Answer:
∠1 ≅ ∠4 because yeah
Step-by-step explanation:
write an equation in point slope form to represent a line that passes through the points (-6,-14) and (12,16)
Answer:
y + 14 = 3/5(x + 6)
The town of gettysburg, PA, plans to shoot a live cannon as part of their annual Gettysburg Civil War Battle Reenactment. The organizers want to make sure that when they fire the cannon, it lands in a location that does not injure any participants or spectators. The slope of the field they are firing into can be represented by the equation y=0.15x. Let x represent horizontal distance, and y represents vertical distance.. if the cannon fires the cannon ball at an arc denoted by the equation y=-0.5x^2+2.5x+1, at what distance will the cannonball land.
-I know i'm supposed to set -0.5x^2+2.5x+1=.15x and use distance formula BUT I KEEP GETTING DIFFERENT ANSWERS.
Answer:
The cannonball lands at approximately 5.093 unit distance from the point of fire
Step-by-step explanation:
The given parameters are;
The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1
The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x
The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;
At the point of contact of the cannonball and the field, the y-values of both equation will be equal
y₁ = y₂
∴ -0.5·x² + 2.5·x + 1 = 0.15·x
Which gives;
-0.5·x² + 2.5·x - 0.15·x + 1 = 0
-0.5·x² + 2.35·x + 1 = 0
-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0
0.5·x² - 2.35·x - 1 = 0
The above equation is in the general form of a quadratic equation, which is given as follows;
a·x² + b·x + c = 0
By the quadratic equation, we have;
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
Plugging in the values, gives;
[tex]x = \dfrac{2.35\pm \sqrt{(2.35)^{2}-4\cdot (0.5)\times (-1)}}{2\cdot (0.5)} = \dfrac{2.35\pm \sqrt{7.5225}}{1} =2.35 \pm \sqrt{7.5225}[/tex]
∴ x ≈ 5.093 or x ≈ -0.393
Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093
The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;
[tex]y_{(initial)}[/tex] = -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597
[tex]y_{(initial)}[/tex] ≈ -0.0597.
However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.
Given the graph below, which of the following represents the domain of the function?
Anyone please help ???? Hurry
Help! Plz!
What reflections map the figure onto itself?
The reflections that map the figure onto itself are Ra and Rb where a = and b =
9514 1404 393
Answer:
a = mb = nStep-by-step explanation:
The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...
Ra . . . where a = m
Rb . . . where b = n
Answer:
hope this pic helps enjoy
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a parabola.
Answer:
vertical line
Step-by-step explanation:
If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.
Answer:
the answer is b
Step-by-step explanation
A shortcut would ensure a safer reaction. A shortcut may provide a faster reaction. A reaction with a shortcut would yield more chemical output. A reaction with a shortcut would require less chemical input.
Answer: the first one
Step-by-step explanation:
Answer:
What is the benefit of using a shortcut in a reaction between two chemicals?
A shortcut would ensure a safer reaction.
Step-by-step explanation:
What the answer to this asap
Answer:
? is 24
Step-by-step explanation:
Answer:
? = 24
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{?}{18}[/tex] = [tex]\frac{20}{15}[/tex] ( cross- multiply )
15? = 360 ( divide both sides by 15 )
? = 24
The cylinder shown has a lateral surface area of about 60sq in. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi
Answer:3.2 inch
Step-by-step explanation:
We have the following data:
Al (lateral surface area) = 80 in²
R (ratio) = 4 in
h (height) = ? (in inches)
Adopt : π ≈ 3.14
We apply the data to the formula, we have:
Answer:We have the following data:
Al (lateral surface area) = 80 in²
R (ratio) = 4 in
h (height) = ? (in inches)
Adopt : π ≈ 3.14
We apply the data to the formula, we have:
Answer:
≈ 3.2 inches
________________________
≈ 3.2 inches
________________________
What is 50% of 50? Use a diagram to show your work. Draw a diagram to help you.?
Answer:
25.
Step-by-step explanation:
50% = 1/2 and 1/2 of 50 is 25. so 50% is 25.
Answer:
The answer is 25.
Step-by-step explanation:
This is actually very simple but other percentages would be harder. 50% s the same as 1/2 or 0.5. all you have to do is divide 50/2 which is 25. 25 is 50% of 50.
If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
8a+5 = 7b+4 = 5c + 2
Answer:
a= -5/8
b= -4/7
c= -2/5
Step-by-step explanation:
8a + 5 = 7b + 4 =5c + 2
I'm not sure what you want with this incomplete question, but I assume it's to find the values of a, b, and c.
Therefore, to find the value of a,
8a+5=0
8a= - 5
a= -5/8
7b + 4=0
7b = - 4
b= -4/7
5c + 2=0
5c= - 2
c= -2/5
Therefore, the values of a, b, and c are -5/8, -4/7 and -2/5
what’s the value of y??
Answer:
90.6
Step-by-step explanation:
that what i think and thanks
I give Brainliest!
Using Angle Side Relationship Theorem, use the side measures to list the angle measures of the triangle in order from biggest to smallest.
Q
R
P
Answer:
∠Q, ∠P, ∠R
From largest to smallest.
Step-by-step explanation:
Remember that the largest side is always opposite from the largest angle.
26 is the longest side. The angle opposite is 26 is ∠Q. So, ∠Q is the largest angle.
21 is the second longest side. ∠P is the angle opposite to 21. So, ∠P is the second largest angle.
Finally, 17 is the shortest side and ∠R is opposite to 17.
So, ∠R is the smallest angle.
Therefore, the measures of the angles from biggest to smallest is:
∠Q, ∠P, ∠R
PLEASE HELP I DONT WANT TO FAIL
A rollercoaster rises 160 feet into the air before dropping 190
feet. What is the height of the rollercoaster
Answer:
190
Step-by-step explanation:
27686+05446535
gfytf+ wtdf gufyhfedhe. b1+3533
Help please!!! Solve for a: a+3(4a+8)=128
Answer:
A= 8 !!
Step-by-step explanation:
Answer:
a=8
Explanation:
distribute and simplify the left side of the equation
a
+
12
a
+
24
=
128
13
a
+
24
=
128
subtract 24 from both sides
13
a
=
128
−
24
=
104
divide both sides by 13
a
=
104
13
=
8
Please help!!! Use equivalent ratios to find the unknown value
Answer:
24/27=8/9
Step-by-step explanation:
192 miles per 6 gallons
The dry ingredients in a chocolate cake recipe are 2 cups of flour, 3/2 cups of sugar, and 3/4 cup of cocoa. How many cups of dry ingredients are in the cake mix?
Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.
Step-by-step explanation:
Given: Quantities of dry ingredients for cake:
2 cups of flour, [tex]\dfrac32[/tex] cups of sugar, and [tex]\dfrac34[/tex] cup of cocoa.
Total cups of ingredients used = [tex]2+\dfrac32+\dfrac34[/tex]
[tex]\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}[/tex]
Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.
1. Solve the following equation.
-5x + 13 = 1 – 7x
-5x+13=1-7x
-5x+7x=1-13
2x=-12
2x\2=-12\2
x=-6
“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m
5)Ten less than 6 times a number is greater than or equal to 2 more than twice the number.
Answer:
6n-10 >= 2+2x2
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x - 10 ≥ 2x + 2 Subtract 2x from both sides
6x-2x - 10 ≥ 2x - 2x +2 Combine
4x - 10 ≥ 2 Add 10 to both sides
4x - 10+ 10 ≥ 2 + 10 Combine
4x ≥ 12 Divide by 4
4x/4 ≥ 12/4 Combine
x ≥ 3
f(x)=2(x+2)²-1 determine the vertex (h,k)
Answer:
The vertex will be (-2,-1)
A car travels 355 miles in 5 hours. How many miles did they travel per hour?
Answer:
71 miles in 1 hour
Step-by-step explanation:
divide the total amount of miles by the total amount of hours: 335/5
you get 71 mph
Answer:
71 miles per hour
Step-by-step explanation:
355 divided by 5 is 71
71 x 5 = 355
355 divided by 71 is 5
LESS THAN 5 MIN!!! WILL GIVE BRAINLIEST
Raise to the power:
(–xn)^4
Answer:
x^4n^4
Step-by-step explanation:
Answer:
[tex]n^{4} x^{4}[/tex]
I really hope this helps!
5) A firm has $30,000 in a bank account at the beginning of the year. Interest will be paid at a rate of 2% at the end of the year. How much interest will the firm receive for the year?
Answer:
10%
Step-by-step explanation:
10% i think
712 ÷ 74 is equal to _____.
3
7 3
1 3
7 8
Answer:
9.62162162162
Step-by-step explanation:
Use a calculator dude
Answer:
7 3
Step-by-step explanation:
Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?
Which expression would be easier to simplify if you used the associative property to change the grouping?
A. ( 50 + 50 ) + 63
B. ( 43 + 60 ) + 40
C. ( 2/5 + 3/5 ) + 7/3
D. [ - 14 + ( - 26 ) ] + 67
Answer:
probably A
Step-by-step explanation:
Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expression represents Kona’s mother’s age?
k squared minus 4
k cubed minus 4
k squared + 4
k cubed + 4
Answer:
k squared minus 4/ A
Step-by-step explanation:
took the test
Answer:A. k squared minus 4
Step-by-step explanation:
Picture shown below help
Answer:
measure of angle 2 and angle 3 are both 97
Step-by-step explanation:
angle 2 and angle 3 are vertical angles