Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2
What is the value of b in the equation below?
9^-6 . 9^-2= a^b
A. -10, B. -6, C. 9, D. 16
Answer:
-10
Step-by-step explanation:
The figure shown is composed of a right rectangular prism attached to a right triangular
prism. The surface area of the figure is 130 cm?
What is the value of n, in centimeters?
n cm
4 cm
2 cm
Use the number pad to enter your answer in the box.
5 cm
cm
5 cm
4 cm
9514 1404 393
Answer:
n cm = 3 cm
Step-by-step explanation:
The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.
The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...
A = lw + 1/2bh
A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²
The lateral area is the product of the perimeter of the base and the depth of the prism.
A = Ph
A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²
The total surface area is the sum of the areas of the two bases and the lateral area:
130 cm² = 2(6 +5n) cm² +(64 +8n) cm²
130 = 76 +18n . . . . . . divide by cm², collect terms
54 = 18n . . . . . . . . . subtract 76
3 = n . . . . . . . . . . divide by 3
The value of n in centimeters is 3 cm.
6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!
[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]
Final Answer: 13Step By Step Explanation:
Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference☆彡HannaWhat is the domain of the function of y=√x+8 -7
Answer:
Step-by-step explanation:
Recall that the argument of the square root function y = √x must always be 0 or greater.
If you meant y=√x+8 -7, the domain is therefore [0, infinity).
But if you meant y=√(x+8) -7, the domain is [-8, infinity).
Those parentheses are important!
If I have a right triangle ab=12 and ac=15 what is BC
Answer:
9
Step-by-step explanation:
B²=H²-P²
B²=15²-12²
B²=81
√B=9
therefore it's 9
Find the value of x.
Answer:
x=9
Step-by-step explanation:
so the angles of a triangle add up to 180 and since it shows two angles of 60 which makes 120, you have 60 more degrees which means A has to be 60 degrees. so if all of the angles are the same then the side lengths are the same so since it already shows one side =9 then x=9
Answer:
x=9
Step-by-step explanation:
missing angle + 60 + 60=180 degree (sum of interior angles of a triangle
missing angle + 120 =180
missing angle =180 -120
missing angle =60 degree
since all angles are 60 degree it is an equilateral triangle and all sides of a equailateral triangle are equal .So, x is also 9
how to solve!? help pls I’ll give brainliest :))
Let me know if anything's unclear
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)
Step-by-step explanation:
[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]
What is the equation of the line
Need help with this :(
Answer:
B. m = [tex]\frac{3}{2}[/tex], y-int = 3
Step-by-step explanation:
To find the slope of the line, we need to plot two points
(2, 6) (-2, 0)
m = slope
Then use the Slope-Formula to Solve for the slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-6}{-2-2}[/tex]
m = [tex]\frac{-6}{-4}[/tex]
m = [tex]\frac{6}{4}[/tex]
m = [tex]\frac{3}{2}[/tex]
The Slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 3 because the line is going 3 units upwards on y axis!
Equation: y = 3/2x + 3
Slope: 3/2
y-intercept: 3
Answer:
m = 3/2 int- 3
Step-by-step explanation:
The line goes up 3 and goes right 2. The line crosses the y-intercept at 3.
WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!
Answer:
x = 15
Step-by-step explanation:
20^2 + x^2 = 25^2
400 + x^2 = 625
subtract each side 400
it results to 225
square root 225, to equals this -->
X = 15
Answer:
15
Step-by-step explanation:
I need help solving these
Factor completely. 486 +108 x + 6 x^2=
Answer:
[tex]6(x+9)^{2}[/tex]
Step-by-step explanation:
6 x^2+108 x +486
6(x^2+18 x +81)
6(x+9)(x+9)
[tex]6(x+9)^{2}[/tex]
Answer:
[tex]6(9+x {)}^{2} [/tex]
Step-by-step explanation:
[tex]486+108x+6x ^{2} [/tex]
[tex]6 \times 81+108x+6 {x}^{2} [/tex]
[tex]6(81+18x+ {x}^{2} )[/tex]
[tex]6(9+x {)}^{2} [/tex]
Hope it is helpful...Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?
9514 1404 393
Answer:
A = 27
B = 81
Step-by-step explanation:
Fill in the x-value and do the arithmetic.
a = 3^3 = 27
b = 3^4 = 81
Question 2 of 10
If you apply the changes below to the quadratic parent function, f(x) = x2,
what is the equation of the new function?
• Shift 1 unit left.
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
A. g(x) = -3(x-1)2
B. g(x) = -3(x + 1)2
C. g(x) = (-3x+1)
D. g(x) = -3x2 - 1
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.
To find:
The function after the given transformations.
Step-by-step explanation:
The transformation is defined as
[tex]g(x)=kf(x+a)+b[/tex] ... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If k<0, then the graph of f(x) is reflected over the x-axis.
If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the graph of f(x) shifts 1 unit left, so a=1.
The graph of f(x) vertically stretch by a factor of 3, so |k|=3.
The graph of f(x) reflected over the x-axis, so k=-3.
There is no vertical shift, so b=0.
Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get
[tex]g(x)=-3f(x+1)+0[/tex]
[tex]g(x)=-3f(x+1)[/tex]
[tex]g(x)=-3(x+1)^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the correct option is B.
write equivalent fractions for 2 3/4+1 2/3 using a common denominator.
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
How do I solve this
1. A square is lengthened by 6 units in one direction and by 5 units in the other
direction to make a rectangle, as shown in the diagram. The length of the side
of the original square is x units. What is the area of the whole new rectangle?
Answer:
a = x² + 11x + 30
Step-by-step explanation:
a = (x + 5)(x + 6)
multiply each term in the first set of parenthesis by each term in the second
a = x(x + 6) + 5(x + 6)
a = (x² + 6x) + (5x + 30)
combine like terms
a = x² + 11x + 30
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
Arrange the value into the ascending order:
[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the Range:
[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]
Outlier = This might be the value "far" from other data values= 62
The range of scores would be, sans outlier,
[tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]
Inter Quartile Range [tex]= Q_3 - Q_1[/tex]
[tex]IQR = 98 - 89 = 11[/tex]
Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]
Therefore,
Option a is "True".
Option b is "True".
Option c is "True".
Option d is "False".
Option e is "False".
Option f is "True".
A 16ft ladder leans against the side of a house. The bottom of the ladder is 15 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
x ≈ 69.6°
Step-by-step explanation:
The angle of elevation is the measure of angle x
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°
The angle of elevation is 69.6° ( to the nearest tenth )
What is the volume of this rectangular prism?
5 cm
3 cm
4 cm
A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3
Answer:
The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Step-by-step explanation:
In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...
V = l × w × h
(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).
Now we just substitute the values into the formula and we get...
V = l × w × h
V = 4cm × 3cm × 5cm
V = 60[tex]cm^{3}[/tex]
Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].
Jeffrey made a scale drawing of a house and its lot. He used the scale 7 inches : 4 feet. If the actual width of the backyard is 48 feet, how wide is the yard in the drawing?
Answer:
12
Step-by-step explanation:
Jeffrey made scale drawings of the house a lot
He used a scale of 7 inches: 4 feet
The actual width of the backyard is 48
Therefore the width of the backyard in the drawing is
= 48/4
= 12
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
36 km
24 km
52.5 km
58 km
Answer:
x = 36 km
Step-by-step explanation:
The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²
c = hypotenuse/longest leg = 45 km
a = x
b = 27
Thus:
45² = x² + 27²
2,025 = x² + 729
2,025 - 729 = x²
1,296 = x²
√1,296 = x
36 = x
x = 36 km
Below is a list of numbers. Use them to answer question 3.
2, 19, 31, 43, 59, 67
Question 3*
What type of numbers are shown?
A
B.
C.
composite numbers
even numbers
odd numbers
prime numbers
D.
Answer:
prime numbers
Step-by-step explanation:
not composite since,example, 2 is prime
not even since,example, 19 is odd
not odd since,example, 2 is even
Answer:
the answer is
prime numbers.
helppppopoop help help help
Answer:
160
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
Please help me with the right answer kitties it’s pretty easy but I can’t do it because of my lazy butt
Answer:
It is D and if you don't the y-values increase by 9.
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?
Given:
Cost of 13 movies = $15.99
To find:
Cost of each movie
Steps:
Lets assume the cost of each movie as 'x'.
So,
[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]
[tex]1.23 = x[/tex]
[tex]x = $1.23[/tex]
Therefore, the cost of one movie is 1.23 dollars
HAPPY TO HELP :)
If you need more help, feel free to ask
what is the scale factor from ABC to DEF?
Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex] → C
which of the following is equivalent to (i+3)+i(2i-4)
a. -5i + 1
b. -3i + 1
c. i-3
d. -i + 3
Answer:
answer is b
Step-by-step explanation:
i+3 -2 -4i = 1-3i
The expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Option B is correct
The given expression is:
(i+3)+i(2i-4)
Open the parenthesis by expanding the expression using the distributive rule
i + 3 + 2i² - 4i
Note that i² = -1
The expression, therefore, becomes:
i + 3 + 2(-1) - 4i
i + 3 - 2 - 4i
Collect like terms by bring the real parts together and the imaginary parts together
i - 4i + 3 - 2
Simplify to get the final expression
-3i + 1
Therefore, the expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Learn more here: https://brainly.com/question/12375854
