Solve the following system of equations algebraically:
y = x^2 – 10x + 15
y = 2x – 5
Answer:
(2, -1)
(10, 15)
Step-by-step explanation:
Subtract the second equation from the first
y = x² – 10x + 15
- (y = 2x – 5)
————————————
0 = x² - 12x + 20
Factor
(x - 2)(x - 10) = 0
x = {2, 10}
-------------------
For x = 2
y = 2(2) - 5
y = -1
Solution 1
(2, -1)
----------------------
For x = 10
y = 2(10) - 5
y = 15
Solution 2
(10, 15)
Solve the right triangle.
Round your answers to the nearest tenth.
What is x if all three sides combined is 180? Pls help
Answer:
x= 52°
Step-by-step explanation:
comment if u need explanation :)
Answer:
x=52
Step-by-step explanation:
Set it up 2x+28+x-4=180
Combine like terms
3x+24=180
Subtract 24 from both sides
3x=156
Divide 3 from both sides
x=52
Hope this helps
Brainliest would be appreciated
What is the area of this square?
Answer:
100
Step-by-step explanation:
Formula is bh (Base times Height)
so 10 * 10
Hope this helped :]
Answer:
100 m
Step-by-step explanation:
Area is found by multiplying the length and height of a shape. The length and height of the square are both 10 m.
10 ⋅ 10 = 100
Rectangle has a vertices at (-1,4), (-1,-1) and (4, -1) where is the fourth vertex located
Answer:
(4,4)
Step-by-step explanation:
1. I drew a grid and plotted the 3 points I already knew
2. I found the spot that had the same x coordinate that the point to the bottom left of the shape, and the same y coordinate of the top right of the shape which was the point (4,4)
I hope this helps!!
please help me i need it done fast ill give brainest !! its a e+am ( i can't put the real word bc brainly will delete it )
Answer:
C
Step-by-step explanation:
Continental Drift Theory says that all the continents used to be one landmass called Pangaea, and that proves how glaciers, fossils, and plants are on different sides of oceans.
(Is proven to be true.)
So that leaf must have came from a tropical landmass like Australia, Africa, or South America.
Since C is the one that explains Plate Tectonic Theory, it is correct.
A wheel with a 1 foot radius spins in place in a counterclockwise direction. Explain why the distance point P travels is the same as the angle of revolution (measured in radians) of this wheel?
Answer:
See below.
Step-by-step explanation:
The definition of radian is:
A radian is a unit of angle measurement such that a central angle of a circle measuring 1 radian subtends and arc of the circle whose length equals the radius if the circle.
In this case, the radius is 1 foot. Point P travels along the arc formed by an angle. When the angle is 1 radian, the arc length equals the radius of the circle, 1 foot. It is simply following the definition of radian.
Point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
What is 1 radian?One radian is defined as the angle subtended from the centre of a circle which intercepts an arc equal in length to the radius of the circle.
Circumference of the circle = 2π(1) =2π feet.
This means point P will travel a 2π distance in a complete revolution.
A complete revolution = 360° or 2π
Hence, point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.
To get more about circles visit:
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When you spin a rectangle, what 3D figure do you get? cylinder prism cone sphere
Answer:
A cylinder
Step-by-step explanation:
When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.
Answer:
CYLINDER
Step-by-step explanation:
i need help with geometry!!
Answer:
1 - 178cm
2 - 1,039.2 m
Step-by-step explanation:
Find value of trigonometric ratio round your answer to four decimal places
tan a
Answer:
tan A = .3429
Step-by-step explanation:
Tangent = Opposite over Adjacent
The opposite of ∠A = 12 and the adjacent = 35
so tan A = 12/35 which equals .3428571492
The question asks us to round to four decimal places
Hence, the answer is .3429
Walltown is 25 miles east of Park City.
- Park City is 38 miles south of Edenton,
• Michael drove from Edenton to Park City and then to Walltown.
- Leah drove straight from Edenton to Walltown
About how much farther
did Michael drive than Leah
5 miles
25 miles
34 miles
45.5 miles
TRA
WUNNIN
Answer:
Since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.
Step-by-step explanation:
Given that Walltown is 25 miles east of Park City, and Park City is 38 miles south of Edenton, and Michael drove from Edenton to Park City and then to Walltown while Leah drove straight from Edenton to Walltown, to determine about how much farther did Michael drive than Leah, the following calculation must be performed, using the Pythagorean theorem:
Michael:
38 + 25 = 63
Leah:
25 ^ 2 + 38 ^ 2 = X ^ 2
625 + 1,444 = X ^ 2
2,069 = X ^ 2
√2,069 = X
45.48 = X
63 - 45.49 = 17.51
Therefore, since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.
julie pays 6.72 for 3.2 pounds of ground beef to make hamburgers. What price per pound does she pay
Answer:
6.72/3.2=2.1
Step-by-step explanation:
I need help with this question. check your solution please show WORK please. 5 = x + 8
Answer:
x = -3
Step-by-step explanation:
5 = x + 8
You need to get x by Itself so subtract 8 to both sides.
5 - 8 = -3
so therefore x = - 3
This is easy I just need the answer thanks!!! :)
Answer:
225 inches
Step-by-step explanation:
15 x 15 = 225
A line passes through the point (-8, 2) and has a slope of -1
Answer:
y=-x-6
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. We know that it passes through (-8,2) so y1=2 and x1=-8. We also know that the slope is -1 so we can now fill in the equation. y-2=-1(x--8). We can change x--8 to x+8 so y-2=-1(x+8). Simplify this to get y-2=-x-8. You want to isolate y so you have to add 2 on both sides. y=-x-6. Therefore, the equation is y=-x-6.
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Find the mean, median, and mode. Plz help me it’s a test
Answer:
Mean- 70.8
Median- 70
Mode- 60
Step-by-step explanation:
Mean: 20+20+50+50+50+60+60+60+60+60+60+70+70+70+80+80+80+80+90+90+90+90+100+100+130= 1770
1770/ 25= 70.8
Median: cross off on each sides till you get to the middle number
Mode: 60 occurs the most frequent
True or false
A prism always has an even number of vertices
Answer:
I think its true
Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x+27=96, represents this situation, what does the variable represent?
Answer:
The X represents how much Han made.
Step-by-step explanation:
I believe thats the answer.
The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers
Step-by-step explanation:
a+b=41
let larger number be a and smaller be b
a=21+b
placing value of a in a+b=41
21+b+b=41
2b=41-21
b=20÷2
b=10
so a=21+10
=31
the numbers are 21 and 10.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, The sum of two numbers is 41.
let "x" be the smallest number.
Since The larger number is 21 more than the smaller number.
thus,
the larger number = 21 + smaller number
The larger number = 21 + x
Thus, sum = 41
x + 21 + x = 41
2x = 20
x = 10
So,
the Largest number = 21 + 10
Therefore, The largest number and the smallest number are 21 and 10 respectively.
Learn more about Mathematical operations here:
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Help please!! ASAP!!
Thanks!!
Answer:
402
Step-by-step explanation:
The standard formula for the nth term of an arithmetic sequence is:
t + (n - 1)d
where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:
22 = t + (5 - 1)d
62 = t + (15 - 1)d
22 = t + 4d
62 = t + 14d
We can use elimination to cancel out t:
62 = t + 14d
-( 22 = t + 4d )
40 = 10d
d = 4
Now, we can substitute the common difference to find the first term:
22 = t + 4*4
22 = t + 16
t = 6
Lastly, we can substitute values in the first equation to find the 100th term:
a100 = t + (n - 1)d
a100 = 6 + (100 - 1)(4)
a100 = 6 + (99)(4)
a100 = 6 + 396
a100 = 402
If (a+b) = 4 and ab = 3, find the value of a³+b³.
Answer:
28
Step-by-step explanation:
a³+b³= (a+b)³ - 3ab(a+b)
= 4³ -3×3×4 = 64-36 = 28
The graph of y = f(x) is shown below. Find the value of f(9).
Answer:
f(9) = 4
Step-by-step explanation:
Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then
The value of f(9) = 4
Simplify the following expression.
(5h – 3)(5h – 3)
Answer: -30h +9
Step-by-step explanation:
Answer:
25h²-30h+9
Step-by-step explanation:
we need to multiply binomials
to multiply binomials using the FOIL method, we first multiply the First terms (F for first) together (in this case, 5h and 5h)
That gives us 25h²
Next up, we do the Outer terms (O for outer), which in this case are 5h and -3. This gives us -15h
then, we do the two Inner terms, (I for inner) which are -3 and 5h. This gives us -15h
finally, we do the two Last terms (L for last), which are -3 and -3. This gives us 9
here's what we have from doing FOIL:
25h²-15h-15h+9
we can combine the 2 -15h's together to get:
25h²-30h+9
Hope this helps!
The quadrilateral shown is a rectangle. What is measure zvw
Answer:
measure of zvm is 119°
Step-by-step explanation:
xvw+zvw=180°{straight angle}zvm=180-61=119°stay safe healthy and happy.To the nearest tenth, which is the BEST estimate for the volume of the given pyramid?
Answer:
4.2 cubic inches
Step-by-step explanation:
Find the diagram attached
Volume of the rectangular pyramid = BH/3
B is the base area
H is the height of the pyramid
Given
Base area = 3.2in * 1.4in
Base area = 4.48sq. in
Height = 2.8in
Volume of the rectangular pyramid = 4.48*2.8/3
Volume of the rectangular pyramid = 12.544/3
Volume of the rectangular pyramid = 4.2 cubic inches
A citys annual rainfall totals are normally distributed and the probability that the city gets more than 43.2 inches of rain in a year is given by P(z < 1.5) = 0.0668. If the standard deviation of the city's yearly rainfall total is 1,8 inches, what is the city mean annual rainfall?
Answer: 40.5
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!!!
Rect. Prism = 2(lw) + 2(wh) + 2(1h)
SA Cube = 6s 2 squared
Which has more surface area, a cube that is 10 in wide, or a rectangular prism that is 12 in wide, 10 in long, and 8 in tall?
Answer:
Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.
For example, the rectangular prism below has a volume of 181818 cubic units because it is made up of 181818 unit cubes. also the rectangle has more suface
area Step-by-step explanation:
If you toss a coin eight times and get a head each time, which of the following is true?
A. The probability of getting a head on the next toss is more than %.
B. The probability of getting a tail on the next toss is more than 1.
C. The probability of getting a tail on the next toss is %.
D. The probability of getting a head on the next toss is greater than the probability of getting a
tail
Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. How many weeks will Sadie have to work to earn enough to buy the pony?
A) 8 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks
Answer: C
Step-by-step explanation:
My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.
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For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.
−3
3
2
−2
Answer:
Your answer is B. I had some help from my mom.
Step-by-step explanation:
the average rate of change on the interval [1, 2] is found by computing
(f(2) - f(1))/(2 - 1)
= ((4^1+2) - (4^0+2)/1
= (6-3)
= 3