How to factor using grouping.
Step-by-step explanation:
step 1:-group the first two terms together and then the last terms together.
step 2:-factor out a GCF from each separate binomial.
step3:-factor out the binomial
What is the solution for the inequality 4≤r/18+10?
[tex]4 \leq \dfrac{r}{18} +10\\\\\\\implies 4-10 \leq \dfrac{r}{18}\\\\\\\implies -6 \leq \dfrac r{18}\\\\\\\implies -6(18) \leq r\\\\\\\implies -108 \leq r\\\\\\\implies r \geq -108\\\\\\\text{Interval,}~ [-108 , \infty)[/tex]
Please help me with this homework …
Answer:
I think letter B
Step-by-step explanation:
Yyyyyyyygggggggggggggggg
Is anyone can do this?
Answer:
Surface of[tex]35,875.86 cm^2[/tex]
Voliume of [tex]234,671.58 cm^3[/tex]
Long and painful calculations
Ok, this is going to take some time. The volume is the sum of all the solids, minus the half cylinder that makes the "tunnel" beneath it. That said, we can split the item into 3 main shapes, and the cylinder: The pyramid in the top left, the square based prism below the pyramid, and the trapezoid prism to the right. I edited a bit the image with paint to add measurements. It's paint so quality is what it is and deal with comic sans as a font.
Let's find the total surface first. We have the surface of the four faces of the pyramid, which are triangles of base 54 and height (red line)[tex]\sqrt{36^2+(\frac{54}2)^2} =\sqrt{2025}=45cm[/tex], givins us a total area of [tex]4\times \frac{bh}2 = 2\times 45\times 54 = 4860 cm^2[/tex]
We add the two lateral faces of the left prism: they are two rectangles of side length 70 and 54, for a total area of [tex]2(70)(54) = 7580 cm^2[/tex]
Take the rectangle to the side of the prism, of sides 54 and 70-34 = 36, giving an area of [tex]54\times 36 = 1944 cm^2[/tex]
Pick the inclined "roof" of the right prism, again a rectangles, sides 54 and 61: surface is [tex]3294 cm^2[/tex]
Two side faces of the right building: first pick the height (magenta line), with pythagorean theorem again, equal to [tex]\sqrt{ 61^2-11^2} = \sqrt{3600} = 60 cm[/tex]. The surface becomes [tex]2 \frac{(B+b)h}2 = (34+45)(60)= 4740 cm^2[/tex]
Missing the short sides and the half cylinder making the gallery. The sides - if you imagine un-hinging one and attaching to the bottom of the other - will make a rectangle of sides (45+70) cm and 54 cm with a circular hole in the middle. surface is [tex](45+70)\times54 - \pi(54/2)^2 =[/tex][tex]3920.94 cm^2[/tex].
Finally, the half cylinder. It's a "rectangle) tall (60+54) cm - the length of the whole contraption, and long half the circle, or [tex]27\pi[/tex]. It's surface is [tex](60+54)\times\27\pi = 9664.92 cm^2[/tex]
Done with surfaces. At this point we just add everything together. Grab a calculator and start adding up, if I didn't miss anything the total surface will be [tex]35875.86 cm^2[/tex]
Volumes now. You wished this was over? I totally did.
Bulk of the calculations are done luckly. It's just to cut and paste here and there.
Pyramid first. We know the side length, we know the height, volume is the usual formula
[tex]\frac 13l^2h = \frac 13 54^2\times 36= 33,048 cm^3[/tex]
Cube beneath. This one is also easy Sides are 54cm, 54cm and 70cm, volume is their product:
[tex]54*54*70= 204,120 cm^3[/tex]
Side prism now: again base surface times height, let's use the trapezoid as a base since we already have the area from above:
[tex]A_th = 2370\times54 = 127,980 cm^3[/tex]
From this we take half a cylinder of radius 27 tall as the whole structure is long. [tex]\frac12 \pi r^2h = \frac12 \pi (27)^2(60+54) = 130,476.42 cm^3[/tex]
We're done. Let's add the volume of the first 3 solids and subtract the last one - hope you have your calculator handy, to get in total a volume of [tex]234,671.58 cm^3[/tex]
Double and triple check numbers, even if I rand them with excel.
x-8/2=-14
solve for x
Answer:
-20
Step-by-step explanation:
-14 x 2 = -28
-28 + 8 = -20
There you go :D
Answer:
-10
Step-by-step explanation:
first Solve for the fraction
-8/2= -4
x-4= -14
next add the negative 4 to 14
x=-10
and there's you're answer!
What are the domain and range of f(x) = (one-sixth) Superscript x + 2?
domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}
The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}
Given the exponential function expressed as;
[tex]f(x)=(\frac{1}{6})^x + 2[/tex]
The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".
Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}Learn more here: https://brainly.com/question/24041834
Answer:
The answer is C on edge
Step-by-step explanation:
solve pls brainliest
Answer:
0.92 can be written as a fraction, because it is a terminating decimal. ( See the following. )
[tex] \frac{23}{25} [/tex]
0.777... can't be wrtten as a fraction, because it is a repeating decimal.
0.444... can't be written as a fraction, because it is a repeating fraction.
0.5813.. can't be written as a fraction, because
it is a decimal that neither terminates nor repeats.
For example : Root numbers don't terminates or repeats.
[tex] \sqrt{ 2} = 1.41421...[/tex]
I hope it helps.
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
I don't get this. (write a linear function f with the given values)
Answer:
f(x) = (1/2)x
Step-by-step explanation:
f(x) = mx + b
m is the slope
b is the y-intercept
m = rise/run
for every run of 2 in x
f(x) rises 1
m = 1/2
The y-intercept occurs when x = 0
from the table f(0) = 0
b = 0
Therefor
f(x) = (1/2)x + 0
f(x) = (1/2)x
Answer:
[tex]f(x) = 1/2*x[/tex]
Step-by-step explanation:
Linear functions are functions of the form "f(x) = a * x + b" where 'a' and 'b' are constants (numbers) and x is the input.
In this problem, you are given the inputs and outputs of the function. Since you know it is linear, you begin thinking about what number you can multiply on the left to get the value on the right.
-4 / 2 = -2
-2 / 2 = -1
0 / 2 = 0
We find that dividing x by 2 gives the correct output. Dividing by 2 is the same as multiplying by 1/2. Therefore, we have found the answer!
f(x) = 1/2 * x
Round this number to the nearest one.
3.5
Hello there, hope you are having a nice day.
This is the rule for rounding:
If the number is less than 5, we round down.- Example: 3.4 =>3
If the number is greater than or equal to 5, we round up.- Example: 6.7 =>7
Using this rule, we can round 3.5:
3.5 =>4
Hope it helps. Ask me if you have any queries.
Please mark Brainliest. It would mean a lot to me.
~An emotional teen who helps others with joy
Good luck.
help will give brainliest
Answer: the answer is line 2
Step-by-step explanation:
1\4-2\7 plese show your work
Answer:
-1/28
Step-by-step explanation:
You need to convert 2/7 and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28
Answer:
-1/28
Step-by-step explanation:
You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.
Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and
segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] is perpendicular bisector of [tex]{}[/tex][tex]\overline {AC}[/tex] Given
[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex] [tex]{}[/tex] Definition of bisected line [tex]\overline {AC}[/tex]
∠BDC = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠BDA = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠ABD ≅ ∠CBD [tex]{}[/tex] Given on the diagram
ΔABD ≅ ΔCBD [tex]{}[/tex] by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
Learn more here:
https://brainly.com/question/15274307
Find the angle measure.
The measure of the angle is ?
Answer:
133°
Step-by-step explanation:
The angle X is the same as the given.
[tex]\mathbb{ANSWER:}[/tex]
⇒ The two parallel lines are cut by a transversal so the interior angles on the same side of a transversal are congruent. This means that the measurement of the second angle is also 133 degrees.
Hence, the measurement of the angle is also 133 degrees.
Will give brainliest!
Answer:
D. 5/4
Step-by-step explanation:
Reciprocal is flipping that number around
can someone explain how to do this for me? i don't get it like what am i supposed to do..
Answer:
You need to select ALL of the fractions listed that are GREATER than 1/2.
One of those is 3/4.
Step-by-step explanation:
Make all of the fractions equal to 1/2, and then compare to what they really are. For example, taking 3/4 and making it equal to 1/2, which would be 2/4. Since it is 3/4 though, we know that it is GREATER than 1/2.
PLEASE ANSWER THIS RIGHT ASAP
Answer:
x=9
Step-by-step explanation:
23=7/9(6x-36)+9
Distribute 7/9.
23=14/3x-28+9
Add.
23=14/3x-19
Add 19 to both sides of the equation.
42=14/3x
Divide 14/3 from both sides of the equation.
X=9
Hope this helps :)
0.125 ultiply by 1000
Answer:
125 is answer .........:)
please help me with this soon much appreciated.
Answer:
1 : 2
Step-by-step explanation:
this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
Its 65
1ft=304.8mm
what is 10/13 as a decimal rounded to the nearest hundredth
Answer:
.770
Step-by-step explanation:
The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).
Which statement correctly describes the relationship between △PQR and △P′Q′R′?
1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.
4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.
no links please
Answer:
the Answer is:
△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
I got 100% on the quiz
The two triangles ΔPQR and ΔP'Q'R' are congruent.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.
In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.
Learn more about coordinates here:
https://brainly.com/question/20282507
#SPJ7
ANSWER PART B
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Liam suggests adding some other cards to Sia's game
Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
ANSWER PART B
How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.
Answer:
Answer:Back 2
Step-by-step explanation:Blue + Red=-2
Step-by-step explanation:
helpppppppppppppppppppppppppppppppp
Answer:
x ≤ -14
Step-by-step explanation:
Fill in the blank.
The
is the intersection of the three medians in a triangle.
O centroid
O incenter
O orthocenter
O circumcenter
O centroid
Step-by-step explanation:
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100
Answer:
2 students study neither french or Spanish
if mai runs 21 labs at the same rate ( 4 minutes ), how long does it take her ?
Solve the given equation
x – 1 + 5x = 23
Step-by-step explanation:
x - 1 + 5x = 23
6x - 1 = 23
6x = 23 + 1 = 24
6x = 24
x = 24/6
x = 4 ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
please help!!!!!!!!!!
Answer:
120 / (x+y) = 8
Step-by-step explanation:
120 / (x+y)
= 120 / (3+12)
= 120/15
= 8
the angle bisectors of a triangle intersect at the
Answer:
The incenter
Step-by-step explanation:
The three angle bisectors of the angles of a triangle meet in a single point, called the incenter
