Answer:
Step-by-step explanation:
y=6x2+19x-7
factorise...
you will get,
y= 6x2-2x+21x-7
y=2x(3x-1) + 7(3x-1)
y=(2x+7), (3x-1)
hence zeroes are,
y=(-7/2), y=1/3
pls mark brainliest if it helps
True or false. Intersecting chords form a pair of congruent, vertical angles.
Answer:
True
Step-by-step explanation:
A chord of a circle is a straight line segment whose endpoints both lie on the circle.
Vertical Angles are the angles opposite each other when two lines cross.
Any intersecting segments (chords or not) form a pair of congruent, vertical angles.
Find the fifth term of the geometric sequence with first term 2 and second term 1/4.
Answer:
0.1875
Step-by-step explanation:
The geometric sequence is going down by 3/4 so just continue it on down
Hope this helps, though put some thought into it
What is the equation of the circle graphed on the coordinate plane? answers: 1) (x – 2)2 + (y + 1)2 = 4 2) (x + 1)2 + (y – 2)2 = 16 3) (x – 2)2 + (y + 1)2 = 16 4) (x + 2)2 + (y – 1)2 = 16
Answer:
3) (x – 2)^2 + (y + 1)^2 = 16
Step-by-step explanation:
Equation of circle:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center, and r is the radius.
From the graph, we see the center is at (2, -1), so h = 2, and h = -1.
The radius is 4, so r = 4.
The equation is
(x - 2)^2 + (h - (-1))^2 = 4^2
(x - 2)^2 + (h + 1)^2 = 16
What is the name of the shape graphed by the function r = 1 + sine ?
A. Cardioid
B. Circle
C. Limaçon
D. Line
* ANSWER PLS TY!! * Find the surface area of this cone.
Answer:
[tex]200 \: \pi[/tex]Step-by-step explanation:
Given,
R = 8 m
H = 15 m
Slant height :
[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]
[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]
[tex] = \sqrt{64 + 225} [/tex]
[tex] = \sqrt{289} [/tex]
[tex] = \sqrt{ {(17)}^{2} } [/tex]
[tex] = 17 \: m[/tex]
Now, Finding the surface area of the cone:
[tex]\pi \: r(r + s)[/tex]
Plugging the values:
[tex] = \pi \: \times 8(8 + 17)[/tex]
[tex] = 8\pi \: \times 25[/tex]
[tex] = 200 \: \pi[/tex]
Hope this helps...
Good luck on your assignment...
Arman, Babken, and Cecilia decided to compete in a 100m run. When Arman crossed the finish line, Babken was 10m behind him. When Babken crossed the finish line, Cecilia was 10m behind him. How far was Cecilia behind Arman when he crossed the finish line? P.S. The answer is not 20.
Answer:
The answer is 19
Step-by-step explanation:
I am not good at explainig at all and im not sure how to explain but I had this question
Cecilia is 19 m behind the Arman.
Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.
percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.
Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.
As arman crossed finish line Cecilia is at = 90% of run covered by babken,
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19
Thus, Cecilia is 19 m behind the Arman.
Learn more about percentage here:
brainly.com/question/13450942
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There are books in a library, there are 4 different kinds of books. Science books make up 3/4 of art books. Comic books are 1/4 of the total books. History books are 1/5 of the total books. History books are 80 fewer than art books. How many books are in total?
Answer:
The total number of books is 1020.
Step-by-step explanation:
Denote the books by their first letter.
From the provided information:
[tex]S=\frac{3}{4}A[/tex] [tex]C=\frac{1}{4}T[/tex] [tex]H=\frac{1}{5}T[/tex] [tex]H = A-80[/tex]Compute the expression of T as follows:
[tex]H = A-80\\\\\frac{1}{5}T=A-80\\\\T=5A-400...(i)[/tex]
Compute the value of C in terms of A:
[tex]C=\frac{1}{4}T\\\\C=\frac{1}{4}\times {5A-400}\\\\C=\frac{5}{4}A-100...(ii)[/tex]
Compute the value of A as follows:
Use expressions (i) and (ii):
[tex]T=S+C+H+A\\\\5A-400=\frac{3}{4}A+\frac{5}{4}A-100+A-80+A\\\\5A-400=4A-180\\\\A=220[/tex]
Compute the value of T as follows:
[tex]T=5A-80\\\\T=(5\times 220)-80\\\\T=1100-80\\\\T=1020[/tex]
Thus, the total number of books is 1020.
What is the length of AC?
3 ft
4 ft
9 ft
18 ft
Which letter comes next? F H K N Z ? Choose from: L M T Y
Answer:
t
Step-by-step explanation:
The letter that comes next in the given sequence is K.
The given sequence is F H K N Z.
We need to find which letter comes next in the given sequence.
What is the pattern followed in the given sequence?The pattern followed by the given sequence is they are letters of sounding board consonants.
Therefore, the letter that comes next in the given sequence is K.
To learn more about the sequence visit:
https://brainly.com/question/21961097.
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When Helen jogs, every 20 minutes she checks the total distance she traversed. One day, the first time she checked, Helen had jogged a distance of 2.5 miles, the second time she checked, she had jogged a total distance of 4.8 miles, and the third and final time that she checked, Helen found out that she jogged a total distance of 6.8 miles. What is the difference between her average speeds, in miles per hour, during the first 20 minutes of jogging and the last 20 minutes of jogging?
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. How much money was invested at 3%? $2,000 $3,000 $4,000
Answer:
money invested at 3% is $4000
Step-by-step explanation:
let the money invested in 3% account be x
then money invested in 5% account = 6000 - x
we know interest = p*r*t/100
p is the principle amount invested
here t = 1 year
interest on 3% money
interest= x*3*1/100 = 3x/100
interest on 5% money
interest= (6000-x)*5*1/100
Total interest earned on both the account
3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100
given that total interest earned = $220
thus
( 30000-2x)/100 = 220
=> 30000-2x = 220*100= 22,000
=> -2x = 22,000- 30,000
=> x = -8000/-2 = 4000
Thus, money invested at 3% = x = $4000
Answer:)
$4000
Step-by-step explanation:
write the equation of a line that is perpendicular to x=3 and that passes through the point (0 -4) will mark brainliest asap!!!
Answer:
y = -4
Step-by-step explanation:
x = 3 is a vertical line.
The perpendicular line passes through (0, -4) (x, y)
y = -4
The line is perpendicular, so the line should be also horizontal.
Answer:
y = -4
Step-by-step explanation:
The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).
Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.
PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?
It will be a negative.
for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11
-2(2) + 1 = -3
but that's only 8 apart, so it'd be higher.
-4(2) + 1 = -7
-4(8) + 5 = -27
BOOM
Tadaaaa,
You probably thought positive, but sometimes it's negative, you know what I mean?
Write a math express for each verbal expression.
1.) The sum of 12 and x
2.) The product of 25 and p
3.) 24 increased by twice a number z
4.) The quotient of a number x and 4
5.) 6 less than a number x
6.) One-half of n squared
Answer:
1.) The sum of 12 and x 12 + x or x + 12
2.) The product of 25 and p 25 × p or 25p
3.) 24 increased by twice a number z 24 + 2z or 2z + 24
4.) The quotient of a number x and 4 x ÷ 4 . or x/4
5.) 6 less than a number x x - 6
6.) One-half of n squared n² ÷ 2 or n²/2
Step-by-step explanation: In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math. As you advance into Algebra, the ÷ and × are rarely used in favor of / or fraction form like [tex]\frac{x}{4}[/tex] and [tex]\frac{x^{2} }{2}[/tex] for division. Parentheses replace × for multiplication, for example (25)(p)=25p to avoid confusion with x, commonly used as an unknown or variable.
Describe the cross-section of the rectangular prism
rectangle
trapezoid
triangle
hexagon
Answer:
The cross-section of the rectangular prism is a:
rectangleStep-by-step explanation:
When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
y > -2x + 10
y > 1/2x - 2
Choices:
E
K
B
D
Answer:
Option C, i.e., point B.
Step-by-step explanation:
The given system of inequalities is
[tex]y>-2x+10[/tex] ...(1)
[tex]y>\dfrac{1}{2}x-2[/tex] ...(2)
If a point is a solution of given system of inequalities, then the both inequalities must be satisfy by the point.
From the given graph it is clear that coordinates of point E are (4,-2).
Put x=4 and y=-2 in (1).
[tex]-2>-2(4)+10\Rightarrow -2>2[/tex] False.
From the given graph it is clear that coordinates of point K are (2,3).
Put x=2 and y=3 in (1).
[tex]3>-2(2)+10\Rightarrow 3>6[/tex] False.
From the given graph it is clear that coordinates of point B are (4,7).
Put x=4 and y=7 in (1).
[tex]7>-2(4)+10\Rightarrow 7>2[/tex] True.
Put x=4 and y=7 in (2).
[tex]7>\dfrac{1}{2}(4)-2\Rightarrow 7>0[/tex] True.
Since both inequalities are true for B(4,7), therefore point B is the solution.
From the given graph it is clear that coordinates of point D are (-7,1).
Put x=-7 and y=1 in (1).
[tex]1>-2(-7)+10\Rightarrow 1>24[/tex] False.
Since the given inequalities are false for points E, K and D, therefore they are not the solution.
Help with this question(will gove brainlist and thanks)(determine area)
Answer:
The area of a triangle is base * height / 2. In this case that is:
3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²
Answer:
3x-6 inches^2
Step-by-step explanation:
[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]
Find the value of y. ANSWERS:A) 31.116 B) 25.196 C) 15.250 D) 51.410
Answer:
C) 15.250
Step-by-step explanation:
[tex]Hypotenuse = 28\\Adjacent = y\\\alpha = 57\\Using -SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 57 = \frac{y}{28} \\0.5446 = \frac{y}{28} \\y = 0.5446 \times 28\\y = 15.2488\\y = 15.25[/tex]
A box contains five blue for red and three yellow marbles to marbles are randomly drawn and not please what is the probability of drawing a blue then a red marble
What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12
We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.
Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.
x - 1 = 0 gives us x = 1.
x + 1 = 0 --> x = -1.
x - 4 = 0 --> x = 4.
x + 3 = 0 --> x = -3.
our roots are x = 1, -1, 4, and -3.
An equilateral triangle has the same perimeter as a square whose side is 12.What is the length of each side of the triangle?
Answer:
Perimeter for rectangle/square is (length + width) x 2
12 + 12 = 24
24 x 2 = 48
So the perimeter is 48
divide 48 by 3 so it is split between 3 sides
48/3=16
so each side has a length of 16
Perimeter for triangle is adding up all the sides together
16 + 16 + 16 = 48 so the perimeter is the same as the square
16 is the answer
Hope this helps
Step-by-step explanation:
Answer:
The side length of the triangle is 16
Step-by-step explanation:
The perimeter of the triangle is
P = 3t since the sides are all equal
The perimeter of the square is
P = 4s since the sides are all equal
We are given the perimeter of the square is 12
P = 4*12
P = 48
We are told the perimeters are equal
48 = 3t
Divide by 3
48/3 = 3t/3
16 =t
The side length of the triangle is 16
PLEASE ANSWER AT LEAST ONE AND IF YOU CAN, ANSWER MORE THAN ONE. THANK YOU!!!!
1. Read the following word problem, then choose which linear equation models the problem.
The sum of the ages of an older sibling and a younger sibling is 16. Four years from now, the of the younger sibling will be the same as the age of the older sibling was two years ago. Find the present age of each sibling.
A. 4x = 14 - x + 16
B. x + 14 - x = 16 + 2
C. x - 4 = 14 + x
D. x + 4 = 14 - x
2. Read the following word problem, then choose which linear equation models the problem.
A rectangular trampoline has an area of 338 square feet. The length of the trampoline is twice it’s width. Find the dimensions of the trampoline.
A. 2w = 338
B. 2w • w = 338
C. 2w + 2w = 338
D. 2(w + w) = 338
3. Read the following word problem, then choose which linear equation models the problem.
The length of a rectangle is six feet more than twice the width. The rectangles perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. (2w + 6) • (w) = 84
D. 2(2w + 6) • (2w) = 84
4. Read the following word problem, then choose which linear equation models the problem.
In Sunnyvale Park, there are 55 species of birds that migrate. This accounts for one third of all the species of birds sighted in the park. Find the number of species of birds that have been sighted in Sunnyvale Park.
A. 1/3 + x = 55
B. 1/3x = 55
C. 1/3 - x = 55
D. 55 + 1/3 = x
Answer:
Step-by-step explanation:
Answer:
1. B
2.B
3. B
4. B
Step-by-step explanation:
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)?
y=34x−92
y=34x+72
y=34x−74
y=34x+174
Answer:
y = 3/4x + 17/4
Step-by-step explanation:
Step 1: Find slope m
m = (5 - 2)/(1 + 3)
m = 3/4
y = 3/4x + b
Step 2: Find b
5 = 3/4(1) + b
5 = 3/4 + b
b = 17/4
Step 3: Rewrite equation
y = 3/4x + 17/4
Answer:
y = 3/4x + 17/9
Step-by-step explanation:
Find the slope:
5 - 2/ 1 - (- 3)
3/ 1 + 4
3/4
Find the y-intercept:
2 = 3/4(-3) + b
2 = -9/4 + b
17/4 = b
Put it in an equation:
y = 3/4x + 17/9
Determine the measure of ∠C. answers: 1) 56° 2) 49.5° 3) 77.5° 4) 63.5°
Answer:
2) 49.5°
Step-by-step explanation:
From the above diagram, we are asked to calculate the measure of ∠C.
The formula to be used for this calculation is given as:
∠C = 1/2 (Far Arc - Near Arc)
∠BAD = 127° = Far Arc
∠EAF = 28° = Near Arc
The measure of ∠C = 1/2 (BAD - EAF)
= 1/2 ( 127° - 28°)
= 1/2 × 99°
measure of ∠C = 49.5°
Answer:
49.5
Step-by-step explanation:I took the test
Find the sum of the three expressions and choose the correct answer. -8a 3 b + 3a2 b 2 - 5 2 + 5a 2 b 2 3a 3 b + 7 - 9a 2 b 2
Answer:
-9ab3a3b-52
Step-by-step explanation:
-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2
-8a3b-6a-52+5a2b3a3b
-14a3b-52+5a2b3a3b
-9ab3a3b-52
Question 18 (5 points)
Identify the independent and dependent variables in the following situation: The
temperature of the water decreases as a diver descends to the bottom of a lake.
The independent variable is the temperature of the water, and the dependent
variable is the depth below the surface of the lake.
The independent variable is the depth below the surface of the lake, and the
dependent variable is the temperature of the water.
The independent variable is the speed at which the diver descends, and the
dependent variable is the temperature of the water.
The independent variable is the type of boat, and the dependent variable is the
temperature of the water.
Answer:
The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water
Step-by-step explanation:
Tempeture = depth x
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
L: y= -4x + 17
Step-by-step explanation:
For a line L to pass through two points, we use the slope formula to calculate the slope, m, where
m = (y2-y1) / (x2-x1)
= (9-1) / (2-4)
= 8 / -2
= -4
Next we use the point slope form to find the line equation:
L: (y-y1) = m (x-x1)
substitute (x1,y1) = (4,1)
L: y-1 = -4 (x-4)
Simplify:
L: y = -4x + 16 + 1
L: y= -4x + 17
Check: substitute (4,1)
y = -4(4)+17 = 1 checks
substitute (2,9)
y = -4(2)+17 = 9 checks
so
L: y= -4x + 17
Answer:
y is equal to 5 and x is equal to 11
There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?
Answer:170
Step-by-step explanation:
122+24+24=170
Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units
Answer:
Option (2)
Step-by-step explanation:
This question is incomplete; find the picture attached which makes this question complete.
Vertices of the given triangle are A(-2, -4), B(2, -1) and C(3, -4).
Length of AB = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
AB = [tex]\sqrt{(2+2)^2+(-1+4)^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= 5 units
Since AB = AC
AC = 5 units
Similarly, BC = [tex]\sqrt{(3-2)^2+(-4+1)^2}[/tex]
BC = [tex]\sqrt{10}[/tex] units
Therefore, perimeter of the given triangle = AB + AC + BC
= 5 + 5 + √10
= (10 + √10) units
Option (2) will be the answer.
Answer:
b
Step-by-step explanation:
if a watch is losing 1.5 minutes for every 12 hours that go by, how many minutes will it lose in one week?
Hey there! :)
Answer:
21 minutes.
Step-by-step explanation:
Begin by calculating the number of 12 hour periods in a week.
Each day contains two 12 hour periods. (24 hours/12 = 2)
There are 7 days in a week, therefore:
2 × 7 = 14 times the watch will lose minutes.
Multiply to find the total number of minutes lost:
14 × 1.5 = 21 minutes.
Answer:
21 minutes
Step-by-step explanation:
There are 24 hours in one day, and 7 days per week. Thus there are
(24)(7), or 168, hours in one week, or 14 - 12-hour periods.
Thus, we multiply 14 - 12-hr periods to answer this question:
1.5 minutes / 14 - 12-hour periods)= 21 minutes will be lost in one week.