Answer:
5x-2
Step-by-step explanation:
15x^2-x-2
15x^2+5x-6x-2
factorize
5x(3x+1)-2(3x+1)
Sol: (3x+1)*(5x-2)
please help im desperate no. 48 and 49
Answer:
48. option C : Substitution
49. Option D : ( 3, 6)
Step-by-step explanation:
3x + y = 15 ------------- ( 1 )
y = 2x ------------------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
3x + y = 15
3x + 2x = 15
5x = 15
[tex]x = \frac{15}{5} = 3[/tex]
Substitute x in ( 2 ) :
y = 2x
y = 2 × 3 = 6
The solution to the system of equation is ( 3 , 6 )
Answer:
C and (3, 6 )
Step-by-step explanation:
(48)
Since given y = 2x the best method of solving is by substitution C
(49)
Given the 2 equations
3x + y = 15 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
3x + 2x = 15
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (2) and evaluate for y
y = 2x = 2 × 3 = 6
solution is (3, 6 )
A_____ function is a function that can be expressed as the quotient of two polynomial functions in wich the denominator does not equal zero. A.rational B.division C.relationship D.polynomial
Answer:
rational
Step-by-step explanation:
that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.
How do you solve this equation ? 25 − 3 x = 40
Answer:
x = -5
Step-by-step explanation:
25 - 3x = 40
3x = -15
x = - 5
Answer:
x = -5
Step-by-step explanation:
25 − 3x = 40
-3x = 15
x = -5
The circle below has center T. Suppose that mUV = 68 and that UW is tangent to the circle at U. Find the following. Does anyone know this?
Answer:
Step-by-step explanation:
Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.
As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees
Using the following equation, find the center and radius:
x2 −2x + y2 − 6y = 26 (5 points)
Question 13 options:
1)
The center is located at (−1, −3), and the radius is 36.
2)
The center is located at (1, 3), and the radius is 36.
3)
The center is located at (−1, − 3), and the radius is 6.
4)
The center is located at (1, 3), and the radius is 6.
(NO LINKS OR ABSURD ANSWERS)
Answer: 4) The center is located at (1, 3), and the radius is 6
Step-by-step explanation:
Solve the general equation of the circle.
x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2
Hence, the coordinates of the center (1,3) And the radius will be 6
The center is located at (1,3) and the radius is 6.
What is center of the circle?"The center is the point from which all of the points on the circle are the same distance."
What is radius of the circle?"The radius is the exact distance from the center to any point on the circle."
We have
[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]
Add 1 and 9 on both sides of equation
⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]
⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]
⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)
We know the Standard form of equation of the circle
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
By comparing the standard form and equation (1)
Center (h, k) = (1, 3) and radius is 6
Hence, The center is located at (1,3) and the radius is 6.
Learn more about circle here
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Describe the main parts of a proof? ..
Answer:
Answer Expert Verified
Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove
Answer:
Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
Step-by-step explanation:
Have the day you deserve :)
x/6 + 12 = 6
Please help me
Answer:
[tex]x=-36[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} +12=6[/tex]
[tex]\frac{-36}{6} +12=6[/tex]
[tex]-6+12=6[/tex]
Hence, x = -36
Answer:
X = -36
Step-by-step explanation:
x/6 + 12 = 6
-12 = -12
x/6 = -6
(6) = (6)
x = -36
Which grid shows only a translation of the shaded polygon to create the unshaded polygon?
A
B
C
D
A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.
Answer:
258.3 sq inches
Step-by-step explanation:
Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²
The diameter is 9.07 inches, so the radius is 4.535 inches.
Plug in 3.14 as pi and 4.535 as r, and solve:
SA = 4[tex]\pi[/tex]r²
SA = 4(3.14)(4.535)²
SA = 258.3
So, the surface area is approximately 258.3 sq inches
PLEASE HELP ME PLEASEEEEEEEEE HELP
Answer:
Step-by-step explanation:
x^2+4x+3
we need to factorise this
So (x+1)(x+3)
X=-1 x=-3
Hope that helps.
Can someone help? It's super urgent I need it solved!
Answer:
Y = +- √ x - 5
Step-by-step explanation:
1. write f (x) = x^2 +5 as an equation (y = x^2 + 5)
2. interchange the varibles (x = y^2 + 5)
3. Solve for Y
A messenger has 6 pouches and 30 coins. The total must be less than 102 coins
How would you write this inequality? What are some solutions?
Answer:
6x+30<102
0 ≤ x ≤ 12 gives all possible solutions for this problem.
Answer:
Your total would be 180 so with the extra you could donate or something like that
Step-by-step explanation:
I hope this helped:)
Method included please. Please someone answer ASAP
I will give anyone who can give me the right answer to the Brainist! I really need an answer!
Answer:
a. 49 ft (nearest ft)
b. 24.5 sec
Step-by-step explanation:
a. work out TOP
[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]
b.
[tex] \frac{49}{2} \\ = 24.5[/tex]
divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec
Answer:
49 feet
25 seconds
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
20² + 45² = c²
400 + 2,025 = c²
2425 = c²
Take the square root of both sides
c = 49.244289009
Rounded
49 feet
------------------------
time
t = 49 /2
t = 24.5 seconds
Rounded
25 seconds
One limitation of pre-operational thought is the belief that non-living objects have life-like qualities?
Answer:
Animism
Step-by-step explanation:
Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.
Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.
Answer:
<1
Step-by-step explanation:
Given a standard six-sided die, what is 1 point the probability of rolling a 2? Please use a fraction bar (/) OR a colon (:) to represent your answer.
Answer:
1/6
Step-by-step explanation:
We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)
well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.
Answer:
1/6
Step-by-step explanation:
There are six possible outcomes when rolling a die
1,2,3,4,5,6
P(rolling a 2) = number of outcomes that is a 2/ total outcomes
= 1/6
6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63
Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
Find the missing dimension of the prism. Round your answer to the nearest hundredth.
Volume = 72.66 in.?
Х
2 in.
Answer:
[tex]x = 6.99in[/tex]
Step-by-step explanation:
Given
[tex]l =2in[/tex]
[tex]Volume = 72.66in^3[/tex]
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]
This gives:
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]
[tex]Base\ Area= 3\sqrt 3 * 2[/tex]
[tex]Base\ Area= 6\sqrt 3[/tex]
Side x represents the height.
So, we have:
[tex]Volume = Base\ Area*x[/tex]
Make x the subject
[tex]x = \frac{Volume }{ Base\ Area}[/tex]
[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]
[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]
[tex]x = \frac{12.11}{\sqrt 3}in[/tex]
[tex]x = 6.99in[/tex] --- approximated
help me please i don't know what i'm doing please help
-9
9
Answer: -1/9
Step by step explanation:
The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:
1 8/9 - 2, which is equal to -1/9.
You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:
1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9
Jose measured a small granola bar in the shape of a rectagular prism. It was 5 mm tall, 50 mm long, and 30 mm wide. He stacked the 2 granola bars on top of each other. What is the colume fot he 2 stacked granola bars
Answer:
15,000 mm^3
Step-by-step explanation:
volume of the 2 stacked granola bars = volume of one granola bar x 2
volume of one granola bar = Volume of a prism = base area x height
5 x 55 x 30 x 2 = 15,000
A community gym charges a $50 fee membership and a $50 monthly fee. Workout gym charges a $170 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Answer:
12 months
Step-by-step explanation:
community gym = 50 + 50x
workout gym = 170 + 40x
you need to find out how many months it will take for them to be equal, so:
50+50x = 170+40x
solve for x
10x = 120
x = 12
after 12 months, they will cost the same
For two positive real numbers a and b, which may be equal, determine the smallest possible value of a/b + b/a
Determine a function a(w) that models the area of the top surface of the swimming pool in terms of the width , w
Answer:
[tex]A(w) = (40 - w) * w[/tex]
Step-by-step explanation:
Given
[tex]P = 80[/tex] ---- perimeter
Required
Write the area as a function of width
The perimeter of a rectangle is:
[tex]P =2(l + w)[/tex]
Where
[tex]l \to length\\ w \to width[/tex]
So, we have:
[tex]80 = 2*(l+w)[/tex]
Divide by 2
[tex]40 = l + w[/tex]
Make l the subject
[tex]l =40 - w[/tex]
The area of a rectangle is:
[tex]A = l * w[/tex]
Substitute: [tex]l =40 - w[/tex]
[tex]A = (40 - w) * w[/tex]
Hence, the function is:
[tex]A(w) = (40 - w) * w[/tex]
Finding the volume of the cone
Answer:
[tex]\frac{686\pi }{3}[/tex] or 718.3775
Step-by-step explanation:
Formula:
[tex]\pi r^2\frac{h}{3}[/tex]
we have
[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]
20 divided by 34 HEEEEELPPPPPPPPPPP
Answer:
0.58823529411
Answer:0.8
Step-by-step explanation:
A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard
props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to
the nearest tenth of a foot.
Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:
a. 17.0 ft.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].
Hence:
[tex]h^2 = 8^2 + 15^2[/tex]
[tex]h = \sqrt{8^2 + 15^2}[/tex]
h = 17.0 ft.
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The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did Paul's front wheel complete?
Answer: [tex]17,649[/tex]
Step-by-step explanation:
Given
The radius of the cycle is [tex]r=63\ cm[/tex]
Distance traveled by Paul is [tex]68.89\ km[/tex]
Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.
[tex]\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m[/tex]
No of revolution made by wheel
[tex]\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649[/tex]

PLS help me with this. And I am so sorry if im troubling you
Answer:
a=70 vertically opp angles
b=80 linear pair
c=100 corresponding angles
d= 80 linear pair with c
e= 180 -a-d
=180-70-80
=30
Help...................
Answer:
area=3.14 yd^2
Step-by-step explanation:
radius=diameter/2
=2/2
=1
area =π*r^2
=3.14&1
=3.14 yd^2
Answer:
3.14 yd^2
Step-by-step explanation:
First we need to find the radius
r = d/2 = 2/2 =1 yd
The area of a circle is given by
A = pi r^2
= 3.14 ( 1)^2
= 3.14 yd^2