Find the value for x. Round your answer to the nearest hundredth. Area of the triangle = 8 ft^2
Answers
Answer:
x = 3.51
Step-by-step explanation:
Since, formula to determine the area f a triangle is,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
8 = [tex]\frac{1}{2}(x + 1)(3x - 7)[/tex]
16 = x(3x - 7) + 1(3x - 7)
16 = 3x² - 7x + 3x - 7
16 = 3x² - 4x - 7
0 = 3x² - 4x - 23
3x²- 4x - 23 = 0
By quadratic formula,
x = [tex]\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}[/tex]
x = [tex]\frac{4\pm \sqrt{(-4)^{2}-4(3)(-23)}}{2(3)}[/tex]
x = [tex]\frac{4\pm \sqrt{292}}{6}[/tex]
x = [tex]\frac{4\pm 17.09}{6}[/tex]
x = 3.51, -2.18
But the length of sides can't be negative.
Therefore, x = 3.51 will be the answer.
Related Questions
Tenemos un rectángulo cuya área es (15n + 9nx) cm 2 y su base mide (3n) cm. Existe también un cuadrado con la misma altura del rectángulo, tal que si al área del cuadrado se le disminuye (9x 2 ) cm 2 , ésta medirá 1825 cm 2 . ¿Cuánto mide el área original del cuadrado?
Answers
Answer:
El área original del cuadrado es 34225 cm²
Step-by-step explanation:
Los parámetros dados son;
El área del rectángulo = (15·n + 9·n·x) cm²
La longitud de la base del rectángulo = (3·n) cm
La altura del cuadrado = La altura del rectángulo
El área original del cuadrado - 9·x² cm² = 1825 cm²
La altura del rectángulo = (El área del rectángulo) / (La longitud de la base del rectángulo)
∴ La altura del rectángulo = (15·n + 9·n·x) / (3·n) = 5 + 3·x
La altura del rectángulo = 5 + 3 · x = La altura del cuadrado
El área del cuadrado = Lado × Lado = Altura × Altura = (5 + 3·x) × (5 + 3·x)
∴ El área del cuadrado = (5 + 3·x) × (5 + 3·x) = 9·x² + 30·x + 25
Del área original del cuadrado - 9·x² cm² = 1825 cm², tenemos;
9·x² + 30·x + 25 - 9·x² = 1825
30·x + 25 = 1825
30·x = 1825 - 25 = 1800
x = 1800/30 = 60
x = 60
El área original del cuadrado - 9·x² cm² = 1825 cm²
El área original del cuadrado = 1825 cm² + 9·x² cm² = 1825 cm² + 9 × 60² cm² = 34225 cm²
El área original del cuadrado también se puede encontrar de la siguiente manera;
El área original del cuadrado = (5 + 3 × 60) × (5 + 3 × 60) = 34225 cm²
El área original del cuadrado = 34225 cm².
Kelly has $5.38 in her account before receiving her $832.19
paycheck. She writes checks for rent and car insurance in
the amounts of $350.82 and $72.38. She also withdraws
$30. What is her current balance?
Answers
If she is widthdrawling and paying with money that she doesn’t have, before she puts her paycheck in, then she is in debt of $447.82 which makes it negative.
A baker makes 9 peach pies for every 3 apple pies he makes. Last week the baker made 6 apple pies. How many peach pies did he make?
Answers
Answer:
18 peach pies
Step-by-step explanation:
9:3 -> that's 3 peach pies for every apple pie made
Which means that if 6 apple pies are made (6x3) 18 peach pies are made
Answer:
18 peach pies
Step-by-step explanation:
6 divided by 3 which is 2
then do 2 times 9
and you get 18
Scroll fast!
Will give brainliest if correct.
Answers
Answer:
The x-intercept is where the line crosses the x-axis, and the y-intercept is where it crosses the y-axis. It crosses the x-axis at (-1, 0), and the y-axis at (0, -1)
Solve the inequalities 3x2 – 11x > 20
Answers
Answer:
x=-10
Step-by-step explanation:
3x · 3x=9x-11x>20
-2x>20
÷-2 -2
___________-
x=-10
Hope this helps ∞
х = 6y + 3
x+2y = 5
What’s the first step?
Answers
Answer:
subtract 2y
Step-by-step explanation:
x= 5-2y or x= -2y+5
Solve the equation
6-x-x = 18
a: -6
b: 6
c: 9
d: -9
Answers
Answer:
x = -6
I hope this helps!
Write an equation and solve for the value of x. Show your work.
Answers
Answer:
x=15
w=28
y=113
x=39
Step-by-step explanation:
I added all expressions together to equal 180.
I combined like terms and found x which is 15.
Putting in x in all expressions, I found the angle measures for w,y,x.
hope this helps!
Identify the transformation(s):
Answers
Question 1 (1 point)
The equation to find the percent of change is the difference divided by the original amount.
True
Or False
Answers
At a school, 4 out of every 7
girls play sports. There are 105
girls in the school, how many of
them play sports?
Answers
explanation:you need to find 4/7 of 105. 1/7(105/7) =15
15x4=60
what is the equation of the line?
Answers
Answer:
y=-3x+4
Step-by-step explanation:
the equation for a line: y=mx+b
m stands for slope
b stands for the y-intercept
the slope is -3 because
1. the line is negative so it has a negative sign
2. from points (1,1) and (0,4) you go up 3 and over 1
m/slope= rise over run or rise/run
the y-intercept is 4 because
1. when the line reaches 0 on the x-axis that's where you find the intercept
2. you can use the graph and go to y-axis line and see that is goes through the point (0,4)
Hope this helps :D
To solve x^2+ 5x= 0, Mai rewrote the equation as x(x+5) = 0. Explain how rewriting this equation in factored form
enables Mai to solve the equation.
Answers
Answer:
x=0
Step-by-step explanation:
i took the test tttt
When Mai rewrites x² + 5 · x = 0 as x · (x + 5) = 0, she can find two values of x such that the equation is solved, that is, the second order polynomial becomes zero.
How to find the roots of a polynomial by factoring a second order polynomial
Factoring the polynomial is derived from the algebraic theorem that states that if x · y = 0, then x = 0 or y = 0. In addition, the polynomial is factored form consists in the following product of binomials:
[tex]\prod \limits_{i=1}^{n} (x-r_{i})=0[/tex] (1)
Where [tex]r_{i}[/tex] is the i-th root of the polynomial.
Hence, when Mai rewrites x² + 5 · x = 0 as x · (x + 5) = 0, she can find two values of x such that the equation is solved, that is, the second order polynomial becomes zero.
To learn more on polynomials, we kindly invite to check this: https://brainly.com/question/11536910
#SPJ2
can someone please help me with this .. will mark brainliest !
Answers
Answer:
Zero
Step-by-step explanation:
Undefined is a Vertical Line, remember the 2 U's Undefined is Up and Down. Zero, is straight across.
58.5 divided by 1 1/2
Answers
Answer:
the answer should be 39Step-by-step explanation:
I need help pleaseeee
Answers
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The bakers at Healthy Bakery can make 350 bagels in 5 hours. How many bagels can they bake in 20 hours? What was that rate per hour? SHOW WORK, ITS RATIOS!!
Answers
Step-by-step explanation:
It is given that,
The bakers at Healthy Bakery can make 350 bagels in 5 hours.
We need to find how many bagels can they bake in 20 hours.
In 5 hour = 350 bagel
In 1 hour = 70 bagel
To find no of bagel in 20 hours, multiply 20 by 70 as follows :
In 20 hours = 70×20
= 1400 bagels
So, 1400 bagels can they bake in 20 hours. Also, the rate per hour is 70 bagel/hour.
Giving brainliest to first correct answer!!
Two trapezoid-shaped tabletops are congruent to each other.
trapezoid FGHI = trapezoid WXYZ
Which side of trapezoid WXYZ must be congruent to GH?
A) XY
B) WX
C) YZ
D) WZ
Answers
Answer:
A.XY is the correct answer of this exercise
Solve for x
x(6x+1)= 2
Answers
Answer:
x=1/2,-2/3
Step-by-step explanation:
Answer:
- 1/2 I would show my work but its too long sry
Step-by-step explanation:
What scale factor did Dionne use?
Answers
Answer:
A
Step-by-step explanation:
Please help giving lots of points!! Y varies directly with x. If
y=20.07 when x= 9, then what is y when
x = 14?
Answers
Im gonna answer this in calculator form. It might be non-calculator but if y = 20.07 when x = 9, than u can divide 9 by 9 to get 1. 1 x 14 = 14. Now vise versa. 20.07 / 9 = 2.23. 2.23 x 14 = 31.22
= 31.22.
Thanks please heart because im depressed. bye
What is the volume of this sphere?
Use 3.14 for pi and round to the nearest hundredth when
necessary.
Answers
Answer:
I need to know the radius or diameter.
Step-by-step explanation:
Which graph does NOT represent a function?
Please I need an answer
Answers
I really need help with the bottom half only
Answers
is {(1,9), (-3,4), (1, -7)} a function?
Answers
f(x) = 7x - 5 find f(x) when x = 5
Answers
Answer:
f(5) = 30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function notationStep-by-step explanation:
Step 1: Define
f(x) = 7x - 5
x = 5
Step 2: Evaluate
Substitute: f(5) = 7(5) - 5Multiply: f(5) = 35 - 5Subtract: f(5) = 30There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys
Answers
Answer:
16
Step-by-step explanation:
Can somone pls dont this im not good at matching things this is due at 4:00 :(:(:(
BRAINIEST:)
Answers
Eli needs pieces of ribbon cut into strips that are 2 1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression could be one of the steps in determining how many strips can be cut?
Answers
Hi there! 2 ½ is equivalent to 2.5 and 7 ½ is equivalent to 7.5. An expression that can be used to find out how many strips can be cut is this:
2.5x = 7.5
This is because the length of the ribbon needed to be cut is 2.5 ft long and we are looking for how many of that length could be cut out of a roll of ribbon that is 7.5ft long. All you have to do for this is divide both sides by 2.5 to isolate the variable. 7.5/2.5 is 3. x = 3. Eli can cut 3 strips of 2½ ft long ribbon.
yard
1
Rachel is making a bracelet and a necklace for her friend. She needs
3
5
of wire to make a bracelet and yard of wire to make a necklace. She
6
estimates that she will need about yards of wire.
9
Which best explains her estimate?
