Answers
Answer:
use Pythagoras theorem
Step-by-step explanation:
get the opposite square it plus the adjacent side square it also should be equal to the hypotune squared alsox² + (X +17)²= 25² expand (X+17)²x² + x² + 17² + 34x = 6252x² + 34x + 289 = 625 get 625 minus 2892x² + 34 x = 336 divide through by 2X²+ 17 X = 168solve the quadratic equation using any method if I use bulldozer method a=1 b=17 c=-168put in that quadratic formulax=7 or X=-24 but for second value of X is not correct since you can not have a negative length for opposite side
therefore take X=7 as the answer
Related Questions
What will the equation be if f(x)= x^2 is translated 6 units left and 3 units up?
Answers
Answer:
(x+6)^2+3
Step-by-step explanation:
translate 6 left
left is negative
so (x+6)^2. it is + because the x goes in the opposite direction causing (x-6)^2 to go right
and 3 units up so add x by 3 to get (x+6)^2+3
Answer:
g(x) = (x + 6)² + 3
Step-by-step explanation:
To move horizontally replace each x with (x ± c)
if you move it to the right, you need x - c
if you move it to the left , you need x + c
Since we are moving to the left 6, we will have: g(x) = x² + 6
To move up or down, add or subtract the constant equal to the units moved, so to move it up 3 would give us:
g(x) = (x + 6)² + 3
A graph is below for further conformation.
hope this helps!
Question 3
6 pts
A ball is thrown vertically upward with an initial velocity of 48 feet per
second and started from a height of 8 ft off the ground.
a. Write a vertical motion equation that models the situation.
b. How long will it take the ball to hit the ground? (round to the nearest
Hundredth)
c. How long will it take the ball to be 56 ft above the ground?
No answer text provided.
Answers
(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².
(b) The time for the ball to hit the ground is 3.15 s.
(c) The time for the ball to travel 56 ft above the ground is 0.79 s.
Vertical motion equation for the ball
The vertical motion equation for the ball is calculated as follows;
h = h₀ + vt - ¹/₂gt²
h = 8 + 48t - ¹/₂(32)t²
h = 8 + 48t - 16t²
Time for the ball to hit the ground0 = 8 + 48t - 16t²
solve the above quadratic equation with formula method;
a = -16, b = 48, c = 8
t = 3.15 s
Time for the ball to be 56 ft above the groundlet upward motion be positiveh = 8 + 48t + 16t²
56 = 8 + 48t + 16t²
0 = -48 + 48t + 16t²
solve the above quadratic equation with formula method;
a = 16, b = 48, c = -48
t = 0.79 s
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For x2 + 3x - 18 = (x - 3)(x + a), what value
of a would make this equation true?
Answers
you can check be substituting the a value into (x-3)(x+a) once you substitute you can use foil to check and see if things make sense
find the area plssssssssssssssssss
Answers
Answer: 32 m^2
Step-by-step explanation:
first set up your equation; A=A rectange - 2(A square). The you plug in your numbers A = 40-2(4). The you do 40-8 = 32
f(x) = x^2. What is g(x)?
A. g(x) = (4x)^2
B. g(x) = 2x^2
C. g(x) = (2x)^2
D. g(x) = (1/2x)^2
Answers
Answer:
C
Step-by-step explanation:
g(x) through the point (1,4) so its mean when x equal to 1, g(x) equal to 4 so you replace that point so you can choosse C
about 2/5 of Joys cottage property is covered with trees. About 21 km2 are open fields. In Km2, how much of her property is covered in trees
Answers
Fractions are written as the ratio of two integers. 8.4km^2 of her property are covered in trees
Ratios and proportionsFractions are written as the ratio of two integers
Given the following parameters
total area of open field = 21km^2
If 2/5 of Joys cottage property is covered with trees, the amount covered in trees is expressed as:
Amount covered in trees = 2/5 * 21
Amount covered in trees = 42/5
Amount covered in trees = 8.4km^2
Hence 8.4km^2 of her property are covered in trees
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Which inequality represents the graph?
z≤-10 z≥-10
z-10 z<-10
K
+
-25-20 -15-10 -5
0
0
5
O
Answers
Answer: z _> -10
Step-by-step explanation:
whats the minimum and maximum value of f(x)=3(x+8)^2−10
Answers
Answer:
(-8,-10)
Step-by-step explanation:
Rewrite (x+8)2(x+8)² as (x+8)(x+8).
f(x)=3((x+8)(x+8))−10
Expand (x+8) (x+8) using the FOIL Method.
Apply the distributive property.
f(x)=3(x(x+8)+8(x+8))−10
Apply the distributive property.
f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
f(x)=3(x2+x⋅8+8x+8⋅8)−10
Move 8 to the left of x.
f(x)=3(x2+8⋅x+8x+8⋅8)−10
Multiply 8 by 8.
f(x)=3(x2+8x+8x+64)−10
Add 8x and 8x.
f(x)=3(x2+16x+64)−10
Apply the distributive property.
f(x)=3x2+3(16x)+3⋅64−10
Simplify.
Multiply 16 by 3.
f(x)=3x2+48x+3⋅64−10
Multiply 3 by 64.
f(x)=3x2+48x+192−10
Subtract 10 from 192.
f(x)=3x2+48x+182
The minimum of a quadratic function occurs at x=[tex]-\frac{b}{2a}[/tex] If a is positive, the minimum value of the function is f ([tex]-\frac{b}{2a}[/tex]).
Substitute in the values of aa and b.
x=−[tex]\frac{48}{2(3)}[/tex]
x=-8
Replace the variable x with −8 in the expression.
f(−8)=3(−8)2+48(−8)+182
Y=-10
Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.
Find the equation of the line with slope = -6 and passing through (-2,10). Write your equation in the
form y = mx + b.
Submit Question
Answers
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies -6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-6}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-10=-6(x+2)\implies y-10=-6x-12\implies y=-6x-2[/tex]
what is 7h-5(3h-8) = -72
Answers
Answer:
14
Step-by-step explanation:
7h-5(3h-8)=-72
7h-15h+40=-72
-8h=-112
h=14
Answer:
Answer is 14
Step-by-step explanation:
7h-15h+40 = -72-8h = -72-40-8h = -112h = -112------
-8
h = 14Hope it helps!
BYE
what is the surface area, in square inches, of the rectangular prism formed by folding the next below?
Answers
Therefore, the surface area of the rectangular prism is 2600 square inches.
What is surface area?In geometry, surface area is the total area that the surface of a 3-dimensional object covers. It is the sum of the areas of all the faces or surfaces that make up the object. Surface area is often used to determine the amount of material needed to cover an object or to calculate the heat transfer between an object and its surroundings.
Here,
To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.
Therefore, the surface area of the rectangular prism is:
=2 * (23 in. * 8 in.) (top and bottom faces)
=2 * (36 in. * 8 in.) (front and back faces)
=2 * (23 in. * 36 in.) (left and right faces)
= 368 + 576 + 1656
= 2600 square inches
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the price of a sweater was reduced from $20 to $12. by what percentage was the price of the sweater reduced?
A.8% B.80% C.60% D.40%
PLEASE HELP ME!!!!
Answers
Answer:
40%
Step-by-step explanation:
The original is $20. It is now 12/20 is ?/100
12*100=1,200/20=60 100-60=40%
Answer:
D. 40%
Step-by-step explanation:
ConceptsPercent ChangePercent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is [tex]\frac{FV-IV}{IV} * 100 = PC[/tex]. Keep in mind percent change is not negative, but can be written as 40% decrease or 40% increase.
FV = Final ValueIV = Initial ValuePC = Percent Change (%)ApplicationHow Does this Apply Here?We are being asked to find the percent change, or the change in the price of the sweater from $20 to $12. Thus, we will have to use the aforementioned formula. $20 is the initial value and $12 is the final value.
SolvingSolving for Percent Change
Step 1: Plug in values.
[tex]\frac{12-20}{20} * 100[/tex]Step 2: Simplify.
[tex]\frac{8}{20} * 100[/tex] [tex]800/20[/tex] [tex]40[/tex]Therefore, the answer is D. 40%.
Could someone help me with this? I need to solve for X. Here is the problem.
Answers
The two angles given are vertical angles, which mean they are equal to each other.
2x + 2 = 3x -52
Add 52 to both sides:
2x + 54 = 3x
Subtract 2x from both sides:
54 = x
Rewrite as x = 54
Answer: x = 54
I really need help, I'm struggling. Question is in image.
Answers
Answer:
See below ~
Step-by-step explanation:
(a)
Original Temp : -7°FTemp change : 15°F⇒ -7°F + 15°F = 8°F(b)
Temp in Juneau = -28°FTemp in Montreal = -15°FDifference in temp = -28 - (-15)-28 + 15 = -13°F lowerTo use the tree house as the start of the zip line, the cable needs to be attached to
the starting tree at a height 18 feet above the ground.
To meet the slope constraint, Esteban wants to change the height 7 feet and end the
zip line at a height 11 feet above the ground. He claims this vertical change meets the
slope constraint.
Test Esteban's claim for Tree A and Tree B. Use specific numbers from the situation to
justify or refute whether having a vertical change of 7 feet will satisfy the slope
constraint for each tree.
Answers
For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
To use the treehouse as the start of the zip line, the cable needs to be attached to the starting tree at a height of 18 feet above the ground.
To meet the slope constraint, Esteban wants to change the height to 7 feet and end the zip line at a height of 11 feet above the ground.
He claims this vertical change meets the slope constraint.
The slope for tree A will be
[tex]\rm Slope \ A = \dfrac{7}{120}\\\\Slope \ A = 0.0583[/tex]
The slope for tree B will be
[tex]\rm Slope \ B = \dfrac{7}{160}\\\\Slope \ B = 0.043[/tex]
For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.
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5pts and whoever has the correct answer gets brainliest
Answers
Answer:
B
Step-by-step explanation:
City Hall is 4 meters shorter than the bank. The bank is 13 meters tall. The hospital is 11 meters tall. How tall is City Hall?
Answers
Answer:
The answer is 9
Because the 4 meters short than bank and ban is 13 meters
So subtract 13 - 4=9
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
HELP!!!
is the following relation a function?
yes or no?
Answers
Answer:
I think the answer is no
Step-by-step explanation:
It's been awhile but if I remember correctly a function cannot be a parabola (this graph) because it does not pass the vertical line test. If there are two points on a vertical line it is not a function. Hope this helps!
I need help because I dont quiet understand pls explain?
Explain how to create a graph to model the relationship between the 2 quantities in the table.
Answers
Answer:
For every hour they work (x), they are being paid $25. (d)
Step-by-step explanation:
So, D=25x
Given that f (x) =x^2 -10x +24 and g (x) =x - 6, find f (x) - g (x) and express the result in standard form
Answers
Answer:
x^2 + 9x + 30 = 0
Step-by-step explanation:
Given: f(x) = x² – 10x + 24
g(x) = x – 6
f(- x) = g(x) :
(-x)² - 10(- x) + 24 = x - 6
x² + 10x + 24 - x + 6 = 0
Result: x² + 9x + 30 = 0
Answer:
Y = (x - 11/2)^2 -1/4
Step-by-step explanation:
subtract g(x) to f(x)
f (x) - g (x) = x^2 -10x +24 -x + 6
f (x) - g (x) = x^2 -11x +30
Let's call Y
Y = x^2 -11x +30
The standard form is by definition as Y = a (x-b)^2 + h
In this specific case:
Y = (x - 11/2)^2 -121/4 + 30
Y = (x - 11/2)^2 -1/4
i beg <3
what is the domain? a. (-infinity, infinity) b. (-infinity,4) c. (-4,4) d. (0,4) what is the range? a. (-infinity, infinity) b. (-infinity,4] c. [-4,4] d. (0,4)
Answers
Answer:
Given:
A set of functions,
A. y = -(x-4)^2
B. y=3(x- 4)^2
C. y = [x] + 4
D. y = -5x + 4.
To Find:
The function whose range is (-infinity, 4].
Solution:
1. The function y = -(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).
2. The function y = 3(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).
3. y = [x] + 4 (where [x] = greatest integer function). This function is an increasing function with a minimum value towards negative infinity and the maximum value tends towards the positive side of infinity.
=> Range of y = [x] + 4 is (-infinite, infinite).
4. y = -5x+4 is a continuous increasing function without any exceptions.
=> Range of y = -5x+4 is (-infinite,infinite)
Therefore, none of the functions has their range from (-infinity,4].
Step-by-step explanation:
if 54735 = 53000+735+p what is the value of p
Answers
Answer:
1000 :)
Step-by-step explanation:
We need to subtract to solve!!
54735 - 53000 = 1735
1735 - 735 = 1000
Have an amazing day!!
Please rate and mark brainliest!!!
Bart wants to deposit his piggy bank savings into a savings account. If he deposits $325. 76, how many whole years will it take, at 2% simple
Interest, for that amount to grow to $400. 00?
A. 12 years
B. 4 years
C. 16 years
D. 8 years
Answers
Answer:
Step-by-step explanation:
Compounding interest :
Future value of money = Present value * (1+ r)^N
r - interest rate
n - number of period
In our example, Present value = 325.76, FV = 400, r = 2%, and we need to find N
by solving that we can find it that N is equal to 10.3675
Simple interest :
400 - 325.76 = 74.26$ we need to increase
325.76*2% = 6.5152$ each year
74.26 / 6.5152 = 11.3949
as a whole year = 12years
Chloe gave out a survey to some students in her school about their favorite color. 219 of those surveyed said their favorite color was purple. If 73% of the students surveyed said their favorite color was purple, how many students were surveyed in total?
Answers
If 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Let the total number of persons surveyed be x. However, the question tells us that 350 respondents, or 35% of this x, make up the total.
Hence, mathematically, we have;
73% of x = 219
(73/100) × x = 219
73x = 100×219
73x = 219,000
x = 219,000/219
x = 1,000 students
Thus, if 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.
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Which statement is correct about the period of the function y = sin x?
A) There are 180° in a unit circle, so the period is 180°
B) There are 180° in a unit circle, so the period is 360°
C) There are 360° in a unit circle, so the period is 180°
D) There are 360° in a unit circle, so the period is 360°
Answers
Answer:
C
Step-by-step explanation:
The function sine of 'x' repeats its value after a full rotation of π radians. In degrees, that would be 180 degrees. On a unit circle, the sine is the y-component at any point along the circumference of the circle. In the first two quadrants, the y-component is the exact same until you exceed a rotation of 180 degrees. The degree of a circle is 360 degrees, therefore the answer would be C.
Solve the inequality 20 – 6x < -10.
Answers
Answer:
x = 5
Step-by-step explanation:
Use the drop-down menu to complete each statement. according to this graph, at $10 the quantity supplied is about . as the price of the good rises, the quantity supplied will .
Answers
Answer:
14
increase
Step-by-step explanation:
Answer:
14, increase
Step-by-step explanation:
HELP ME FOR A BRAINLIEST BA3
Answers
Answer:
it should be -65. because I did this already
Answer:
x=3, y=-3
Step-by-step explanation:
pluging in y we get -3x+15=6, or -3x=-9
this means x is 3
1.4.
Which scatter plot shows a negative linear association between x and y?
A.
B.
y
y
C.
D.
..
..
.
●
●
.
●
Answers
Answer:
need more details
Step-by-step explanation:
...
Without buying points, a monthly mortgage payment will be $958. buying 1 point at closing would reduce the payment to $948.75. if each point costs $1000.00, rounded to the nearest year, how long would it take to break even by buying 1 point? a. 7 years b. 8 years c. 9 years d. 10 years please select the best answer from the choices provided a b c d
Answers
If each point costs $1000.00. how long would it take to break even by buying is:9 years.
TimeFirst step
Monthly savings=$958-$948.75
Monthly savings=$9.25
Second step
Time=(Cost of points/Mothly savings)/ 12 months
Time=($1,000/$9.25)/12 months
Time=108/12 months
Time=9 years
Therefore how long would it take to break even by buying is:9 years.
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