Answers
Answer:
Step-by-step explanation:
area = ½×base×height
21 = ½(x+1)x
42 = (x+1)x
x² + x - 42 = 0
(x+7)(x-6) = 0
x = -7, 6
-7 is an extraneous solution, so x = 6
A triangle is a three-edged polygon with three vertices. The value of x is 6.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
The area of the triangle is half the product of the base of the triangle and the height of the triangle.
Given that base of the triangle is x+1, while the height of the triangle is x. Also, the area of the triangle is 21 units².
Area of triangle = (1/2) × height of the triangle × length of the base
21 = (1/2) × x × (x+1)
21 = (1/2)(x² + x)
21 × 2 = x² + x
42 = x² + x
x² + x - 42 = 0
x² + 7x - 6x - 42 = 0
x(x + 7) - 6(x + 7) = 0
(x + 7)(x - 6) = 0
x = -7, 6
Now, since the value of x can not be negative. Therefore, the value of x is 6.
Hence, the value of x is 6.
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Related Questions
Is the number below
rational or irrational?
Square root of V16
Answers
i have to type more to post this
A. Image
B. Rotation
C. Reflection
D. Transformation
Answers
It was rotated 90°, it is an image, and a rotation is a transformation.
What is the slope of the line shown below?
(3,9)
(-4, 2)
A. 1
B. -6
C. 6
D. -1
Answers
Answer:
a. 1
Step-by-step explanation:
2-9/-4-3
-7/-4-3
-7/-7
1
Some help pls don't answer if you don't know also I’ll give brainliest.
Answers
Answer:
Step-by-step explanation:
-44
Answer:
-44
Step-by-step explanation:
8 to the 2nd power = 64
9 x 3 = 27
27 - 64 = -37
-37 - 7 = -44
Hope I helped :)
how can you tell if a linear equation is proportional?
Answers
Answer:
If the line goes through the origin, (0,0), that means the linear equation is proportional, if it doesn't go through the origin, the equation isn't proportional.
You can also tell if a linear equation is proportional if the equation has an constant after the x (for example y=2x+6)
helpppppppppppp plzzzzzzzz
Answers
Its been awhile but i think its y=0x+5
Help meeeeeee!!!!!! Will mark you the brainest answer
Answers
Answer:
130
Step-by-step explanation:
Answer:
it's 130 degres
Step-by-step explanation:
If you can buy 5 packs of gum for $4.99 how much does 1 pack of gum cost? (1 mark)
Answers
Step-by-step explanation:
5 packs = $4.99 => $5
1 packs = $5 ÷ 5
= $1
So, much on 1 packs of gum cost is $1
Sorry, if i wrong. Im newbie in USA server
Answer:
divide 4.99 by 5 and that should be your answer
Step-by-step explanation:
In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits
populated Central Park 21 years later?
Answers
Answer:
918
Step-by-step explanation:
Given data
Initila population= 85
Rate = 12%
TIme= 21 years
Let us apply the compounding expression
A=P(1+r)^t
substitute
A= 85(1+0.12)^21
A=85(1.12)^21
A=85*10.80
A= 918
Hence the approximate Rabbit population will be 918
whoever answers this question first gets breainly
Answers
Your welcome :)
Answer: 13,500
Step-by-step explanation:
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $15 and a pie costs $13. In one
day, the store sold 9 baked goods for a total of $121. How many cakes did they sell?
a. 8 cakes
c. 7 cakes
b. 2 cakes
d. 4 cakes
Answers
Answer:
a. 8
Step-by-step explanation: Out of 12 baked goods sold , let the number of cakes sold, be x in number and pies sold were 12 − x in number. Total sell was $ 144 , 1 cake costs $ 14 and 1 pie costs, $ 8 ∴ 14 ⋅ x + ( 12 − x ) ⋅ 8 = 144 or 14 x − 8 x = 144 − 96 or 6 x = 48 ∴ x = 8
Help i need help solving this!
Answers
Answer:
y = 4x
Step-by-step explanation:
Note that each of the output values is 4 times the corresponding input value.
y = 4x ← equation describing the function
Find all solutions to the equation.
cos^2x + 2 cos x + 1 = 0
Answers
Answer:
take a picture of the problem
Help? which one should I choose
Answers
Answer:
true
Step-by-step explanation:
For 3 sides to be able to form a triangle, we need to check that the 2 shorter sides can "touch" when "stemming" out of the long side.
The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.
Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.
pls I need it asap it's due in 5 minutes. with steps pls
Answers
Answer:
Solution → (2, -1)
Step-by-step explanation:
Input-output values table for equation (1),
2x + y = 3
x -1 0 1 2
y 5 3 1 -1
Input-output values table for equation (2),
y = x - 3
x -1 0 1 2
y -4 -3 -2 -1
Now plot these points to get the graphs of both the equations.
Common point (2, -1) of both the lines will be the solution of the system of equations.
How much interest will be earned in a bank account with £3850 that pays 1.3% interest each year how much will there be after 6 years
Answers
Answer:
Results are below
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £3,850
Number of periods (n)= 6 years
Interst rate (i)= 1.3% = 0.013
First, we will calculate the future value (FV), by using the following formula:
FV= PV*(1+i)^n
FV= 3,850*(1.013^6)
FV= £4,160.23
Now, by difference, the interest earned:
Interest earned= 4,160.23 - 3,850= £310.23
Which expression describes the nth term of the arithmetic sequence 5, 9, 13, 17, ...?
Answers
Answer:
4n + 1
Step-by-step explanation:
The first term is 5.
Each new term is 4 plus the previous term.
Term 1 = 5
Term 2 = 5 + 4
Term 3 = 5 + 4 + 4
Term 4 = 5 + 4 + 4 + 4
Notice that for each new term, you add one 4 less than the number of the term.
In term 1, you have 5 and no 4 added.
In term 2, you add one 4 to the 5.
In term 3, you add two 4's to the 5.
In term n, you add (n - 1) 4's to the 5.
Term n = 5 + (n - 1)4
Term n = 5 + 4n - 4
Term n = 4n + 1
Answer: 4n + 1
Given the triangles are similar, find y.
Answers
Answer:
y = 8
Step-by-step explanation:
6 ÷ 4 = 1.5
(y + 4) ÷ y = 1.5
y + 4 = 1.5 y
0.5 y = 4
y = 8
Marshall bought 20 refills and sold them at $ 4 each. If it had cost $ 50 for the refills, what was his profit or loss percent
Answers
Answer:
$30 or 60%
Step-by-step explanation:
20 ×4= 80
80-50= 30
30/50= .6 , or 60%
:))))))))))))))
Which of the following ordered pairs is a solution to the equation 2x+6y=6? Select all that apply.
elect all that apply:
(−6,3)
(10,4)
(−3,2)
(12,12)
(−3,−4)
Answers
Solve the simultaneous equation 3x+2y=4 4x+5y=10
Answers
Answer:
2x=4-2y
x=(4-2y)/3
4x+5y=10
4[(4-2y)/3]+5y=10
(16-8y)/3+5y=10
(16-8y+15y)=10*3
7y=30-16=14
y=2
Step-by-step explanation:
The solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.
To solve the simultaneous equations:
Equation 1: 3x + 2y = 4
Equation 2: 4x + 5y = 10
We can solve this system of equations using the method of substitution or elimination.
Step 1: Multiply Equation 1 by 4 and Equation 2 by 3 to make the coefficients of x in both equations the same:
Equation 1 (multiplied by 4): 12x + 8y = 16
Equation 2 (multiplied by 3): 12x + 15y = 30
Step 2: Subtract Equation 1 from Equation 2 to eliminate x:
(12x + 15y) - (12x + 8y) = 30 - 16
12x - 12x + 15y - 8y = 14
7y = 14
y = 14 / 7
y = 2
Step 3: Substitute the value of y into either equation to solve for x. Let's substitute it into Equation 1:
3x + 2(2) = 4
3x + 4 = 4
3x = 4 - 4
3x = 0
x = 0 / 3
x = 0
Therefore, the solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.
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2.42*3.20 step by step
Answers
Answer:
7.744
Step-by-step explanation:
3.20=3.2
you can multiply just 242 and 32 then pop in the decimal point later
242*32=242*30 + 242*2
242*3*10=726*10=7260
242*2=484
7260+484=7744
2*3 (rounded version of numbers) is 6
so the answer after putting decimal point should be around 6
77.44 is way too hight
7.744 is decently close to 6
so the answer is 7.744
An initial population of 490 quail increases at an annual rate of 6%. Write an exponential
function to model the quail population. What will the approximate population be after 5 years?
Answers
Answer:
656
Step-by-step explanation:
Given data
Initila population= 490
Rate = 6%
TIme= 5 years
Let us apply the compounding expression
A=P(1+r)^t
substitute
A= 490(1+0.06)^5
A=490(1.06)^5
A=490*1.338
A= 655.62
Hence the approximate Quail population will be 656
Help on Part A and Part B ASAP pls!!
Answers
Answer:
0.625 feet
5feet/8parts
Answer:
Step-by-step explanation:
Round the nearest indicated place.
1.0.326 (Hundredths)
2. 3.6793 (thousandths)
3. 63.438 (hundredths)
4. 7.4684 (thousandths)
5. 0.8931 (tenths)
Answers
Answer:
1 0.33
2 3.679
3. 63.44
4 7.468
5 0.9
Answer:
1. 0.33
2. 3.679
3. 63.44
4. 7.468
5. 0.9
How can you revise a rough draft to create a clearer focus in the personal narrative? Choose the correct answer.
O remove any unnecessary information
O brainstorm additional topics
O create a digital story (publish)
Answers
Answer:
remove any unnecessary information
Step-by-step explanation:
Round 8,651 to the nearest thousand
Answers
Nearest Thousand is: 8,651, so rounding to it would be 9,000.
Answer:
9,000 is the nearest thousand
Simplify the following expression:
3i(4-i) + i(6+2i)
A. 18-i
B. i +18
C. 13 + i
D. i-13
Answers
So it is B. i+18i
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
are you ok?
Step-by-step explanation:
why did you need help lol
Answer:
onnnnnnnnnmmmmnnnnnnnnnnnnnnnnnnn?
1.86 x 10 and 1.86 x 100. I need the solving steps please
Answers
Answer: I don't know if this would be helpful, but in this case, you can really just move the decimal point to the right the amount of times you see a zero in what you are multiplying it by. 1.86 x 10 = 18.6 , 1.86 x 100 = 186
Step-by-step explanation:
Sorry if its not helpful im trying..