The factor x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15
How to determine the factor of the expression?The expression is given as:
5x^2 + 20x + 15
Factor out 5 from the expression
5(x^2 + 4x + 3)
Expand
5(x^2 + x + 3x + 3)
Factorize the expression
5(x(x + 1) + 3(x + 1))
Factor out x + 1
5(x + 3)(x + 1)
The factors of the above expressions are 5, x + 3 and x + 1
Hence, x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15
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To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1). Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? 2 (18 + 4) One-half (18 + 4) (18 + 4) (18 - 4)
Answer:
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085
Step-by-step explanation:
The given parameters are;
The coordinates of parallelogram RSTU are;
R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)
The lengths of the sides are (using an online length calculator);
RS = 4.1231
RT = 10
ST = 9.2195
SU = 10.198
TU = 4.1231
UR = 9.2195
Therefore, by definition of a parallelogram, we have;
RS║TU and ST║UR
The slope of RS = (1 - (-3))/(-5 - (-4)) = -4
The slope of ST = (3 - 1)/(4 - (-5)) = 2/9
The equation of the line perpendicular to ST is therefore;
y - 1 = -9/2×(x - (-5))
y = -9x/2 - 43/2
The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1
y = x/4 - 2
The point where the two lines meet is therefore;
-9x/2 - 43/2 = x/4 - 2
x = -78/19
y = -115/38
The length of the side of the rectangle = 4.1245
The excess width of the rectangle = 0.1085
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.
Answer: It’s C on edge
Step-by-step explanation:
Explique, de forma resumida, o significado dos números que expressam porcentagens nas orações a seguir. A) 10% dos alunos de uma escola não têm animal de estimação. B) 19% dos livros de uma biblioteca precisam ser catalogados. C) Segundo a Pesquisa Nacional por Amostra de Domicílio (Pnad), divulgada pelo Instituto Brasileiro de Geografia e estatística (IBGE), 51% da população brasileira é constituída por mulheres.
Answer:
Hola como esta xd lol what
Slope = 2; y-intercept = -1
Answer: y=2x-1
Step-by-step explanation:
In slope intercept form y=Mx+b
Mx=slope and b=intercept
Y=2x-1
The equation of line with slope m = 2 and y-intercept is -1 is given by
y = 2x - 1
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 2
Let the y intercept of the line b = -1
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 2x - 1 be equation (1)
Therefore , the value of A is y = 2x - 1
Hence , the equation of line is y = 2x - 1
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During an investigation on speed, a ball rolls down a ramp a distance of 8 m in a time of 2 seconds. What is the average speed of the ball in m/s?
Answer:
4 m/s
Step-by-step explanation:
To find the average speed of the ball, divide the number of meters by the number of seconds:
8/2
= 4
So, the average speed of the ball is 4 m/s
Add the following military times:
0645 + 0745 =
Answer:
2316
Step-by-step explanation:
use a calculator
Answer:
0645+0745= 1390 but there are not 90 mins in an hour so you roll over 60 over those min to get 1430
2:30
explanation:
Answer this please, what is B and C
Answer:
b = 114 degrees
c = 33 degrees
Step-by-step explanation:
33 +c+b=180
c≅ 33
33+33+b=180
66+b=180
Nick's phone bill is $50 per month plus $0.25 for every text message. If his bill was $108 this month, how many
text messages did he send?
Answer:
232 text messages
Step-by-step explanation:
108 - 50 = 58
[tex]58 \div .25[/tex]
232 text messages
Yw :)
If the fraction (352/x-10) is equivalent to -22, find the value of x.
Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵ [tex]\frac{352}{x-10}[/tex] = -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴ [tex]\frac{352}{x-10}[/tex] × (x - 10) = -22 × (x - 10)
∴ 352 = -22(x - 10)
→ Simplify the right side by multiplying -22 by the bracket (x - 10)
∵ 352 = -22(x) - 22(-10)
∴ 352 = -22x + 220
→ Add 22x to both sides
∵ 22x + 352 = -22x + 22x + 220
∴ 22x + 352 = 220
→ Subtract 352 from both sides
∴ 22x + 352 - 352 = 220 - 352
∴ 22x = - 132
→ Divide both sides by 22 to find x
∴ [tex]\frac{22x}{22}=-\frac{132}{22}[/tex]
∴ x = -6
∴ The value of x is -6
The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.
Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
Using Pythagoras :
SOHCAHTOAHorizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance
Total horizontal distance = opposite = (d + 0.6) miles Vertical distance = Adjacent = 2.5 MilesTo obtain the angle of depression, q :
Tanθ = opposite / Adjacent[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]
[tex] tan q = \frac{d + 0.6}{2.5} [/tex]
Therefore, q can be written in terms of d thus ;
[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]Learn more : https://brainly.com/question/17350482
What property justifies 4x=7
Answer:
x=1.5
Step-by-step explanation:
Answer:
exact form x=7/4
decimal form x=1.75
mixed number form x=1 3/4
Step-by-step explanation:
Fill in the blank with Yes or No. Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. 1. Is Rectangle A a scaled copy of Rectangle B? 2. Is Rectangle B a scaled copy of Rectangle A? 3. Is Rectangle A a scaled copy of Rectangle C?
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
Given
Rectangle A:
[tex]Length = 12; Width = 8[/tex]
Rectangle B:
[tex]Length = 15; Width = 10[/tex]
Rectangle C:
[tex]Length = 30; Width = 15[/tex]
Solving (1): Is Rectangle A a scaled copy of Rectangle B?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{B}[/tex]
For Length:
[tex]Ratio = \frac{12}{15}[/tex]
[tex]Ratio = 0.8[/tex]
For Width:
[tex]Ratio = \frac{8}{10}[/tex]
[tex]Ratio = 0.8[/tex]
Since both ratios are the same, then this statement is true
Solving (2): Is Rectangle B a scaled copy of Rectangle A?
This is the inverse of (1) calculated above.
Since (1) is true, then (2) is also true
3. Is Rectangle A a scaled copy of Rectangle C?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{C}[/tex]
For Length:
[tex]Ratio = \frac{12}{30}[/tex]
[tex]Ratio = 0.4[/tex]
For Width:
[tex]Ratio = \frac{8}{15}[/tex]
[tex]Ratio = 0.53[/tex]
Since both ratios are the not same, then this statement is false
3. The area of a rectangle is 5/8 square foot. The width of the rectangle is 24
feet. What is the length of the rectangle?
a) 25/16 feet
b) 25/5 feet
c) 14 feet
d) 4 feet
Answer: 14
Step-by-step explanation:
Well, we know that the formula to fugure out area is :Length times Width
We also know that WIdth is 24. So 24 times __ =5/8.
Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x Now, we know that:
x * 24 = 5/8.
To figure out x, we need to do 5/8 divided by 24, right? When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.
There are 24 hours in one day. The total hours is a function of the days. Does this situation represent a linear or nonlinear function?
Linear
or
nonlinear
Round 685,135 to the nearest ten thousand.
Answer:
690,000 I think
Step-by-step explanation:
A bakery sold a total of 80 cupcakes in a day, and 95% of them were chocolate
flavored. How many of the cupcakes sold that day were chocolate flavored?
Answer:76
Step-by-step explanation:
What is the value of 6/x +2c^2, when x= 3?
O 8
O 11
O 14
20
Answer:
the answer is 11
Step-by-step explanation:
dont know
how.would i solve this
Triangles LNM and SRT are similar, so corresponding angles are congruent. In particular, angles M and T are congruent. The interior angles of any triangle sum to 180º in measure, so
65º + 55º + (2x + 30)º = 180º
Solve for x :
(2x)º + 30º = 60º
(2x)º = 30º
x = 15
I’ll mark brainliest
Evaluate the following expression for
m= -3
N= 4
P= 2
(4) / (2) + (-3)
4/2 - 3
4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )
4/2 - 6/2
-2/2 ( simplify )
-1 is the answer
The two angles below are complementary. Solve for r and round your
answer to the nearest tenth.
Answer:
70
Step-by-step explanation:
The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept? PLEASE HELP!
Answer:To get from this point to the y-intercept, we must move up 4 units (rise) and to the right 2 units (run). ... How To: Given a graph of linear function, find the equation to describe the function. ... This function has a slope of 2 and a y-intercept of 3. ... Notice that a vertical line, such as the one in Figure 15, has an x-intercept, but no
Step-by-step explanation:
PLZZZZZ I AM TIMED AND IT IS ON 10 MINUTES
Which tasks are common to all Education and Training career pathways? assessing students on learning and approving budgets communicating with schools and families and enforcing rules that govern behavior teaching students and collaborating with teachers on instructional content developing instructional content for teachers and assessing student learning through exams
Answer:
Teaching students and collaborating with teachers on instructional content
Step-by-step explanation:
A common task to all Education and Training career pathways is teaching students and collaborating with teachers on instructional content.
What is an Education and Training career pathway?An Education and Training career pathway refers to the various career paths which people in education and training follow in the field of education and training.
There are various education and training career pathways such as;
early childhood education,educational technology,physical education, etc.All forms of education and training careers teach students and collaborate with teachers to develop course content.
Therefore, teaching students and collaborating with teachers on instructional content is a common task to all Education and Training career pathways.
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D. Neither
I will give brianlest to whoever is right
Answer:
Negative Infinity
Step-by-step explanation:
It is a negative slope, therefore as x moves towards positive infinity, y will move towards negative infinity.
i need help please.
Answer:
D.200.9 FT
Step-by-step explanation:
SHADOW: 46 = 110
Building: /84. /x
110*84=9240
9240/46= 200.86
rounded: 200.9
I do my math different, so sorry if it's confusing
Answer: 200.9
Step-by-step explanation: Im not 100 sure I just divided 200.9/110 like 84/46
The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²
Answer:
Step-by-step explanation:
Lateral surface area of cube = 4a²
4a² = 400
a² = 400÷4
a² = 100
a = √100 = √10*10
a = 10 cm
Total surface area = 6a²
= 6 * 10²
= 6* 100
= 600 cm²
Answer:
A
Step-by-step explanation:
I believe that I did this before.
Please help me answer this question!
Answer:
D. -3 and 3
Step-by-step explanation:
We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.
Option A:
If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.
Option B:
As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.
Option C:
If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.
Option D:
We know that -3 is a possible input so we just need to check 3 as an input.
If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.
Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.
Best of Luck!
The leg from the waiting area to the airplane's takeoff ( its hard to explain sorry)
Answer:
Can u explain make it clearer
Step-by-step explanation:
It's confusing
Answer:0.1= .75 Of an hour
Step-by-step explanation:
Help me out please an thank you
You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?
Answer:
10 trips
Step-by-step explanation:
Let the number of trips to the gym be represented by t
Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.
$20 + $2× t
20 + 2t
Option B is to pay $4 each time you go.
$4 × t
= 4t
After how many trips to the gym will the cost be the same?
Option A = Option B
20 + 2t = 4t
Collect like terms
20 = 4t - 2t
20 = 2t
t = 20/2
t = 10 trips.
After 10 trips, the gym cost will be the same.
what’s the decimal of 325%
Answer:
3.25
Explantion:
325/100 = 3.25
Can any kind soul help me please
Answer:
(i) we will be finding the acceleration here, in the first 20 seconds the velocity was 10
a = velocity/time
a = 10/20
a = 0.5 ms -2
(ii) difference in distance of the bus and bicycle will be given by formula of velocity
velocity of bicycle
10 * 80 = distance
800 metres
velocity of bus
for first 20 seconds( distance= velocity* time)
200 metres
from 20 seconds to 60 seconds, it will be for 40 seconds
then distance will be,
400 metres
final 20 seconds
200 metres
adding the distances of bus it will be 800 metres.
the difference in distance will be 0 metres.
this is wat i think