[tex]\boxed{x\:=\:-8 }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
[tex]5x + 6 = 3x - 10[/tex]
[tex]➺ \: 5x - 3x = - 10 - 6[/tex]
[tex]➺ \: 2x = - 16[/tex]
[tex]➺ \: x = \frac{ - 16}{2} [/tex]
[tex]➺ \: x = - 8[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]5x + 6 = 3x - 10[/tex]
[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]
[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]
[tex]➼ \: - 34 = - 34[/tex]
[tex]➼ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Answer:
-8
Step-by-step explanation:
5x + 6 = 3x − 10
Subtract 3x from both sides:
5x + 6 - 3x = 3x - 10 - 3x
2x + 6 = -10
Subtract from 6 both sides:
2x + 6 - 6 = -10 - 6
2x = -16
Divide both sides by 2:
2x -16
____ = ____
2 2
-16
x = ____ (divide)
2
final answer: x = -8
Consider angle θ in Quadrant II, where cosθ=−12/13. What is the value of sinθ?
Answer:
The value of sin theta is 5/13
Step-by-step explanation:
In the second quadrant, sin is positive and cos is negative
Cos theta = -12/13 = adjacent/hypotenuse
Sin theta = opposite/hypotenuse
opposite = sqrt(hyp² - adj²) = sqrt (13² - 12²) = sqrt (169 - 144) = sqrt (25) = 5
Sin theta = opposite/hypotenuse = 5/13
The value of a car has decreases by 5% each year. Sophie bought a car two years ago for £10000 work out the value now .
Answer:
£9000
Step-by-step explanation:
= £10 000× 5 ×2
100
= 1000
= £10 000-1000
= £9000
Please help ASAP. Differentiating polynomials
Answer:
Step-by-step explanation:
If the function is
[tex]y=x^2-4x[/tex], then its derivative is
y' = 2x - 4. This is equal to 0 where
2x - 4 = 0 and
2x = 4 so
x = 2. When x = 2 in the original equation:
[tex]y =2^2-4(2)[/tex] so
y = -4. So the coordinate is (2, -4). On to the next one:
If the function is
[tex]y=25x +\frac{1}{x}[/tex] then its derivative is
[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where
[tex]25-\frac{1}{x^2}=0[/tex] and
[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:
[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so
[tex]25x^2=1[/tex] and
[tex]x^2=\frac{1}{25}[/tex] so
x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so
x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates
[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]
Help is needed please!!!!
Answer:
31/20
Step-by-step explanation:
You need to plug in x as y-3.
so instead of 10x+10y=1 it is 10(y-3)+10y=1
Then just simplify the equation to find the value of y
¿Cuánto mide el lado de un terreno cuadrado, si su área 144 m2?
Answer:
72
Step-by-step explanation:
all you had to do was divide by 2
a rectangle and square equal perimeter if the rectangle has width 8 cm and length 12 cm what is the area of square
Answer:
Step-by-step explanation:
100 sq cm
PLEASE HELP!! Which variable is most important to the following problem?
Jackie played the first 8 minutes of a basketball game. Layla then replaced
her for the rest of the half. Layla started the second half and was replaced by
Jackie with 9 minutes left in the game. If each half is 16 minutes long, how
long did Jackie play?
A. The number of players who played during the game
B. The number of minutes Layla played in the second half
C. The total number of minutes Jackie played
D. The length of the half
Answer:
Step-by-step explanation:
d
Which number(s) below belong to the solution set of the equation? Check all
that apply
x + 9 = 26
A. 17
B. 234
C. 52
D. 35
E. 26
F. 3
Answer:
A
Step-by-step explanation:
x + 9 = 26
x = 17
Answer:
A.17
Step-by-step explanation:
17+9=26
What is the common factor in the expression 6ba + 2ab? *
Answer:
2ab
Step-by-step explanation:
6ba + 2ab = 2ab(3+1)
= 2ab (4)
so, the common factor = 2ab
Answer:
2ab
Step-by-step explanation:
which function is represented by the table
Answer:
f(x)=x+5
Step-by-step explanation:
x=-1 therefore -1+5=4
Answer:
Step-by-step explanation:
Calculate the following:
5 +0,3 +0,04 + 0,008 in steps
Answer:
5.348
Step-by-step explanation:
5 + 0.3 + 0.04 + 0.008
If you find this difficult to calculate put zeroes in Hundredths place and thousandths place
=> 5.000 + 0.300 + 0.040 + 0.008
=>5.348
solve for " x "
[tex]x = 42 - 9[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:33}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]x = 42 - 9[/tex]
➼[tex]\:x = 33[/tex]
Therefore, the value of [tex]x[/tex] is 33.
[tex]\sf\pink{Thank\:you. \:ヅ}[/tex]
Answer:
x =33
Step-by-step explanation:
x = 42-9
We are solving for x, which is already isolated
42-9 = 33
x = 33
Check 33+9 = 42
select the expression that is equivalent to (x-7)
Solve −1/4x=7 please
Answer:
x = -28
Step-by-step explanation:
−1/4x=7
Multiply each side by -4 to isolate the variable
-4 * −1/4x= -4*7
−1/4x=7
Based on the picture below (note that it is not drawn to scale), Maggie says that . Is she correct? Explain why or why not.
Answer:
Step-by-step explanation:
By using the property of similar triangles,
"Corresponding sides of two similar triangles are proportional"
If ΔSMA ~ ΔPOD
[tex]\frac{SM}{PO}=\frac{MA}{OD}=\frac{SA}{PD}[/tex]
[tex]\frac{6}{10}=\frac{5}{10}=\frac{5}{12}[/tex]
[tex]\frac{3}{5}=\frac{1}{2}=\frac{5}{12}[/tex]
Since, ratios of corresponding sides are not equal,
Therefore, the given triangles are not similar.
Answer for all of them
the answers are in the picture
Evaluate the expression when a=8.
a²-9=?
Answer:
(a-3)(a+3) is the answer
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {55}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {a}^{2} - 9[/tex]
Substituting the value "[tex]a = 8[/tex]" in the above expression, we have
➺ [tex] \: {8}^{2} - 9[/tex]
➺ [tex] \: (8 \times 8) - 9[/tex]
➺ [tex] \: 64 - 9[/tex]
➺ [tex] \: 55[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Someone please help me thanks
Answer:
a. 7.2
Step-by-step explanation:
CAH (cos = adj/hyp)
cos53 = b/12; cross multiply
cos53*12 = 7.2
Find the equation for the line that passes through the point (−3,−3), and that is perpendicular to the line with the equation x=4.
Answer:
y = - 3
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis
A line perpendicular to it will be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates of the points the line passes through.
The line passes through (- 3, - 3) with y- coordinate - 3 , then
y = - 3 ← equation of perpendicular line
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
y=3 x=1
Step-by-step explanation:
Answer:
above one is correct. I think so
binomial theorem to expand (x+4)^4
Answer:
Step-by-step explanation:
(x+4)^2.(x+4)^2
= x^4 +16x^3+96x^2+256x+256
lines that intersect and form four right angles are called?
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
A group of friends wants to go to the amusement park. They have no more than $230 to spend on parking and admission. Parking is $8, and tickets cost $27.75 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.
Answer:
6 people
Step-by-step explanation:
$230 - $8 = $222
x · 35.75 = 222
x · 35.75 ÷ 35.75 = 222 ÷ 35.75
[tex]x=6\frac{30}{143}[/tex]
Compare. Use >, <, or =.
123,546,789 >, <, or =, 123,456,789
please help
Step-by-step explanation:
123,546,789 > 123,456,789
#CMIIWFind the volume of the composite figure. Round to the nearest hundredth. NO LINKS PLEASE.
Answer:
b. 113.04 ft³
Step-by-step explanation:
To find the volume of this composite figure, we must find the volumes of the shapes it is composed of. After finding the volumes, add the volumes.
This figure is composed of a circular cone and a cylinder.
To find the volume of a cylinder, multiply the radius by itself twice, then multiply the product pi, lastly multiply the product by its height.
[tex]v=\pi *r^2*h[/tex]
To find the volume of a circular cone, multiply the radius by itself twice, then multiply the product by the height, then multiply the product by pi, lastly multiply the product by 1/3.
[tex]v=1/3*h*\pi* r^2[/tex]
Now that we know the formulas, we can find the volume of this figure.
----------------------------------------------------------------------
The height of the cylinder is 3 feet. The radius is 3 feet as well.
Remember: 3.14 will be used for pi (π).
[tex]v=\pi *3^2*3=84.78[/tex]
The volume of the cylinder is 84.78 feet.
----------------------------------------------------------------------
Further more, we find the volume of the circular cone.
The height of the cone is 3 feet. The radius is 3 feet as well.
[tex]v=1/3*3*\pi *3^2=28.26[/tex]
Lastly, we add the volumes of both shapes.
[tex](84.78+28.26)[/tex]
[tex]=113.04.[/tex]
113.04 does not need to be rounded to the nearest hundredth.
----------------------------------------------------------------------
Therefore, the volume of this composite figure is 113.04 ft.
CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THINK YOU
Answer:
[tex]10\frac{7}{18}[/tex]
Step-by-step explanation:
First revert it to improper fraction.
[tex]\frac{13}{2} +\frac{35}{9} \\\\[/tex]
Now put them to a common denominator.
[tex]\frac{187}{18}[/tex]
=> [tex]10\frac{7}{18}[/tex]
Consider the trapezoid shown below.
6 in.
4 in.
6 in.
6 in.
(not drawn to scale)
Answer:
36
Step-by-step explanation:
1/2bh
1/2 (6*4) =12
Considering there are three triangles we will multiply by 3
12*3=36
What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31
Answer:
[tex]x_{n} =[/tex] -10 - 3(n-1)
Step-by-step explanation:
The answer is
xn = -10 - 3(n-1)
Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then find the scale factor of the dilation.
A : Reduction scale factor 1/14
B : Enlargement; scale factor 14
C : Enlargement scale factor 0.5
Answer:
A.
Step-by-step explanation:
we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.
and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?
7 × s = 0.5 = 1/2
s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14
=> answer A is correct
The dilation from the figure on the left to the figure on the right is a reduction.
Reduction scale factor 1/14.
The correct option is A.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
We have given that two figures.
The dilation from the figure on the left to the figure on the right is a reduction.
And the scale factor is,
= actual / scale
= 1/(7 / 0.5)
= 1/14
Therefore, the scale factor is 1/14.
To learn more about the scale factor;
https://brainly.com/question/29464385
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