Answer:
You can't round 7 to the nearest to 10, because there is nothing to round.
Step-by-step explanation:
The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?
The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope and b is the y intercept.
The line passes through the point (1, -8) and has a slope of 2. Hence:
y - (-8) = 2(x - 1)
y = 2x - 10
f(x) = 2x - 10
f(0) = 2(0) - 10 = -10
The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.
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A cone has radius 9 and a height 12. A frustum of this cone has height 4.
What are the radii of the bases of the frustum?
What is the slant height of the frustum?
What is the lateral area of the frustum?
(If you waste an answer it will be removed so don't try and get "Free" points.)
Answer:
Part A)
The lower base has a radius of 9 units, and the upper base has a radius of 6 units.
Part B)
5 units.
Part C)
75π or about 235.62 square units.
Step-by-step explanation:
Please refer to the figure below.
The cone has a radius of 9 units and a total height of 12 units.
A frustum of the cone has a height of 4 units.
Part A)
The lower radius of the frustum will simply be 9 units.
For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:
[tex]\displaystyle \frac{12}{8}=\frac{9}{x}[/tex]
Solve for x. Simplify:
[tex]\displaystyle \frac{3}{2}=\frac{9}{x}[/tex]
Cross-multiply:
[tex]18=3x\Rightarrow x=6[/tex]
The upper base has a radius of 6 units.
Part B)
We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:
[tex]SH^2=12^2+9^2[/tex]
Simplify:
[tex]SH^2=225\Rightarrow SH=15\text{ units}[/tex]
Now, find the slant height of the upper cone:
[tex](SH_\text{cone})^2=8^2+6^2=100[/tex]
So:
[tex]SH_\text{cone}=10[/tex]
Then the slant height of the frustum will be the cone subtracted from the total. Thus:
[tex]SH_{\text{frustum}}=15-10=5\text{ units}[/tex]
Part C)
We can first find the lateral area of the entire cone. The lateral area is given by:
[tex]LA=\pi r\ell[/tex]
The lateral area of the entire cone will be:
[tex]LA=\pi (9)(15)=135\pi[/tex]
The lateral area of the upper cone will be:
[tex]LA_\text{cone}=\pi(6)(10)=60\pi[/tex]
Then the lateral area of the frustum is:
[tex]LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2[/tex]
Help!!!!! Which of the following is the difference of two squares?
Answer:
b
Step-by-step explanation:
i did this b4
The following is the difference of two squares
2. 8x² - 16y²
3. 25m² + 100n²
4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
we have to find expression for difference of two squares
1. 4g - 16h
= (2)²g- (4)²h
2. 8x² - 16y²
= (2√2x)² - (4y)²
3. 25m² + 100n²
= (5m)² + (10n)²
4. 100 [tex]a^4[/tex] - 9 [tex]b^{12[/tex]
= (10a²)² - (3[tex]b^6[/tex])²
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An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest circle that could fit in the square.
How many more inches of silver wire did the artist use compared to copper wire ?
Answer: The artist used 8.6 inches more of silver wire
Step-by-step explanation:
Perimeter of the square
P = 4*a
P = 4*a = 40 in
a = 10 in
Each side of the square has a length of 10 in
The diameter of the circle is equal to the length of the side of the square
Diameter = 10 in
Perimeter of the circle
P_c = 2*π*radius = π*diameter
P_c = (3.14)*10 in = 31.4 in
Inches of silver wire (square) = 40 in
Inches of copper wire (circle) = 31.4 in
40- 31.4 in = 8.6 in
help quick pls im on a test!!!
what kind of function is f(x)=|x+2|
a. linear
b. quadratic
c. absolute value
d. exponential
Solve the system using a matrix.
4x +
2y = 12
3x - y = -16
([?],[ ]
☁️ Answer ☁️
(-2, 10)
Hope it helps.
Have a nice day noona/hyung ￣▽￣
The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a 4/5 scale factor to create the smaller prism.
When the large prism was reduced, the surface area changed by a factor of
64/125
16/25
4/5
10/8
Answer:
B. 16/25
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
Write an expression equivalent to
4 - (-7)
help
Answer:
7 - (-4)
Step-by-step explanation:
You can turn the numbers.
Given the function
g(x)=−3x−2
evaluate
g(−1)
Answer:
1
Step-by-step explanation:
Substitute x with (-1),
(-3) x (-1) = 3
3 - 2 = 1
Have a great day <3 (I'm happy)
An engineering student is drilling two holes
and needs to measure the distance
between them. The student measures the
distance as 3.457 inches. The student's
teacher measures the distance as 2.387
inches. What is the difference between their
measurements?
5811 inches
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
48 cm
Step-by-step explanation:
6x8 Please dont be mad if im wrong TT>TT
yoo i need help asap
Answer:
A point on (0,2) and (7,3)
Step-by-step explanation:
First draw a point on 2 y axis to represent y intercept. The slope is rise over run in this example, do it backwards so go right 7 and 1 up. So it is (7,-3)
Check: 3-2/7-0
1/7 is slope
So this solution is correct
Please help!!!!! I need help badly
Answer:
3/4
Step-by-step explanation:
54/72 simplified is the same as 3/4
Sam is baking 10 pies for a school bake sale. He uses 21 cups of apples for 6 pies. How many cups of apples will he need to make the 10 pies?
Answer:
35
Step-by-step explanation:
6 pies = 21 cups of apples
1 pie = 3.5 cups of apples
10 pies = 35 cups of apples
PLZ HELP ILL MARK U BRAINLIEST!!!
Answer:
x=18
Step-by-step explanation:
7x-1=125
+1 +1
7x=126
7 7
X=18
A set of nine data points is shown below.
8, 11, 12, 10, 9, 7,5, 3, 9
Which statement is true if a tenth data point of 45 is added to the data set?
A
The mean and median will both increase.
B
The mean will increase and the median will decrease.
The mean will increase and the median will remain the same.
с c
D
The mean and median will both decrease.
Which statement is true if a tenth data point of 45 is added to the data set
Answer:
first arrange the numbers in ascending order 3,5,7,8,9,9,10,11,12
Answer:
с
The mean will increase and the median will remain the same.
Step-by-step explanation:
Solve |2x|=8
Tell me how you got the answer pls
Answer:
4
Step-by-step explanation:
2 x 4 = 8
Absolute value means no symbols so it would just be 2 x something equals 8 which is 4.
Matthew has the choice between accepting a prize of $100,000 or being given a penny to start and adding triple the previous amount every day for three weeks . Which should he choose and why ?
Answer:
the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.
Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)
Answer:
=14m^2p^2+7m^2p+7mp^2+7mpx
Laura borrowed $44,000 at 13% for 2 years. what was the total interest?
Answer:
13% of 44,000
Do the math then you’ll get the answer :)
Answer:
$12,183.60
Step-by-step explanation:
(I am assuming this is monthly interest and not continuous interest)
$44,000(1.13)² = $44,000(1.2769) = $56,183.60 - $44,000 = $12,183.60
Mrs.Oliveros bought 12.036 gallons of gasoline for her car.How is this number written in expaned notation
A pound is epual to 0.454 kilograms , how many kilograms does a 142-pound man weigh?
What is the awsner to (-6)(8) + (-11)
Answer:
-59
Step-by-step explanation:
(-6) (8) + (-11)
(-48) + (-11)
-48 -11
-59
Solve.
x + 7 = –2
A. 9
B. 5
C. –5
D. –9
Answer:
X = 9, in other words it's A
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
x+7=-2
-7 -7
-7 plus -2 equal 9
:) hope that helped
HELP PLSSS
What is the area of the figure?
Answer:
the correct answer is 126 sq. cm
Step-by-step explanation:
Area of square= side = 6cm
Area = s*s = 6*6 = 36sq. cm
Area of rectangle: length = 12cm and breadth = 6cm
Area of rectangle = length * breadth = 12 * 6 = 72sq. cm
Area of triangle: height = 6cm and base = 6cm
Area of triangle = 1/2 * base * height = 1/2 * 6 * 6 = 3* 6 = 18sq. cm
Total area of the given figure = Area of square + Area of rectangle + Area of triangle
= 36 + 72 + 18 = 126sq. cm
What steps transform the graph y = x2 to y = x2 + 8
Answer:
Jun 25, 2018 — Reflection over the y -axis. Vertical stretch by a factor of two. Horizontal translation right two units. Vertical translation up two units. I hope this helps you .. ;]
Step-by-step explanation:
Clayton needs to reflect the triangle below across the line y = x.
On a coordinate plane, triangle A B C has points (5.5, 7), (6, 2), (4, 4).
Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Answer:
A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.
C. C’ will remain in the same location as C because it is on the line of reflection.
D. The image and the pre-image will be congruent triangles.
Step-by-step explanation:
A. Clayton could use the relationship (x,y)\rightarrow (y,x)(x,y)→(y,x) to find the points of the image.
This option is TRUE. When we reflect a shape in the line y=xy=x , we just have to swap the x and y coordinates.
B. .Clayton could negate both the x and y values in the points to find the points of the image.
False; This is a rotation of 180\degree180° about the origin.
C. C’ will remain in the same location as C because it is on the line of reflection.
This statement is True
C’ will move because all points move in a reflection.
This statement is false because,C(2,2) and C'(2,2) will have the same coordinate.
D. The image and the pre-image will be congruent triangles.
This is TRUE because reflection is a shape preserving transformation(rigid motion).
E. The image and pre-image will not have the same orientation because reflections flip figures.
This is False
Hope this helps :)
Answer:
a,c,e,f
Step-by-step explanation:
Solve the following equation by completing the square
2x^2+4x=16
Answer:
x=2,-4
Step-by-step explanation:
Express the polynomial as a product of linear factors.
f(x) = 2x2 + 4x2 - 2x - 4
O A. (x-2)(x + 1)(x - 1)
O B. (x-2)(x-2)(x-1)
O c. 2(x + 2)(x + 1)(x-1)
O D. (x-4)(x + 1)(x-1)
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
We have,
To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.
First, let's group the first two terms and the last two terms together:
f(x) = (2x³ + 4x²) + (-2x - 4)
Factor out the greatest common factor from each group:
f(x) = 2x²(x + 2) - 2(x + 2)
Notice that we now have a common factor of (x + 2) in both terms.
We can factor it out:
f(x) = (x + 2)(2x² - 2)
Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:
f(x) = (x + 2)2(x² - 1)
Now we can factor the expression x² - 1 as the difference of squares:
f(x) = (x + 2)2(x - 1)(x + 1)
Therefore,
The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)
Learn more about polynomials here:
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The following two triangles are similar find x
Answer:
5
Step-by-step explanation:
As we can see they are similar triangles then
the ratio of the corresponding sides are equal then
x /25 = 9/45
x = 25 * 1/ 5
x = 5
Hope it will help :)