will mark brainlest ily
Answer:
I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what
Answer:
20\40= 0.5 is 1\2
pls answer i’m in a test
Solve
-2x - 3> 13
Answer:
x<-8 is answer
Step-by-step explanation:
I got the big maths
What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63
Answer:
y = 31
Step-by-step explanation:
Given
y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2
y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31
worth 20 points!!!!!
Answer:
polygon B = 20 meters
Step-by-step explanation:
polygon A : polygon B
3 : 4
15 : x
first take 15 and divide by 3, this would tell us how much it went up by:
15 ÷ 3 = 5
next, take 4 and multiply it by 5:
4 x 5 = 20
this means that polygon B is 20 meters
Translate the description as an algebraic expression:
the sum of 11 cubed and a
Answer:
a + [tex]11^{3}[/tex]
or
a + 1331
Step-by-step explanation:
The sum of 11 cubed and a
[tex]11^{3}[/tex] + a
or
1331 + a
Which could be the side lengths of a 30°-60°-90° right triangle?
A 2, 3, 2
B 13, 2/3, 3
C 3, 3, 32
D 3,3/3, 613
Answer:
None of these could be a 60-30 right triangle
Step-by-step explanation:
A) is a 45-45 right triangle and the hypotenuse is too short
a² + b² = c² 2² + 2² ≠ 3²
B) 13 is way too long
C) 32 too long 3² + 3² ≠ 32²
D) really 613 no way
What is the value of x?
Answer:x = 8.5
Step-by-step explanation:
1. Combine like terms
62+75+9 = 146
2.Set up equation
146+4x = 180
3. Subtract 146 to each side
146-146 + 4x = 180-146 = 34
4. Divide by 4
4x/4 = 34/4
X= 8.5
State the method that would be used to verify that the triangles are similar. Justify your answer.
Answer:
answer is 3
Step-by-step explanation:
add 5 minus 10
A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?
Answer:
4 minutes
Step-by-step explanation:
160/40 = 4
Answer:
Step-by-step explanation:
40
h
Explanation:
We're asked to find the time it takes an object (bird) to travel
1800
km
at a constant speed of
45
km/h
.
We have our simplified speed equation:
speed
=
distance
time
Rearranging for time:
time
=
distance
speed
We're given:
speed
=
45
km/h
distance
=
1800
km
Plugging these in:
time
=
1800
km
45
km
h
=
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
40
l
h
∣
∣
−−−−−−−−−
The journey will take
40
l
hours
.
pls answer this asap no wrong answers pls
Answer:
They have the same y-intercept of -6.
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?
Answer:
Step-by-step explanation:
Parallel lines: A and B
Rotation: 90° same direction
Translation: Right (same units)