Answer:
-6,2
Step-by-step explanation:
f(x) = (x + 2)^2 - 16
Set this equal to zero to find the solutions
0 = (x + 2)^2 - 16
Add 16 to each side
16 = (x + 2)^2
Take the square root of each side
±sqrt(16) = sqrt( (x + 2)^2)
±4 = x+2
Subtract 2 from each side
±4 -2 = x+2-2
±4 -2 = x
4-2 = x
-4-2 =x
2, -6
In order from least to greatest
-6,2
2(t+5)+t=4
Solving linear equations
Answer:
t = -2
Step-by-step explanation:
To solve this equation, we can use algebraic techniques.
2(t + 5) + t = 4 Distribute the 2.
2t + 10 + t = 4 Combine like terms (variables).
3t + 10 = 4 Subtract 10 from both sides of the equation.
3t = -6 Divide by 3 on both sides of the equation.
t = -2
what is federal state?
Step-by-step explanation:
A federation (also known as a federal state) is a political entity characterized by a union of partially self-governing provinces, states, or other regions under a central federal government (federalism).
What is the factors of 5.1x
Answer:
1, 5.1, x, 5.1x
Step-by-step explanation:
5.1x can be split into 5.1 * x, therefore, we know that two of the factors are 5.1 and x. Keep in mind that 2 factors of a number are always 1 and the number itself, so we know that 1 and 5.1x are also factors. The final answer is 1, 5.1, x, 5.1x.
I NEED TO FINISH THIS NOW PLZ HELP MEE!!
height of building A = 64 meters
height of building B = 87 meters
=====================================================
Explanation:
Refer to the diagram below.
I have added points A,B,C,D to help find the heights needed.
Focus on triangle BAC. This is a right triangle with 58 degrees as one of the known acute angles (angle BAC = 58). Also known is the adjacent side AB = 40. The unknown side we're after is side BC
------------------
tan(angle) = opposite/adjacent
tan(angle BAC) = BC/AB
tan(58) = BC/40
40*tan(58) = BC
BC = 40*tan(58)
BC = 64.013381161642
BC = 64 meters approximately
This is the approximate height of building A
---------------------
Now focus on triangle DAB
This is another right triangle. The acute angle is now 30 degrees as this is the angle of elevation.
tan(angle) = opposite/adjacent
tan(angle DAB) = DB/AB
tan(30) = DB/40
40*tan(30) = DB
DB = 40*tan(30)
DB = 23.094010767585
DB = 23 meters approximately
Add this onto BC to get
DC = DB+BC
DC = 64+23
DC = 87
Building B has a height of roughly 87 meters
--------
note: a more accurate value would be
DC = DB+BC
DC = 40*tan(30) + 40*tan(58)
DC = 87.107391929227
but when we round this to the nearest meter, we still get DB = 87
15-29=
(I need the explanation most importantly)
14+(-4) - 8 =
(Explanation please)
12. -8.4 - (19.5.) =
(Explanation)
-15 + 8 - (-19.7) =
(Explanation)
29.45 - 56.009 - 78.2
(Explanation)
LAST ONE
45.9 - (-9.2) + 5
Answer:
15-29= -14
(I need the explanation most importantly)
14+(-4) - 8 =10-8=2
(Explanation please)
-8.4 - (19.5.) = - 27.9, (just add them to each other and write -, because both have - in front of them)
(Explanation)
-15 + 8 - (-19.7) = - 7+19,7=12,7 (there is + and - so it will became - 7, and at next there is two - which will turn them into +)
(Explanation)
29.45 - 56.009 - 78.2=−104,759 (all you have to is to put them all together, and than make it 29.45 less, writing - in front of them)
(Explanation)
LAST ONE
45.9 - (-9.2) + 5= 45.9+9.2+5=55.1+5=60.1 (because when there is 2 minus next to each other it will became plus)
In math the words transformation means to blank, blank, blank, or blank a figure
Answers:
TranslateReflectRotateDilateThis can be stated in any order
============================================
Explanation:
In geometry, a translation is where you slide a point or figure some distance left, right, up or down.
A reflection will mirror a point over a line, or you could mirror a point over another point.
A rotation turns a point around a fixed center point.
A dilation scales the figure to be larger or smaller.
The first three transformations mentioned (translation, reflection, rotation) are known as rigid transformations. They keep the figure the same size and shape. A dilation will keep the same shape, but the size will be different, so the before and after figures are not congruent when you apply a dilation.
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
O f-v=a
+
o-v=a
t
Of+V = a
o(+va
Answer: [tex]a = \frac{f-v}{t}[/tex]
This can be written as a = (f-v)/t
============================================
Work Shown:
[tex]f = v + at\\\\v + at = f\\\\at = f-v \ \text{ Subtract v from both sides}\\\\a = \frac{f-v}{t} \ \text{ Divide both sides by t}\\\\[/tex]
----------
Note
[tex]a = \frac{f-v}{t}[/tex] is the same as [tex]\frac{f-v}{t} = a[/tex]
How do you graph y = √ 5 - x?
Answer:
How to graph y=√5 -x is shown in attachment
Step-by-step explanation:
Answer:
see attached
Step-by-step explanation:
As with any sort of graphing problem, pick values of x and compute the corresponding value of y. Then plot those (x, y) points.
For something like this, it is convenient to choose y and then compute the value of x that goes with it.
y = 0 = √(5 -x) ⇒ x = 5 -0² = 5
y = 1 = √(5 -x) ⇒ x = 5 -1² = 4
y = 2 = √(5 -x) ⇒ x = 5 -2² = 1
y = 3 = √(5 -x) ⇒ x = 5 -3² = -4
Once you have plotted the points, draw a smooth curve through them.
Complete the point slope equation of the line through (0,-2) and (3,4). y-4 = *
Answer:
y-4=4/5(x-0)
or, 5y-20=4x
or, 4x-5y+20=0 is the required equation
The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π. a 32.25 π b 95.03 π c 30.25 π d 17.27 π
Answer:
30.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
11 pi = 2 * pi *r
divide each side by 2 pi
11/2 = 2 ( pi) * r/ ( 2pi)
11/2 = r
We can find the area by
A = pi * r^2
= pi ( 11/2) ^2
= pi ( 121/4)
= pi ( 121/4)
= 30.25 pi
Answer:
[tex]\Huge \boxed{30.25 \pi}[/tex]
Step-by-step explanation:
The circumference of a circle formula is:
[tex]C= \pi d[/tex]
The circumference is given, solve for d.
[tex]11\pi=\pi d[/tex]
Cancel [tex]\pi[/tex] from both sides.
[tex]11=d[/tex]
The radius is half the measure of the diameter.
[tex]\displaystyle r=\frac{11}{2} =5.5[/tex]
The area of a circle formula is:
[tex]A=\pi r^2[/tex]
Let r = 5.5, solve for the area.
[tex]A=\pi (5.5)^2[/tex]
[tex]A=\pi (30.25)=30.25\pi[/tex]
The function h(t) --4.922 +17.69+575 is used to model the height of an object being tossed from a tall building, where h(t) is
the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.
domain: [0, 12.76]
range: (1.80, 590.90)
domain: [1.80,12.76]
range: [1.80, 590.90)
domain: [1.80,12.76]
range: [0, 590.90]
domain: [0, 12.76]
range: [0,590.90]
Answer:
The correct option is;
Domain: [1.8, 12.76]
Range: [0, 590.90]
Step-by-step explanation:
The given function is h(t) = -4.92·t² + 17.69·t + 575
The maximum height reached is found from equating the derivative of the function to 0 as follows;
d(h(t))/dt = d(4.92·t² + 17.69·t + 575)/dt = -2×4.92·t + 17.69
d(h(t))/dt = 0 gives;
-2×4.92·t + 17.69 = 0
-9.84·t + 17.69 = 0
-9.84·t = -17.69
t = -17.69/-9.84 = 1.79 ≈ 1.8
h(1.8) = -(4.92×1.8²) + 17.69×1.8 + 575 = 590.9
Also we have from equating the function to zero
h(t) = -4.92·t² + 17.69·t + 575 = 0
(t - 12.75)(t + 9.2) = 0
Therefore, when t = 12.76 h(t) = 0,
Therefore, we have; the domain which is the set of values of the independent variables is [1.8, 12.76]
The range = [0, 590.90].
Answer:
C on Edge
Step-by-step explanation:
Leslie decides to join a gym. She must pay a monthly fee plus a one-time fee to open a membership. This situation can be modeled by the expression 55x + 50. Explain how each number and letter in the expression relates to the problem.
Answer:
see below (I hope this helps!)
Step-by-step explanation:
The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.
Answer 55.1
Yeah boyyy
Answer two questions about Equations A and B: A=3(x+2)=18 B=x+2=6 1) How can we get Equation B from Equation A? do they have the same solution?
Answer:
see below
Step-by-step explanation:
A:3(x+2)=18
Divide each side by 3
3/3(x+2)=18/3
x+2 = 6
This is the same equation as equation B
They will have the same solution since they are the same equation
x+2-2 = 6-2
x = 4
Answer:
You need to multiply/divide both sides by the same constant- they're both equivalent as well.
Step-by-step explanation:
You need to multiply/divide both sides by the same constant- they're both equivalent as well.
This is because solving it you get this
3(x+2)=18
3(x+2) over 3 = 18/3
x+2=6.
That's dividing by a non-zero constant (3).
Kind of new to this so I hope you can understand my answer-
Will give brainliest! I need help with those three questions! Please :)))
Find the volume Of the cylinder with radius 8 CM and height 15cm, use 22/7. 376.8
3014.4
4011.7
3625.5
Answer:
[tex]\huge\boxed{ V = 3015.93\ cm\³}[/tex]
Step-by-step explanation:
Volume of Cylinder = [tex]\pi r^2 h[/tex]
Where r = 8 cm, h = 15 cm
=> V = (22/7)(8)²(15)
=> V = (22/7)(64)(15)
=> V = 21120/7
=> V = 3015.93 cm³
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{3014.4 \: {cm}^{3} }}}}[/tex]
Option B is the correct option
Step-by-step explanation:
Given,
Radius ( r ) = 8 cm
Height ( h ) = 15 cm
Let's find the volume of the cylinder having radius of 8 cm and height of 15 cm
Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]
plug the values
⇒[tex] \sf{ \frac{22}{7} \times {8}^{2} \times 15}[/tex]
Evaluate the power
⇒[tex] \sf{ \frac{22}{7} \times 64 \times 15}[/tex]
Calculate
⇒[tex] \sf{3.14 \times 64 \times 15}[/tex]
⇒[tex] \sf{3014.4 \: {cm}^{3} }[/tex]
Hope I helped!
Best regards!!
Please help I cover the bottom half on purpose please help ASAP 100 points
Answer:
see explanation
Step-by-step explanation:
The first multiplier is the number of terms being added.
The second multiplier is one more than the first multiplier, that is
2 + 4 + 6 + 8 + 10 ← has 5 terms being added and 6 is one more than 5, thus
2 + 4 + 6 + 8 + 10 = 5 × 6
Answer:
The first multiplier is the number of terms being added.
The second multiplier is one more than the first multiplier, that is
2 + 4 + 6 + 8 + 10 ← has 5 terms being added and 6 is one more than 5, thus
2 + 4 + 6 + 8 + 10 = 5 × 6
In the image below, lines n and mare parallel. What is the measure of angle 4?
a.98
b.82
c.164
d.122
help me asap pls
Answer:
a.) 98°
Step-by-step explanation:
Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:
[tex]82+x=180[/tex]
Solve for x, the value of angle 5:
[tex]x=180-82\\\\x=98[/tex]
Angle 5 has a measure of 98°.
Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.
:Done
Which equation could be used to create the graph? y=x−2 y=x−4 y=x3 y=3x
Answer:
y=3x
Step-by-step explanation:
If I am wrong sorry.
Answer:
y=3x
Step-by-step explanation:
i just took the test
What is the absolute value of Point Clabeled on the number line?
Answer:
2 1/4
Step-by-step explanation:
An absolute value cannot be negative, so the negative answer choices are eliminated. The point labeled C is 5 tick marks to the right of 1. We know from the other numbers on the line that 4 tick marks constitutes one unit, so C is 5/4 = 1 1/4 units to the right of 1. Its value is 2 1/4.
how to move a parallel line next to the origin
Answer:
Write its y-intercept as zero:
[tex]y=m\,x[/tex]
Step-by-step explanation:
If the line is given in slope-intercept form:
[tex]y=m\,x+b[/tex]
make sure that you keep the value of the slope (m) as it is (because you want a line parallel to this one so it has to have the same slope "m", and change the value of "b" to zero, leaving the line with the following form:
[tex]y=m\,x+0\\y=m\,x[/tex]
This forces the line to have its y-intercept at the value zero (origin of coordinates)
So solve the following - 8 by 50 divided by 4 by 5
Answer:
20
Step-by-step explanation:
8*50=400 /4*5=20
400/20=20
Answer: -20
Step-by-step explanation:
-8 by 50 ÷ 4 by 5
-8 × 50 ÷ 4 × 5
[tex]\dfrac{-8\times 50}{4\times 5}\\\\\\=\dfrac{-2\times 10}{1\times 1}\\\\\\=\large\boxed{-20}[/tex]
what are you really changing when you change the length of the segment?
Answer: how much you have done
Step-by-step explanation:
Suppose mr. Swanson turns in a late order for 1 veggie sandwich and 1 chicken sandwich. what is the new ratio of chicken sandwiches to veggie sandwiches
Answer:
6 chicken sandwiches to 4 veggie sandwiches
Step-by-step explanation:
I took the quiz.
Answer:
c
Step-by-step explanation:
where's the trust?
Help ASAP! Examine the table, which contains some points of a quadratic function. Which statements are true about the intercepts of the function?
Select all that apply.
The function has a y-intercept of (2,0).
The function has an x-intercept of (0,8).
The function has an x-intercept of (2,0).
The function has an x-intercept of (4,0).
The function has a y-intercept of (0,8).
The function has a y-intercept of (4,0).
Answer:
third, fourth and fifth
Step-by-step explanation:
The y- intercept is the coordinates of the point where the graph crosses the y- axis. At this point the x- coordinate is zero, thus
The function has a y- intercept at (0, 8 ) → fifth
The x- intercepts are the coordinates of the points where the graph crosses the x- axis. At these points the y- coordinate is zero, thus
The function has an x- intercept at (2, 0 ) →third
The function has an x- intercept at (4, 0 ) → fourth
A worker bee flies 5/8 of a mile in 1/16 of an hour. At this rate, how far can the bee fly in 1 hour?
Answer:
10 miles
Step-by-step explanation:
So we know that it flies 5/8 of a mile in 1/16 of an hour. So after flying 5/8 of a mile 16 times, we will reach an hour. So we can do 5/8*16 and we get our answer of 10. So the bee will have traveled ten miles.
please help me on this
Answer:
8in
Step-by-step explanation:
The correct answer is eight inches
vertical translation
Help needed ASAP will give brainliest It’s just a small problem pls
Answer: 1/7
Step-by-step explanation:
Just divide the numbers to convert it to decimal.
Answer:
1/7
Step-by-step explanation:
1 divided by 7 using long division is 0.142857 repeated. Please give brainliest thanks
-40 - 6n= 2(1 + 4n)
n=-13
n=-3
n = Infinite solutions
n=-12
Answer:
[tex]\huge\boxed{n=-3}[/tex]
Step-by-step explanation:
[tex]-40-6n=2(1+4n)\\\\\text{Distribute the right side: }\left \{ {{2*1=2} \atop {2*4n=8n}} \right.\\\\-40-6n=2+8n\\\\-40+40-6n=2+8n+40\\\\-6n=42+8n\\\\-6n-8n=42+8n-8n\\\\-14n=42\\\\\frac{-14n}{-14}=\frac{42}{-14}\\\\\boxed{n=-3}[/tex]
Answer:
-3 = n
Step-by-step explanation:
-40 - 6n= 2(1 + 4n)
Distribute
-40 -6n= 2+8n
Add 6n to each side
-40 -6n+6n = 2+8n+6n
-40 = 2+14n
Subtract 2
-40-2 = 2+14n-2
-42 = 14n
Divide by 14
-42/14 = 14/14
-3 = n
Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15
Answer:
Step-by-step explanation:
∠g and ∠f are the interior angles on the same side of the transversal, therefore they're supplementary.
g + f = 180
4x + 3 + x + 17 = 180
5x + 20 = 180
5x = 180 − 20
5x = 160
x=1605=32
g = x + 17 = 32 + 17 = 49
Since ∠g and ∠e are corresponding angles, they're congruent.
g = e = 49