9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The two marked angles are a linear pair, so are supplementary.
(8x -20)° +(8x +8)° = 180°
16x -12 = 180 . . . . . . . . . . . divide by °, collect terms
16x = 192 . . . . . . . . . . . add 12
x = 12 . . . . . . . . . . . divide by 16
Solve the equation. 4x-3=5x-7
Answer:
x=4
Step-by-step explanation:
4x-3=5x-7
-1x-3=-7 Subtract the 5x on both sides
-1x=-4 Add the -3 to the -7
x=4
Answer:
8q7s6271 be ta up dkdieow
the 100th term of the sequence with the term -1-4n
Given:
The terms of a sequence are given by
[tex]a_n=-1-4n[/tex]
To find:
The 100th term of the sequence.
Solution:
We have,
[tex]a_n=-1-4n[/tex]
Putting n=100, we get
[tex]a_{100}=-1-4(100)[/tex]
[tex]a_{100}=-1-400[/tex]
[tex]a_{100}=-401[/tex]
Therefore, the 100th term of the given sequence is -401.
Expand and simplify (x + 4)(x-7)
Answer.
(x+4)×(x-7)
= x^2 - 7x + 4x - 28
= x^2 - 3x - 28
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What is 8,000,000 + 100,000 + 7,000 + 400 + 20 + 4 in standard form?
Answer:
8,107,424
Step-by-step explanation:
We have an expanded form of a number and are asked to convert it into standard form.
We always have to look at the place value when it comes to expanded form.
So follow the place values :
Million , Hundred Thousand, Ten Thousand, Thousand, Hundred, Tens, Ones.
1,000,000, 100,000, 10,000, 1,000, 100, 10, 1
Look at the values given and replace it
8,000,000, 100,000, 0, 7,000, 400, 20, 4
Now add them all :
8,107,424
Help please, If your mom is making a garden and she wants it it be 5 yards how much cm is that
Answer:
it would be 457.2 cm or if you want it simplified then it would be 457 cm
hope this helped :)
Simultaneous equations
2x+4y=1
3x+5y=7
Answer:
x = 11.5, y = -5.5.
As an ordered pair this is (11.5, -5.5).
Step-by-step explanation:
2x+4y=1 Multiply this by 3:
3x+5y=7 Multiply this by -2.
6x + 12y = 3
-6x - 10y = -14 Adding these 2 equations:
0 + 2y = -11.
y = -11/2
y = -5.5.
Now plug this into the first equation:
2x + 4(-5.5) = 1
2x = 1 + 22
x = 23/2
x = 11.5.
Find the height of a cone with a diameter of 12 m and whose volume is 133 m.
A. 2 m
B. 9 m
C. 3 m
D. 1 m
Answer:
D
Step-by-step explanation:
Here, we want to get the height of the cone
radius = diameter/2
r = 12/2 = 6 m
To get this, we use the formula for the volume
V = 1/3 * pi * r^2 * h
133 = 1/3 * 3.142 * 22/7 *6^2 * h
h = 1.12 m
Which of the following word problems can be solved using the equation 10 x - 15=60
Answer:
Kit buys
Step-by-step explanation:
im right
[tex] \frac{2a + b}{3} [/tex]
a=
[tex] \frac{1}{2} [/tex]
b = -4
Answer:
the value of the equation is -1
A cone has a volume 7065in and a height of 30 in what is the radius of the cone?use 3.14 for pi
Answer:
15 inches.
Step-by-step explanation:
V = 1/3 pi r^2 h
7065 = 1/3 * 3.14 * 30 * r^2
r^2 = 7065 / (1/3 * 3.14 * 30)
r^2 = 7065 / 31.4 = 225
r = sqrt 225 = 15.
what is the image of (8,7) after a reflection over the line y=-x?
Answer:
(-7,-8)
Step-by-step explanation:
The original point is (8,7)
To reflect it, just switch their places and change their signs.
So, (-7,-8)
Help with hw please I’ll give brainliest
Hello please help me ASAP???
Answer:
b
Step-by-step explanation:
5 divided by 100 equal 0.005
Help need answers quick (unprofessional behavior and wrong answers will get reported)
Answer:
step 2 is the answer. when you start the question it's already in pemdas order. 48÷6 equals 8 then multiply it by the other 8 then you can add that quotient to the 10 which is 74 then subtract it by 7 and you get 67. step 2 goes the wrong way and ads the 8 with the 10 before multiplying the 8 by the 8 making everything go in wrong turns.
mmmmmm u should help -9/14+ 2/7
Answer:
0.9285714285714 is the answer.....A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?
Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
la pirámide tiene una base cuadrada, por tanto, tiene 4 caras laterales triangulares. hallar el área y el volumen sabiendo que tiene de base 8cm y de altura 13 cm
Answer:
i think i know th problem but i do not understand your language i sorry
Step-by-step explanation:
The differnce between a number divide by 3 and 4 is 20
Answer:
(n/3)/4 =20
Step-by-step explanation:
i think this is what your looking for if not im sorry
have a blessed day :)
Evaluate 2x when X4
what’s the answer for this?
triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.
Step-by-step explanation:
The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:
A( 0,0 ), → (0,0)
B(2, 0) → (-2,0)
and C(0, 4). → (0,-4)
Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)
Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:
(0,0) → (0,0)
(-2,0)→( -6,0)
(0,-4) → (0,-12)
The answer is
A' (0,0) B' (-6,0) C' (0,-12)
The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.
Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?
Answer: 120
Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D
3x + 8= 3x+
What value could you write in after 3x that would make the equation
true for:
1. no values of x ?
2. all values of x ?
3. just one value of x?
Answer:
Step-by-step explanation:
Answer:
(see my explanation)
Step-by-step explanation:
Basically,
For no value it can be anyhting but 8.
For all values it HAS to be 8.
For just one anything that has "x" in it.
Example:
1. -9
2. +8
3. 7+x or 2x
NOTE: this varies depending on the varible after the x value. (It's not always 8)
☝Example:
5x+2 = 5x + _____
1. 3
2. +2
3. x
One box of nails weighs 3.4 pounds and another box weighs 5.2 pounds. How much more does the heavier box weigh?
Answer:
1.8 pounds
Step-by-step explanation:
I will mark you as the brainiest if you get this correct Thx so much xxx
Answer:
22.7
Step-by-step explanation:
9³-8*6 = 729-48= 681
(8²-4) / 2 = 30
681/30 = 22.7
Answer:
[tex] \huge \boxed{ \blue{ \text{22.7}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:order of PEMDASgiven:[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]let's solve:[tex]step - 1 : define[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex][tex] \frac{729 - 8 \times 6 }{ (64 - 4 ) \div 2} [/tex][tex] \frac{721 -48}{60 \div 2} [/tex][tex] \frac{681}{30} [/tex][tex]22.7[/tex]The price of a car was decreased by 9% to £14000. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
152600
Step-by-step explanation:
this is because 9% of 140000 is 1523
In the diagram below, what is the approximate length of the minor arc ?
A. 36 cm
O
B. 72 cm
23 cm
120*
ОО
C. 48 cm
D. 24 cm
Answer:
The approximate length of the minor arc would be 48 cm.
Answer:
C
Step-by-step explanation:
solve question >> ( - 3x)^2
Answer:
(-3x)^2 = (-3)^2(x^2)
=9x^2
Let me know if this helps!
What does A represent in "BA+AB+AB+CAA"
Answer:
that looks hard sorry i cant help you good luk .
Pls help will give branliest
Answer:
7x² - 26x + 9
Step-by-step explanation:
(g(x)²) = (3x - 2) (3x - 2)
(g(x)²) = 9x² - 6x - 6x + 4
(g(x)²) = 9x² - 12x + 4
(9x² - 12x + 4) - (2x² + 14x - 5) = 7x² - 26x + 9
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.