the area of square ABCD is 10cm2 show that x^2+6x=a where a is a constant to be found
Answers
The value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The question is:
The area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant to be found.
The missing figure is attached; please refer to the picture.
As we can see in the figure we have given a rectangle.
Area of rectangle = (3 + x)(3 + x)
10 = (3 + x)(3 + x)
or
10 = (3 + x)²
10 = 9 + 6x + x²
After rearranging:
x² + 6x = 1
We have equation:
x² + 6x = a
After comparing:
a = 1
Thus, the value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.
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Related Questions
(18 ÷ 2) × (56 ÷ 7) =
Answers
do what’s in the parentheses first and then just multiply
Answer: 72
Step-by-step explanation:
Step 1: Divide 18 and 2, which is 9
Step 2: Divide 56 and 7, which is 8
Step 3: Multiply 9x8 and get 72
please tell me the answer...
due today
Answers
Answer:
I think
each division is subtracted like
8 - 4 = 4
so that why it's written as
1/4 ...........
1/8 1/8 ..........
Step-by-step explanation:
if understand I need brainlist
if not then also
thanks
Solve the following...
6x - 5 = -9x -9
Answers
Answer:
6x - 5 = (-9x) - 9
6x + 9x = (-9) + 5
15x = (-4)
x = (-4/15)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = -\cfrac{4}{15} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 6x - 5 = - 9x - 9[/tex]
[ add 9x and 5 on both sides ]
[tex]\qquad \tt \rightarrow \: 6x - 5 + 9x + 5 = - 9x - 9 + 9x + 5[/tex]
[tex]\qquad \tt \rightarrow \: 6x + 9x = - 9 + 5[/tex]
[tex]\qquad \tt \rightarrow \: 15x = - 4[/tex]
[tex]\qquad \tt \rightarrow \: x = - \cfrac{4}{15} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Please solve it. It will help me for my exam preparation.
Answers
The solution of the given expression is [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Given [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]
We have to solve the above expression.
We know that expression is a combination of numbers, symbols, variables and coefficients, indeterminants. Expression shows relationship between variables. LCM is the smallest number that is divisible by both the numbers whose LCM has been taken. Coefficients are present in the beginning of variables. Symbols are arithmetic signs like addition, subtraction, multiplication and division, etc.
We have to take LCM of the expression and solve accordingly so that the expression can be solved =
[tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex]= [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
Hence the expression [tex]p^{2} /(p-y)^{y} -2p/(p-y)^{y-1} +7/(p-y)^{y-2}[/tex] is equal to = [tex][p^{2}(p-y)^{y-1} (p-y)^{y-2} -2p(p-y)^{y} (p-y)^{y-2} +7(p-y)^{y} (p-y)^{y-1}]/ (p-y)^{y} (p-y)^{y-1}(p-y)^{y-2}[/tex]
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If x•x = 10, what is the value of X?
Answers
Answer:
x = 3.16
Step-by-step explanation:
x * x = 10
[tex]x^2 = 10[/tex]
square root both sides
[tex]\sqrt{x^2} = \sqrt{10}[/tex]
[tex]x = \sqrt{10}[/tex]
x is appr. 3.16
Answer:
x= √-10, √ 10
Step-by-step explanation:
If g:
x = 2x-3 4 find 9^-1 (-3)
Answers
The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
What is inverse of a function?Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
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Two number cubes are rolled for two separate events:
Event A is the event
that the sum of numbers on
both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Complete the conditional-probability formula for
event B given that event A occurs first by writing A and B in the blanks:
Answers
Answer:
Good idea for thanks......
Find the value of x. Then find the measure of each labeled angle.
Answers
Answer:
X=20; the labeled angles are 80 and 100
Step-by-step explanation:
These angles are "consecutive interior angles" so they will add up to be 180.
180 = 5x + 4x
180 = 9x
180/9 = 9/x
20=x
1
2
4
10
01:28:2
solve x2 + 12x = -11 by completing the square. which is the solution set of the equation?
be
o {-11, -1}
o {-11, 1}
{11, -1}
o {11, 1}
Answers
x^2 + 12x + 11 = 0
then complete the square
(x + 6)^2 - 36 + 11 = 0
(x + 6)^2 - 25 =0
(x + 6)^2 = 25
take the square root of both sides
(x + 6) = 5 or (x + 6) = -5
then, isolate x,
x = -1 or x = -11
Answer:
11
Step-by-step explanation:
$80 gift marked up 60%
give me the answer after the markup
Answers
Answer:
128
Step-by-step explanation:
0.6 (the percentage) x 80.00= 48.00
48.00 + 80.00 = 128.00
Answer:
128
Step-by-step explanation:
60% + 100% (new price) = 160% = 1.6
80 x 1.6 = 128
Explanation to answer
Answers
Answer: 2
Step-by-step explanation:
[tex]{12x+2}=\frac{18+34}{2}\\\\12x+2=26\\\\12x=24\\\\x=\boxed{2}[/tex]
These points are linear.
Find the slope.
x036912
y12345
[?]
slope =?/?
Answers
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6,3) and (x₂, y₂ ) = (9,4) ← 2 ordered pairs from the table
m = [tex]\frac{4-3}{9-6}[/tex] = [tex]\frac{1}{3}[/tex]
What is the additive inverse of x=-1317, and verify -(-x) = x ?
Answers
Answer:
1317 is the additive inverse of x = -1317.
Step-by-step explanation:
Additive inverse of a number which when added to the original number gives zero as the result.
Additive inverse of x = -1317
-1317 + 1317 = 0
1317 is the additive inverse of x = -1317.
Verification of -(-x) = x
L. H. S
-(-x) = -{-(-1317)}
= - 1317
R. H. S
x = -1317
Thus, L.H.S. = R.H.S
-(-x) = x
Verified
x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
Answers
The Standard form of the equation of circle is (x+21)² + (y+19)² = 849
What is Standard form of circle?To transform general form to a standard form, you can use completing the square method or you can convert this equation
x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Here, Given: x² + y² + 42x + 38y − 47 = 0
Required: Find the values of h, k, and r using this formula
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
On comparing we get,
-2h = 42
h = 21
-2k = 38
k = 19
-47 = h² + k² - r²
-47 = 21² + 19² - r²
r² = 849
r = √849
Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849
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what is the measure of
Answers
Answer:
C. Ф = 4 radians
Step-by-step explanation:
Given,
Radius of the Circle (r) = 3cm
Length of the Arc (S) = 12cm
In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.
Therefore, S = r*Ф
12 = 3*Ф
Hence, Ф = 4 radians
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The graphs below have the same shape. What is the equation of the blue
graph?
Answers
Answer:
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1 . Below is the explanation
Step-by-step explanation:
Given:
The graph of f(x)=x^{2}x
2
To find:
The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=(x-3)^{2} +1(x−3)
2
+1
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F Question 8(Multiple Choice Worth 1 points) (04.06 MC) In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. The graph represents which system of inequalities? y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3 Question 9(Multiple Choice Worth 1 points) (04.06 LC) Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and i
Answers
The graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3
How to depict the graph?The equation of the line will be:
y = mx + b
In this case, we can observe that both lines have the same y intercept and that the lines are solid.
Hence, graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3. The graph is attached.
When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.
Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.
One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
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what can this be classified as?
Answers
Answer:
D. None of the Above
Step-by-step explanation:
They don't relate whatsoever
1. What is the number of possible outcomes of picking one letter at a time from the word ANGELES CITY?
2. What is the probability of drawing E?
3. What is the probability of drawing a vowel?
4. What is the probability of drawing a consonant?
5. What is the probability of drawing P?
Answers
Answer:
4
Step-by-step explanation:
5
Jej pls help i need help thank you
Answers
Answer:
Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]
Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]
Step-by-step explanation:
Finding the largest total :
The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20Finding the smallest total :
⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40Answer:
Largest Totals : 69/20
Smallest Totals : 121/40
Step-by-step explanation:
Given:
Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.
Solve:
First let change all to improper fractions:
7/4 {already a improper fractions}
1 3/8 = 11/8
1 7/10 = 17/10
33/20 {already a improper fractions}
Thus we have:
7/4
11/8
17/10
33/20
According to the solving above ,
⇒ 70/40 , 55/40, 68/40, 66/40
⇒ 70/40 > 68/40 > 66/40 > 55/40
⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8
⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20
⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40
Since, it says given your answers as improper fractions in their simplest form:
Thus,
Largest Totals : 69/20
Smallest Totals : 121/40
RevyBreeze
Please help me with my math
Answers
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for z and x ~
[tex]\qquad \sf \dashrightarrow \: 82 + z = 180[/tex]
[ they form co-interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 82[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 98 \degree[/tex]
and
[tex]\qquad \sf \dashrightarrow \: z = (5x - 82)[/tex]
[ by Alternate interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: 98 = 5x - 82[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = 98 + 82[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 180 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 36 \degree[/tex]
Answer:
z = 98
x= 36
Step-by-step explanation:
z + 82 = 180 -> due to same side interior angles adding up to 180
z = 180 - 82
z = 98
z = 5x - 82 due to opposite interior angles being equal
98 = 5x - 82
98+82 = 5x - 82+82
180 = 5x
180/5 = 5x/5
36 = x
To check:
z = 5x - 82
(98) = 5(36) - 82
98 = 180 - 82
need help on this question
Answers
Answer:
3.5 and 3½
Step-by-step explanation:
Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.
Subtract (0.95x minus -0.04) minus (0.99x minus 0.13).
Answers
True or False: The minimum or maximum value on the graph of a quadratic function (parabola) is identified using the x-value of the vertex.
Answers
PLEASE HELP (not good at math)
Answers
Answer:
-7,-6,-5 are the values when x=0,1,2
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
y =x - 7
Substitute x = 0 and find the y-value
y = 0 - 7
y = -7
(0,-7)
Substitute x = 1,
y = 1 - 7
y = - 6
(1,-6)
Substitute x = 2,
y = 2 - 7
y = -5
(2,-5)
Solve x - 6 = 8.
O A. x = 14 and x = -2
B. x=-14 and x = 2
OC. x 14 and x = -14
-
OD. x = -14 and x = −2
Answers
Step-by-step explanation:
please mark me as brainlest
If the point (7, 3) is on the graph of an equation, which statement must be true?
Answers
Answer:
The values x = 7 and y = 3 make the equation true.
Step-by-step explanation:
hope this helps
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g if g(x) = f(x) − 11?
Answers
Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).
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What are the solutions to the quadratic equation below in factored form?
(2x - 1)(3x + 4) = 0
Ox= 1/12, X
Ox=
1
21
X =
34
0x = -1/², x=-1
Ox= = 1/², x = -1/3
2
Answers
Answer:
x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
(2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ( add 1 to both sides )
2x = 1 ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex]
and
3x + 4 = 0 ( subtract 4 from both sides )
3x = - 4 ( divide both sides by 3 )
x = - [tex]\frac{4}{3}[/tex]
So
2x-13=02x=13x=13/2And
3x+4=03x=-4x=-4/3Hellpppp Neeededd, How To Solve…
Quadratic Formula Equation To
x² +9x+8=0
Answers
Answer:
-8 or -1
Step-by-step explanation:
x*2+9x+8=0
(x+8)(x+1)=0
x+8=0 or x+1=0
x= -8 or x= -1
