Answer:
Second step x( x +5 ) -8 (x+ 5 ) in process of factoring .
Step-by-step explanation:
Given : Trinomial x²-3x-40 .
To find : The second step in the process for factoring .
Solution : We have x²-3x-40 .
On factoring x²+ 5x - 8x - 40 .
Taking common x from first two terms and -8 from last two terms.
x( x +5 ) -8 (x+ 5 ) .
Therefore , Second step x( x +5 ) -8 (x+ 5 ) in process of factoring .
HELP ME PLEASE !
1. What is the solution of n² – 49 = 0? (1 point)
–7
7
±7
no solution
2. What is the solution of x² + 64 = 0? (1 point)
–5
8
±8
no solution
3. What is the side length of a square with an area of 144x²? (1 point)
12
12x
±12x
no solution
5. What is the value of z so that –9 and 9 are both solutions of x² + z = 103? (1 point)
–22
3
22
184
Please help ASAP!!! 14 points ):
What is the sum of the polynomials
Answer:
Option B. 4m - 24n + 3
Step-by-step explanation:
There are two polynomials (17m - 12n - 1) and (4 - 13m - 12n)
We have to add the given tow polynomials
(17m - 12n -1) + (4 - 13m -12n)
Now we will put the similar terms together and add them.
(17m - 12n -1 + 4 - 13m - 12n) = 17m - 13m -12n - 12n -1 + 4 = 4m - 24n + 3
The final answer by adding them is Option B. 4m - 24n + 3
If 300 cubes can fit in the rectangular prism below what is the edge length of each cube
Answer:
Basic common sense just by looking at the dimensions
Step-by-step explanation:
...
A. 1/64in
B. 7/400in
C. 1/4in
D.4 11/16
PLZ HELP ME WITH THIS
ASAP
BLANK 1 : right, down, left , up
BLANK 2: up, right , left , down
BLANK 3: 2, 6, 9,-1
BLANK 4: -1, -8, 2, -5
Thx
i need help fast thx
What is the best way to combine sentences 6 and 7? Answer it and I'll mark you brainliest answer !!
A,b,c, or d let me know ASAP.
I got no idea on this! Please help!! 20 points.
Twelve times the number of days decreased by five
Say you own 316 shares of Esti Transport stock, which offers an annual dividend of $8.16 per share. How much will you receive in quarterly dividends?
Answer:
$644.64
Step-by-step explanation:
Total shares=316
Annual Dividend on 1 share =$8.16
Annual Dividend on 316 shares=$8.16*316
=$2578.56
As there are four quarters in a year, the total annual dividend will be divided by 4 to get the quarterly dividend.
Quarterly Dividend for 316 shares= 2578.56/4
=$644.64
Answer:
the answer is c
Step-by-step explanation:
word problems ANSWER ASAP
"In still water, Derek can paddle his canoe at 6.5 km/h. On a river, the canoe travels faster downstream than upstream because of the current. In the morning Derek travels upstream and takes 5 hours and then in the afternoon Derek travels downstream the same distance and takes 2 hours. What is the speed of the current? Answer to the nearest tenth."
P L E A S E H E L P
HELP! A scale model of an ancient Egyptian pyramid is 29 centimeters high, with a base length of 46 centimeters.
The height of the real pyramid is 145 meters. What is the base length of the real pyramid?
Enter your answer, in simplest form, in the box
HURRRY QUICK!!!!!!
HELP ME ON THIS!!!!!!!!!!!!!!!!!!!!
The wheels on Annie's bicycle are $20$ inches in diameter. If each wheel makes $3$ full revolutions every second, then how many feet does Annie travel in $1$ second? Give your answer as an integer, rounded to the nearest foot.
Final answer:
To calculate the distance Annie travels on a bicycle with 20-inch diameter wheels making 3 revolutions per second, use the formula for calculating distance traveled.
Explanation:
The diameter of the wheels is 20 inches, which means the radius is half of the diameter, so radius = 10 inches = 10/12 feet. Each wheel makes 3 revolutions per second.
To find how many feet Annie travels in 1 second, you can use the formula:
Distance traveled = 2 * pi * radius * number of revolutions per second.
Substitute the values into the formula and then round to the nearest foot to get the answer.
The answer is 0 feet.
A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown.
The side opposite the 30° angle measures 41 feet.
A) find the length of the side of the lot opposite the 60° angle.(show how I know).
B) find the length of the hypotenuse of the triangular lot.(show how I know)
Which of the following functions best represents the graph?
A. f(x) = x3 + 2x2 − 4x − 8
B. f(x) = x3 + 4x2 − x − 4
C. f(x) = x3 + x2 − 9x − 9
D. f(x) = x3 + 3x2 − 3x − 9
Answer:
Option: C is the correct answer.
[tex]f(x)=x^3+x^2-9x-9[/tex]
Step-by-step explanation:
Clearly from the graph we could see that:
3 and -3 are zeros of the function f(x).
since the graph crosses these two points on the x-axis.
i.e. when x=3 or -3 ⇒ f(x)=0
Now when we put x=3 in each of the equation we see that:
A)
[tex]f(x)=x^3+2x^2-4x-8[/tex]
when x=3
[tex]f(x)=3^3+2\times 3^2-4\times 3-8\\\\f(x)=27+18-12-8\\\\f(x)=25\neq0[/tex]
Hence, option A is incorrect.
B)
[tex]f(x)=x^3+4x^2-x-4[/tex]
when x=3
[tex]f(x)=27+36-3-4\\\\f(x)=56\neq0[/tex]
Hence, option B is incorrect.
D)
[tex]f(x)=x^3+3x^2-3x-9[/tex]
when x=3
[tex]f(x)=27+27-9-9\\\\f(x)=36\neq0[/tex]
Hence, option D is incorrect.
Hence all the three options are discarded.
Hence, option C is the correct answer.
The function best represents the graph is:
[tex]f(x)=x^3+x^2-9x-9[/tex]
In the below system, solve for y in the first equation.
x – 3y = –6
2x – 7y = 10
one thirdx + 2
negative one thirdx + 6
–x + 2
negative one thirdx + 2
Please help asap!! 14 points
Answer:
The equation of the line in slope-intercept form is y = 92x + 532.
The equation of the line in standard form is 9x−2y=−53
Explanation:
The slope of the line passing through (−7,−5)and(−5,4) is m=y2−y1x2−x1=4+5−5+7=92
Let the equation of the line in slope-intercept form be y=mx +cory =92x+c The point (-7,-5) will satisfy the equation . So, −5=92⋅ (−7)+corc=632−5=532
Hence the equation of the line in slope-intercept form is y=92x+532.
The equation of the line in standard form is
y=92x+532.or2y=9x+53
or 9x−2y =−53 {Ans]
Over 6 days, jim jogged 6.5 miles, 5miles, 3miles, 2miles,3.5 miles,and 4 miles.what is the mean distante that jim jogged
Answer:
C edg 2020
Step-by-step explanation:
Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.
The lateral area of a right circular cone with a radius of 6 feet and height of 8 feet is 60π square feet. We calculate this by first finding the slant height using the Pythagorean Theorem and then substituting the radius and slant height into the formula for the lateral area of a cone.
Explanation:The lateral area of a cone can be calculated using the formula πrl, where r is the radius and l is the slant height. However, in this question, we're not provided the slant height, but the height. Therefore, we first need to find the slant height using the Pythagorean theorem, since a right circular cone forms a right triangle with the radius and the height. Using Pythagorean theorem, the slant height (l) can be found as
l = √(r² + h²) = √((6ft)² + (8ft)²) = 10ft.
Substitute the values of r and l into the formula for lateral area: πrl = π × 6ft × 10ft = 60π ft².
So, the lateral area of the cone is 60π square feet.
Remember to always use the correct units when solving such problems.
Learn more about Lateral Area of Cone here:https://brainly.com/question/27344591
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The length of a rectangle is 3 times its width. if the width is diminished by 1 inch and the length is increased by 3 inches. the area of the the new rectangle is 72 square inches. find the dimensions of the original rectangle.
The width of the original rectangle is 5 inches and the length is 15 inches.
Explanation:Let's assume the width of the original rectangle is x inches. According to the problem, the length of the rectangle is 3 times its width, so the length of the original rectangle is 3x inches.
When the width is diminished by 1 inch, the new width becomes x - 1 inches. And when the length is increased by 3 inches, the new length becomes 3x + 3 inches.
The area of a rectangle is given by length multiplied by width, so we can set up the following equation:
(x - 1)(3x + 3) = 72
By multiplying out the terms and rearranging the equation, we get:
3x^2 + 6x - x - 3 = 72
Combining like terms and simplifying further:
3x^2 + 5x - 75 = 0
Solving this quadratic equation gives us two possible answers for x: x = -5 or x = 5.
Since the width cannot be negative, we discard the negative value of x. Therefore, the width of the original rectangle is 5 inches and the length is 3 times the width, which is 3 * 5 = 15 inches.
What is measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
What is measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Both questions use the same pic
Given is a Right triangle PQR with angle Q = 90 degrees.
Given are sides PQ = 8 cm, QR = 15 cm, PR = 17 cm.
Side PR is the hypotenuse.
We can use formula for "sin" given as follows :-
[tex] sin(\theta)=\frac{Opposite}{Hypotenuse} [/tex]
For angle R, opposite side would be PQ.
[tex] sin(R)=\frac{PQ}{PR} \\\\
sin(R)=\frac{8}{17} \\\\
sin(R)=0.470588235 \\\\
R=sin^{-1}(0.470588235) \\\\
R = 28.07248694 \;\;degrees \approx 28.07 \;degrees [/tex]
For angle P, opposite side would be QR.
[tex] sin(P)=\frac{QR}{PR} \\\\
sin(P)=\frac{15}{17} \\\\
sin(P)=0.882352941 \\\\
P=sin^{-1}(0.882352941) \\\\
P = 61.92751306 \;\;degrees \approx 61.93 \;degrees [/tex]
Hence, R = 28.07 degrees and P = 61.93 degrees.
To solve the problem we must know about Trigonometric functions.
Trigonometric functions[tex]\rm {Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\rm {Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\rm {tan\theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of the ∠R is 28.0724°.The value of the ∠P is 61.9275°.Given to usPR = 17 cmQR = 15 cmPQ = 8 cm1. For ∠RFor ∠R, the opposite side will be PR, therefore, PR will be the Perpendicular,
Substituting the values in the formula of Sine,
[tex]\rm {Sin (\angle R)=\dfrac{PQ}{PR}\\\\ [/tex]
[tex]\rm {Sin (\angle R)=\dfrac{8}{17}\\ [/tex]
[tex]\rm {(\angle R)=Sin^{-1} \dfrac{8}{17}\\ [/tex]
[tex]\rm {(\angle R)=28.0724^o [/tex]
Hence, the value of the ∠R is 28.0724°.
2. For ∠PFor ∠P, the opposite side will be QR, therefore, QR will be the Perpendicular,
Substituting the values in the formula of Sine,
[tex]\rm {Sin (\angle P)=\dfrac{QR}{PR}\\\\ [/tex]
[tex]\rm {Sin (\angle P)=\dfrac{15}{17}\\ [/tex]
[tex]\rm {(\angle P)=Sin^{-1} \dfrac{15}{17}\\ [/tex]
[tex]\rm {(\angle R)=61.9275^o [/tex]
Hence, the value of the ∠P is 61.9275°.
Learn more about Sine function:
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What proportional segment lengths verify that QS¯¯¯¯¯∥MN¯¯¯¯¯¯¯ ?
Enter your answers in the boxes.
__ __
1.5=
the proportional segments for the given diagram is
[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]
Given:
In the given diagram , QS is parallel to MN
when a line that intersects two sides of the triangle is parallel to third side then the sides are in proportion
From the given the sides are in proportion
[tex]\frac{RM}{MQ} =\frac{RN}{NS} \\\frac{9}{1.5} =\frac{12}{2}[/tex]
so the answer for the given diagram is
[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]
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Please help me figure this out because everything I've tried doesn't work. I NEED TO FINISH THIS TO GRADUATE PLEASE PLEASE PLEASE HELP ME!
A perpendicular bisector, CD , is drawn through point C on AB.
If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of CD is ____ . Point ___ lies on CD.
Part 1 options
(3,0)
(18/5,0)
(9,0)
(45/2,0)
Part 2 options
(-52,141)
(-20,57)
(32,-71)
(54,-128)
Refer to Explorations in Literature for a complete version of this passage.
Read this excerpt from "Here Is New York."
…each embraces New York with the intense excitement of first love, each absorbs New York with the fresh eyes of an adventurer, each generates heat and light to dwarf the Consolidated Edison Company.
How does the author use imagery in “Here Is New York” to advance his viewpoint?
A: The imagery emphasizes that individual people can find opportunities in New York that they cannot find elsewhere.
B: The imagery expresses the majesty of New York City and illustrates how the writer sees New York.
C: The imagery illustrates his view of what a true New Yorker is and the relationship that a New Yorker should have with the city.
D: Specific references to personal experiences illustrate how the writer felt when he first came to New York.
Answer:
'each embraces New York with the intense excitement of first love, each absorbs New York with the fresh eyes of an adventurer, each generates heat and light to dwarf the Consolidated Edison Company'
The correct answer is C - The imagery illustrates his view of what a true New Yorker is and the relationship that a New Yorker should have with the city.
Solve for this equation for x round your number to the nearest hundredth 0.98=log x
Final answer:
To solve 0.98 = log x, you determine the number x for which 10 raised to the power of 0.98 equals x. Using a calculator, you find that x is approximately 95.50.
Explanation:
To solve the equation 0.98 = log x, we need to find the value of x such that when you take the common logarithm (base 10) of x, you get 0.98. A common logarithm is a logarithm with base 10, and the equation informs us that x is 10 raised to the power of 0.98 since y = log10(x) can be rewritten as x = 10y.
To find x, we can use the inverse operation of logarithm, which is exponentiation. We can express this process as follows:
x = 100.98
Using a calculator with exponentiation functionality, we enter the value of 0.98 and use the 10x function (sometimes labeled as INV or SHIFT followed by the LOG key).
The result is that x is approximately 95.50 when rounded to the nearest hundredth.
Which statements are true about the number of employees?
4. The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.
A. 16
B. 28.5
C. 2.8
D. 12.7
Please help asap. Means a lot <3
13. Explain how the line of best fit would change if one of the data points were moved up or down. Clearly mention how the x-value (time) of the point would influence this.