Answer:
X=10
Step-by-step explanation:
71+50=121
180-121=59
So (6x-1)=59
(6x-1)=59
+1 +1
6x=60
6x/6=60/6
x=10
Solve the following equation by completing the square
2x^2+4x=16
Answer:
x=2,-4
Step-by-step explanation:
Write the standard equation of a circle with center (-2, -1) and radius 2.
Answer:
(x+2)^2+(y+1)^2=4
Step-by-step explanation:
(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle
Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared
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
What is the awsner to (-6)(8) + (-11)
Answer:
-59
Step-by-step explanation:
(-6) (8) + (-11)
(-48) + (-11)
-48 -11
-59
Half the number of guesses are
less than what number?
Answer:
C. 74
Step-by-step explanation:
add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.
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:
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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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.
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
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
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
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
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.
Find out more on Linear equation at: https://brainly.com/question/13763238
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
Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.
Answer:
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Step-by-step explanation:
Recipe for 1 smoothie:
1/3 of an apple
1/4 of a lemon
2/3 of peach
A family of 6 arrives and they all want that smoothie.
Multiply every recipe for 1 smoothie by 6
Recipe for 6 smoothies:
6 × 1/3 of an apple
= 6/3 = 2 apples
6 × 1/4 of a lemon
= 6/4 = 3/2 of a lemon
6 × 2/3 of peach
= 12/3 = 4 peaches
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Solve the system using a matrix.
4x +
2y = 12
3x - y = -16
([?],[ ]
☁️ Answer ☁️
(-2, 10)
Hope it helps.
Have a nice day noona/hyung  ̄▽ ̄
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!!!!! 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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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
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
5. The graph of a function is a line that
passes through the coordinates (2, 11)
and (8, 14).
Write an equation in the form
y = mx + b for this function.
Answer:
y = 1/2x + 10
Step-by-step explanation:
(y-11)/(14-11) = (x-2)/(8-2)
(y-11)/3 = (x-2)/6
2y-22 = x-2
2y = x + 20
y = 1/2x + 10
Let m = slope of the line.
m = (14 - 11)/(8 - 2)
m = 3/6
m = 1/2
We now have the slope and the slope is 1/2.
We plug the slope and one of the point into the point-slope formula.
Here is the point-slope formula:
y - y_1 = m(x - x/_1)
I will use the point (2, 11).
y - 11 = (1/2)(x - 2)
y - 11 = (1/2)x - 1
Now we solve for y by adding 11 to both sides of the equation.
y = (1/2)x - 1 + 11
Answer: y = (1/2)x + 10
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)
Please help!!!!! I need help badly
Answer:
3/4
Step-by-step explanation:
54/72 simplified is the same as 3/4
A pound is epual to 0.454 kilograms , how many kilograms does a 142-pound man weigh?
Mrs.Oliveros bought 12.036 gallons of gasoline for her car.How is this number written in expaned notation
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]
who's seen Haikyuu? Who's your favorite?
Mine: Kozume Kenma
Answer: I also like kenma, also like shoyo
Step-by-step explanation:
Btw great question
Step-by-step explanation:
i think tanaka might be my favorite :)
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 :)
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