Answer:
(a) -9 and 4
(b) 5 and 4
(c) -6 and 6
(d) 19 and -1
integers r numbers like 1, 2, 3, -3, -1, etc. basically they cannot have decimals or fractions or anything weird, they r whole numbers that can be negative or positive.
Use the work shown below to find the simplified product
Given:
The expression is:
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
To find:
The simple product.
Solution:
We have,
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
It can be written as:
[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]
Cancel out the common factors.
[tex]=\dfrac{5\times x}{x+3}[/tex]
[tex]=\dfrac{5x}{x+3}[/tex]
Therefore, the correct option is C.
Solve the following word problems:
Answer:
His loss is 90
He sold it 1710
Step-by-step explanation:
1) 1800x5/100= 90
2) 1800-90=1710
Answer:
Step-by-step explanation:
CP = ₹1800
Loss = 5%
[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]
= ₹ 1710
Loss = CP - SP
= 1800 - 1710
= ₹ 90
A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.
Answer:
y = - [tex]\frac{5}{2}[/tex] x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, - 9) into the partial equation
- 9 = - 20 + c ⇒ c = - 9 + 20 = 11
y = - [tex]\frac{5}{2}[/tex] x + 11 ← equation of line
SOMEONE PLEASE HELP ME!!!!! I NEED THIS!
Answer:
QR ≈ 16.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{MN}{QR}[/tex] = [tex]\frac{MP}{QT}[/tex] , substitute values
[tex]\frac{40.3}{QR}[/tex] = [tex]\frac{57}{23}[/tex] ( cross- multiply )
57 QR = 926.9 ( divide both sides by 57 )
QR ≈ 16.3 ( to the nearest tenth )
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV
Answer:
12
Step-by-step explanation:
because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12
The required value of the PV is 12 in triangle DEF where p is the incenter.
Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.
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A right triangle is shown below.
B
c
A
b
Which of the following equals sin A?
Answer:
B
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{c}[/tex] → B
(1 x 10 ^ -3) ÷ (5 x 10 ^ 2) in standard form Plz ANSWER QUICK
Answer:
2 × 10⁻⁶
Step-by-step explanation:
( 1 × 10⁻³ ) ÷ ( 5 × 10² )
→ Rewrite into normal form
0.001 ÷ 500
→ Simplify
2 × 10⁻⁶
Answer:
[tex]\frac{1}{500,000}=2*10^{-6}[/tex]
Step-by-step explanation:
[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]
We have:
[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]
In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]
Which of the following pairs of functions are inverses of each other?
OPTION C is the correct answer.
please help! see question below :)
Answer:
I have no clue sorry bro.
Mrs. Dominguez asked her students to plot the number of books they read over the summer
Answer: Count the dots located on the blot labeled at 2.
There are 6 dots, which mean 6 students read 2 books.
The answer is 6.
Step-by-step explanation:
1. Which of the following intervals shows the graph
increasing? Select all that apply.
PLEASE HELP ASAP PLS
Answer:
Options (A) and (C)
Step-by-step explanation:
Parts of the function will show the increase where y-values are increasing.
From the graph attached,
We see two parts of the graph are showing the increasing trend.
Intervals where the y-values (Values of the function) are increasing,
-2 < x < -1
1 < x < ∞
Therefore, Options (A) and (C) are the correct options.
There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?
What is the area of the garden?
Answer:
15 feet width of actual garden
360 feet^2 is area
Step-by-step explanation:
Scale in drawing:
width : length
5 : 8
Actual Meausrements:
x: 24
Actual Width = 5:8
x : 24
8x = 24 x 5
8x = 120
120/8 = 15
Area of garden= lxw
15 x 24
= 360 feet^2
Answer from Gauthmath
FOR EASY BRAINLIEST ANSWER THE QUESTION BELOW:
Write an equation for the line . Write it in the form : Ax + By = C 14 ) Through (1, - 2); m = - 5
Answer:
5x+y=3
Step-by-step explanation:
Slope = -5,
y intercept b=-2-(-5)×(1)=3
so, y=-5x+3
or, 5x+y=3
Answered by GAUTHMATH
Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Its on a number line :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
Evaluate the expression x=-7. x2+4x-5
[tex]\sf \: Given \: x = - 7[/tex]
[tex]\sf \: Substitute \: the \: value \: of \: x \: as \: - 7 \: in \: the \: eq.\: \: {x}^{2} + 4x - 5[/tex]
[tex]\sf \: {x}^{2} + 4x - 5 \\ \sf = ( - 7) ^{2} + 4( - 7) - 5 \\\sf = 49 - 28 - 5 \\ \sf =\underline 1\underline6[/tex]
Answer ⟶ [tex]\boxed{\bf{16}}[/tex]
(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)
Answer:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}
1+cosθ=2cos
2
2
θ
= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos
2
2
(A−B)
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
=RHSRHS
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand
Answer:
1) 44
a) 7 + 37
b) 3 + 41
c) 13 + 31
2) 36
a) 5 + 31
b) 7 + 29
c) 17 + 19
3) 24
a) 5 + 19
b) 7 + 17
c) 11 + 13
4) 18
a) 5 + 13
b) 7 + 11
Expressing the numbers as sum of two odd primes we have,
44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7What is Prime Number?Prime numbers are numbers which are only divisible by 1 and itself.
Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...
What is Odd number?Odd numbers are numbers which are not divisible by 2.
Odd numbers are give by: 1,3,5,7,9,11,.....
2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.
So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....
Expressing the give numbers as the sum of odd prime numbers we get,
A) 44
41+3 = 44
37+7 = 44
31+13 = 44
B) 36
31+5 = 36
29+7 = 36
23+13 = 36
19+17 = 36
C) 24
19+5 = 24
17+7 = 24
13+11 = 24
D) 18
13+5 = 18
11+7 = 18
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when servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula
time = 1 hour + 45 minutes per radiator
he charges his costumer a call-out fee of £30, plus £20 per hour
how much should a costumer be charged for servicing a heating boiler and four radiators
Answer:
£110
Step-by-step explanation:
We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.
Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:
[tex](45*4)/60[/tex]
We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:
[tex]180/60=3[/tex]
Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:
[tex]3*20=60[/tex]
Now we add our totals for a grand total of...
[tex]50+60=110[/tex]
SOMONE PLEASEE HELPPP MEEEEEEEE!!!
Answer:
? = 36 degrees
Step-by-step explanation:
To find this measure, we use the appropriate trigonometric ratio
from the question, the angle faces the length 26 which represents the opposite
the length 44 faces the angle 90, which is the hypotenuse
The trigonometric ratio that connects both is the sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus;
sine ? = 26/44
? = arc sine (26/44)
? = 36
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
PLS how to do this 3 sums
Answer:
Step-by-step explanation:
7) PQ // RS, RQ is transversal
x = 38 {Alternate interior angles are congruent}
In ΔPQR ,
x + y + ∠P = 180 {Angle sum property of triangle}
38 + 90 + y = 180
128 + y = 180
y = 180 - 128
y = 52
9) Construct XY // AB
XY // AB & AC is transversal
∠1 = ∠4 ---------(I) {alternate interior angles are equal}
XY // AB & BC is transversal
∠3 = ∠5 ---------(II) {alternate interior angles are equal}
∠1 + ∠2 + ∠3 = 180 {straight line angles}
∠4 + ∠2 + ∠5 = 180 {From (I) & (II) }
Sum of three angles of triangle is 180.Hence proved.
i need help asap....................
Answer:
what even is that..
Step-by-step explanation:
What is the approximate area of the figure below?
A. 27 square units
B. 29 square units
C. 30 square units
D. 36 square units
Answer:
C : 30 SQUARE UNITS
Need help!
8 ÷ 2 (2 + 2) =
Answer:
= 16
Step-by-step explanation:
= 8 \div 2 . 4
= 16
Answer:
[tex]8\div \:2\left(2+2\right)[/tex]
[tex]=8\div \:2\cdot \:4[/tex]
[tex]=16[/tex]
OAmalOHopeO
Please help ASAP help please due soon
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Answer:
75 in2
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
5*5= 25 in.
Triangles (4):
[tex]5*5*\frac{1}{2} =12.5[/tex]
Multiply by 4.
12.5*4= 50 in.
Add all them up.
25+50= 75
i need it! urgent! pls someone help!
Option 4 is correct
The relationship is:
y = 3/4 x
If a right circular cone is intersected by a plane only at its vertex, as in the
picture below, what shape is produced?
o
A. A line
B. A circle
Ο ΟΟ
C. An ellipse
D. A point
O
E. A parabola
F A hyperbola
Answer:
D. A point
Step-by-step explanation:
If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
Step-by-step explanation:
So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.
Year 1 total: $2136.33
Year 2 total:$2173.29
Year 3 total:$2210.89
Year 4 total:$2249.14
Year 5 total:$2288.05
Total Paid After 5 years:$11057.70
Year 1 total interest:$36.33
Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91
Total Interest paid after 5 years:$188.05
Which system of linear inequalities is graphed?
Answer:
It is the first set of linear inequalities that is correct.
Step-by-step explanation:
plzzz donttttt ignoreeeee
Step 1: Find the area of the whole circle
A = pi x r^2
A = pi x 12^2
A = 144pi units^2
Step 2: Use the given angle to find only a part of the area
---The whole circle is 360 degrees, we only want 45 degrees.
45/360 x 144pi
1.5pi
4.71 units^2
Hope this helps!
Answer:
E. None of these
Step-by-step explanation:
Sector Area = r² (α / 2)
R = 12
a (angle) = 45
12^2 = 144
45/2 = 22.5
144 x 22.5 = 3240
This is not one of the options therefore it is E. None of these
Pls let me know if incorrect
