Answer:
x=1+√13 or x=1−√13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
5x2−10x−21−39=39−39
5x2−10x−60=0
For this equation: a=5, b=-10, c=-60
5x2+−10x+−60=0
Step 2: Use quadratic formula with a=5, b=-10, c=-60.
x=
−b±√b2−4ac
2a
x=
−(−10)±√(−10)2−4(5)(−60)
2(5)
x=
10±√1300
10
x=1+√13 or x=1−√13
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form by subtracting 39 from both sides. We get:
5x^2 - 10x - 60 = 0
Reduce this by dividing all four terms by 5:
x^2 - 2x - 12 = 0
Use the quadratic equation to find the roots. The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:
(-2)^2 - 4(1)(-12) = -44 of which 4 is a perfect square factor and 11 is not.
Because the discriminant is negative, the given equation has two unequal, complex roots, which are:
-(-10) ± i√4√11
x = -----------------------
10
or x = 1 ± (1/5)√11
Linsay was going to visit her grandmother shop at the mall and then return home the route she took was in the shape of a triangle the distance between each patient visit it was 10 miles what type of triangle is formed by the route she traveled?
Answer:
an equilateral triangle
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
the perimeter of a triangle = sum of the side lengths
An equilateral triangle is a triangle with three equal sides. the distance travelled her all equal to 10 miles.
Maria is making a fruit punch. There are 15.75 ounces of orange juice in a container. Maria pours 2.25 ounces of cranberry juice into the container each second. How many ounces of fruit punch are in the container after 9 seconds?
Answer:
20.25 ounces
Step-by-step explanation:
We are given 2.25 ounces of cranberry poured into the container per second. We need to find is how much that is after 9 seconds. (Note: This is different from the 15.75 ounces of orange.) There are many ways to solve this question (e.g If 2.25 is 1, then multiply 2.25 and 9 = 20.25) Now to solve this let's set up fractions; let "x" be the variable;
[tex]\frac{1}{2.25}=\frac{9}{x}[/tex]
Apply fraction: if [tex]\frac{a}{b}=\frac{c}{d}\mathrm[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex] (meaning cross multiply)
[tex]1\cdot \:x=2.25\cdot \:9[/tex]
Simplify
Multiply by 1[tex]1 x = 2 . 2 5 \cdot 9 \\\\ x = 2 . 2 5 \cdot 9[/tex]
Multiply the numbers[tex]x = 2 . 2 5 \cdot 9\\\\x=20.25[/tex]
Therefore, there are 20.25 ounces of fruit pouch in the container after 9 seconds.
Answer:
36 oz
i dont know how to explain i just know
Determine if the statement "Opposite sides of a parallelogram are congruent." is always, sometimes, or never true. Always, sometimes, or never
Explanation:
This can be proven by dividing the parallelogram into two triangles, and then proving the triangles congruent (use ASA). Once you know the triangles are congruent, then the corresponding pieces must be congruent as well. The corresponding pieces being the same length tells us that the opposite sides of a parallelogram are always congruent.
What is the value of the expression?
2 + 4x32 - 7+1
-
this is timed..
Answer:
124
Step-by-step explanation:
Answer:
124
Step-by-step explanation:
2+(4)(32)−7+1
=2+128−7+1
=130−7+1
=123+1
=124
Which relationship is true for the triangle based on the Law of Sines?
Answer:
We know the angle given refers to the length of the opposite side.
Given angle = 82 and the opposite side = 34 so part of the relationship is
sin 82 / 34 = sin ( ) / ( )
We are also given one side = 27 and that side is opposite angle at C
so that part of the relationship is sin C / 27
sin 82 / 34 = sin C / 27
A true relationship based on the Law of Sines was found in the given triangle.
In the given triangle
∠A=82°
Length of side in front of ∠A = 34
Length of side in front of ∠C = 27
What is sine law?According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then
[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]
According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.
So, [tex]\frac{Sin82}{34} =\frac{SinC}{27}[/tex]
Hence, a true relationship based on the Law of Sines was found in the given triangle.
To get more about sine law visit:
https://brainly.com/question/24175301
Express the lcm of 50,18 and 32 in prime factors
Answer:
The least common multiple of 50, 18 and 32 is 7200.
Step-by-step explanation:
mark brainleist plz
Answer:
LCM = 7200
Step-by-step explanation:
LCM(18, 32, 50) =
LCM(LCM(18, 32), 50)
Working from the innermost parentheses outward:
LCM(18,32) = (18 × 32) / GCF(18,32)
= (18 × 32) / 2
= 576 / 2
= 288
LCM(288,50) = (288 × 50) / GCF(288,50)
= (288 × 50) / 2
= 14400 / 2
= 7200
Therefore,
LCM(18, 32, 50) = 7200
Giving brainlist to whoever answers
Answer:
C
Step-by-step explanation:
I hope it helps !!! :)
Answer:
i believe its b but i may be wrong i don know. hope this helped
Step-by-step explanation:
Plot two points that are 888 units from Point \blueD{B}Bstart color #11accd, B, end color #11accd and also share the same xxx-coordinate as Point \blueD{B}B
Question:
Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B
See attachment for grid
Answer:
See attachment for plot
Step-by-step explanation:
See comment for complete question
From the attached image, we have:
[tex]B = (-6,0)[/tex]
Required
2 points that are 8 units away and on the same x coordinate
Let the two points be [tex]C\ and\ D[/tex]
The first condition is that; C and D must be on the same x coordinate as B.
So, we have:
C = (-6,_)
D = (-6,_)
8 units from B implies that we add or subtract 8 from the y coordinate of B.
So, we have:
[tex]C = (-6,0+8)[/tex]
[tex]D = (-6,0-8)[/tex]
[tex]C= (-6,8)[/tex]
[tex]D= (-6,-8)[/tex]
what is the measure of angle one
Please help!! IM GIVING 100
POINTS
Answer:
the answer is 9.5
Step-by-step explanation:
Please answer, Thank you!
Answer:
61.5
Step-by-step explanation:
6.755-3311=3444
3444 divded by 56=61.5
Hhrlppp me helppp meeree
can someone answer both questions for me.
Answer:
For the First
a. True
b. false
c. True
d.false
Second
a. d and h or a and e
b. d and g or c and e
c.d and f or c and h
d. a anf d or g and f
PLZZZ HELP ILL GIVE BRAINLIEST
Which set of data could have been used to create the stem-and-leaf plot shown below?
#1. 6.3, 7.9, 9.5, 8.3, 8.1, 9.0, 6.7, 8.6, 9.1, 8.4, 8.1, 6.9, 8.3, 9.2:
#2. 64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
#3. 6.4, 7.9, 9.5, 8.3, 8.1, 9.0, 6.7, 8.6, 9.1, 8.4, 8.1, 6.9, 8.3, 9.2
#4. 63, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
Answer:
#2 64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
Step-by-step explanation:
A stem-and-leaf plot is a detailed graphical presentation of quantitative data on special kind of table that promotes visualizing the individual numbers in the data with the number at the stem being the first digits of the numbers in the data set while the leaf represent the last digit of each number in the data set
Following the above rule, the data in the given stem-and-leaf plot are;
64, 67, 69, 79, 81, 81, 83, 83, 84, 86, 90, 91, 92, 95
Therefore, the set of data that could have been used to create the stem-and-leaf plot is the data set that has all the numbers in the given stem-and-leaf plot which is the data set;
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92.
So far this semester, Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester. What was the average of his scores last semester?
Answer:
Step-by-step explanation:
So far this semester, What was the average of his scores last semester?
Let us represent last semester average score as x
We are told that:
Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester.
This is expressed Mathematically as:
63 = x - 10%
63 = x - 0.1
Collect like termd
x = 63 + 0.1
x = 63.1
Marking brainliest
Please help
Answer:
sociable I think........
If anyone can solve this quickly I will give brainly
Answer:
m∠BFE = 171º
BE = 219º
Step-by-step explanation:
∠BFE is supplementary to ∠EFC
m∠BFE = 180 - 9
m∠BFE = 171º
--------------------------
The angle between two chords is equal to half the sum of the intercepted arcs:
∠BFE = (DC + BE)2
171 = (123 + BE)/2
342 = 123 + BE
219º = BE
The ratio of small dogs to big dogs at the park is 1:3. Which does not represent this ratio?
A.3:9
B.9:27
C.2:4
D.30:90
FAST PLS 26 POINTS!
Answer:
C.2:4
Step-by-step explanation:
1*2=2
3*2=6
2:6=2:4
|
|
|
not true so it is C.
Find the median and mean of the data set below:
21,0,36,30,13,32
Answer:
Mean: 22
Median: 25.2
Step-by-step explanation:
The mean is the sum of all the numbers in a set divided by the number of terms in a set.
The median is the middle value of the numbers when the numbers in a set are arranged from least to greatest. If there is two middle numbers, the median is the average of the two numbers.
I hope this helps!
Find the volume of the prism. Write the answer as a fraction in simplest form. A rectangular prism with length one-half millimeter, width one-fourth millimeter, and height three-fifths millimeter. V = mm3
Answer:
[tex]V=0.09375\ mm^3[/tex]
Step-by-step explanation:
Given that,
The length of the rectangular prism = (1/2) mm
Width = (1/4) mm
Height = (3/4) mm
We need to find the volume of the prism. We know that the formula for the volume of a rectangular prism is given by :
V = lbh
Put all the values,
[tex]V=\dfrac{1}{2}\times \dfrac{1}{4}\times \dfrac{3}{4}\\\\V=0.09375\ mm^3[/tex]
So, the volume of the prism is equal to [tex]0.09375\ mm^3[/tex].
Sum of interior angles in a polygon is 3240. How many sides are in the polygon?
Answer:
20
Step-by-step explanation:
will name brainliest
Answer:
DE ≈ 6.97
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{4}{DE}[/tex] ( multiply both sides by DE )
DE × cos55° = 4 ( divide both sides by cos55° )
DE = [tex]\frac{4}{cos55}[/tex] ≈ 6.97 ( to the nearest hundredth )
Which of the following is a solution to the inequality below?
Answer:
B=3
Step-by-step explanation:
30/3=10
the inequality wanted some thing equal or grater so 30/3=10
Résoudre l'équation suivantes :
-9x+3=3x+9
Answer:
x = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
- 9x + 3 = 3x + 9 ( subtract 3x from both sides )
- 12x + 3 = 9 ( subtract 3 from both sides )
- 12x = 6 ( divide both sides by - 12 )
x = [tex]\frac{6}{-12}[/tex] = - [tex]\frac{1}{2}[/tex]
THE FIRSTT
ONE Plsss someone help me
Pls someone help me with thissss plsss
Answer:
y = 5x -3
Step-by-step explanation:
slope = 5
y int = -3
PLEASEEEE EHELP ILL MARK BRANILIZES
Answer:
Below
Step-by-step explanation:
First, find the difference. You would do
-19 - (-9) = -10
-9 - 1 = -10 and so on...
The difference is -10
Now you need to find what number will make 11 when added to -10.
11 - (-10) = 21
The equation:
y = -10x + 21
Jordon missed 49 on his multiple choice math final and earned a grade of 65%. How many total questions were on the final exam?
Answer:
The exam was out of 75.
Step-by-step explanation:
You know that he earned 65% so more than half his answers were correct.
Then, you would guess and check try 49/60, 49/70, and go up by 10s or 5s. You will then realize that 49÷75 equals 65.333. This rounds up to 65.
Determine the value of the variable that makes the equation true. 12-b=12.5
Answer:
B = -.5
Step-by-step explanation:
If B is negative is cancels out the prexisting negative making it positive.