Given:
The three sides of a triangle are:
[tex](x-8),(4x^2-3),(4x^2+4)[/tex]
The perimeter of the triangle 650 units.
To find:
The value of x.
Solution:
Perimeter of a triangle is the sum of all three sides of the triangle. So,
[tex]Perimeter=(x-8)+(4x^2-3)+(4x^2+4)[/tex]
[tex]Perimeter=8x^2+x-7[/tex]
The perimeter of the triangle 650 units.
[tex]8x^2+x-7=650[/tex]
[tex]8x^2+x-7-650=0[/tex]
[tex]8x^2+x-657=0[/tex]
Splitting the middle term, we get
[tex]8x^2+73x-72x-657=0[/tex]
[tex]x(8x+73)-9(8x+73)=0[/tex]
[tex](x-9)(8x+73)=0[/tex]
Using zero product property, we get
[tex](x-9)=0\text{ and }(8x+73)=0[/tex]
[tex]x=9\text{ and }x=-\dfrac{73}{8}[/tex]
For negative value of x, the side [tex](x-8)[/tex] will be negative, which is not possible because the side of a triangle cannot be negative.
Therefore, the only value of x is 9.
23% more than the number last week. This week, there were 7134 new cases. How many new cases were there last week?
Answer:
Number of cases sold last week= 31,017 cases
Step-by-step explanation:
Giving the following information:
Increase in sales= 23%
This week, there were 7,134 new cases.
If 7,134 cases represent the 23%, then we need to use the rule of three:
Number of cases sold last week= (7,134*100)/23
Number of cases sold last week= 31,017 cases
Can someone help me ASAP
Help!! Il give thanks
Answer:80
Step-by-step explanation:
All angles in a triangle add up to 180.
70+30= 100
180-100= 80
There you have it
What shapes are quadrilateral
A quadrilateral is a four-sided two-dimensional shape. The following 2D shapes are all quadrilaterals: square, rectangle, rhombus, trapezium, parallelogram and kite.
For any number n>1, is
|(5 – 3i)^n|
A. greater than 1?
B. less than 1?
C. equal to 1?
Answer:
A.greater than 1
Step-by-step explanation:
1. take away all the symbols
2. 5-3
3.5-3=2
4. is 2 greater than 1
5. yes
6. answer is A.
Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit.
Answer:
Step-by-step explanation:
As you can see from the attached picture below, the only figure that is equal to 5 whole units would be the final triangle. That is because it has 2 whole units in the middle, two half units in the top which equal 1 whole unit. And 2 units in each side corner which when combined would equal 2 whole units making it a total of 5. The rest of the shapes either hold more than 5 or less than 5 units. In the picture below, the top 3 shapes hold more than 5 units while the bottom two triangles hold less than 5.
solve
x+y=5 and 3x-5y=7
Answer:
X=4, y=1
Step-by-step explanation:
help plsssss need help will give brainliest
Answer:
[tex]\boxed {\boxed {\sf 22a-14b}}[/tex]
Step-by-step explanation:
We are given this expression:
[tex]17a-10b+5a-4b[/tex]
We are asked to simplify. For this expression, we will need to combine like terms. Like terms are terms with the same variable. In this expression, there are 2 variables: a and b. Use the commutative property of addition to move the like terms together.
[tex](17a+5a)+(-10b+ -4b)[/tex]
Add inside the parentheses.
[tex]22a+ (-10b+-4b)[/tex]
A positive next to a negative, like +- becomes a negative.
[tex]22a+ (-10b-4b)[/tex]
[tex]22a+ -14b \\22a-14b[/tex]
The expression 17a-10b+5a-4b is equal to 22a-14b.
Brainliest and 15 points if you get this problem right! NO LINKS= No BRAINLIEST
Answer:
1. Movie B
2. Movie C
3. 40 years old
Step-by-step explanation:
Answer:
Part 1 = Movie B.
Step-by-step explanation:
Part 2. Movie C
Part 3. 40
19.3.5 Quiz: Frequency Tables
Question 2 of 5
Nurse Jackson examines immunization records for this past winter at the
school where she works.
Got flu Didn't get flu Total
Vaccinated
25
150
175
Not vaccinated 60
65
125
Total
85
215
300
How many students were not vaccinated and did not get the flu?
A. 150
B. 60
C. 65
D. 125
Answer:
The answer is C. 65
Step-by-step explanation:
You can really just do this visually ngl
I will delete your answer if wrong.
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D
Step-by-step explanation:
If you think of the equation as an equation for a line.
=+
y
=
m
x
+
b
where
=5/9(−32)
C
=
5
/
9
(
F
−
32
)
or
=5/9−5/9(32)
C
=
5
/
9
F
−
5
/
9
(
32
)
you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.
This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D.
Answer:
D
Step-by-step explanation:
equation is C= 5/9(F-32)
Need help with math!!!!!!
Answer:
3
Step-by-step explanation:
the third option
please help with this question?!?
Answer:
416 mi
Step-by-step explanation:
In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.
Remember to find the area it is length x width
9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 41610x 3 + 5y 2 + 2xy – 4y 2 + 4xy – x 3
simplify
Answer:
6 x y + 27 x + 2 y
Step-by-step explanation:
Answer:
9x^3 + y^2 + 6xy
Step-by-step explanation:
10x^3 + 5y^2 + 2xy - 4y^2 + 4xy - x^3
9x^3 + y^2 + 6xy
What’s the answer ? Please help
Answer:
C.
Step-by-step explanation:
What is the value of -124/?
Answer:
I think the value of -124 is just 124
Just remove the negative!!
Step-by-step explanation:
Hope this helped!!!
Solve by grouping 8x^3+3+6x^2+4x
Answer:
Step-by-step explanation:
Answer:
it cant be simplified but this is what i got
Step-by-step explanation:
sorry if its incorrect :')))))))
The ratio of dogs to cats in the neighborhood was 3 to 7. If a total of 210 dogs and cats were in the neighborhood, how many cats were there? Complete the statement by providing the correct response in number form.
Answer:
147 cats
Step-by-step explanation
There are 3 dogs/ 7 cats
3x + 7x = 210
10x = 210
210 ÷ 10 = 21
Therefore,
x = 21.
dogs would be 3x (3 x 21) = 63
cats would be 7x (7 x 21) = 147
If x - y=5, x + y = 59, and x > y, what is the value of xy?
Answer:
864
Step-by-step explanation:
∵X-Y=5 and.
∵X+Y=59 add the two equations
∴2X=64
∴X=32 (substitute in any equation)
∴32 - Y=5
∴Y = 27
∴ So . X×Y=32 × 27=864
Answer:
x=32, y=27
Step-by-step explanation:
32-27=5
32+27=59
32>27
32x27=864
Find x in the following ,giving reasons
Answer:
x = 22.5
Step-by-step explanation:
→ Remember how many degrees the point to a radius is
90°
→ Set up an equation
x + 3x = 90
→ Simplify
4x = 90
→ Divide both sides by 4
x = 22.5
Figure 1 is dilated to get Figure 2.
What is the scale factor?
Answer:
2/3
Step-by-step explanation:
6/9 in simplest form is 2/3. That's the scale factor :)
PLEASE HELP THIS IS URGENT>>>>NO LINKS!!
Answer:
i believe that the answer is c
To solve for n, I should do what to both sides of the equation? n - 8 = 13
A. Add 8 to both sides of the equation.
B. Subtract 8 from both sides of the equation.
C. Subtract 13 from both sides of the equation.
D. Add 13 to both sides of the equation.
Which measurement is closest to the area of the circle in square feet?
Answer:
314
Step-by-step explanation:
search "what is the area of a circle if the radius is 10"
Is this a function?
A) No
B) yes
Answer:a
Step-by-step explanation:
no
(dont mind this wreath habit tdd fi gcs rgb yd UK FCC hash if sgf j.g ch hff vou j.g fyi utf fi oh fry it ey HD st ugh)
3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?
Mary bought a purse which was marked at 25% off. The original price of the purse was
$45.00. If the sales tax is 8% and applied after the discount, how much did Mary pay for the purse?
Answer: $36.45
Step-by-step explanation:
45(.25)=11.25
45-11.25=33.75
33.75(.08)=2.70
33.75+2.70=36.45
PLEASE HELP ASAP WILL GIVE BRAINLEAST TO CORRECT ANSWER
Answer:
B Increase: 1, 6
B Decrease: 2, 5
Step-by-step explanation:
Brainliest plz ;)
Need help ASAP please anyone
Answer:
Step-by-step explanation:
hi guys this one is one whole question it just couldent fit please help
Answer:
Pentagon and rhombus
Step-by-step explanation:
