Answer:
y= 3x +4
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient and c is the y-intercept.
To find the value of m, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Gradient
[tex] = \frac{4 - ( - 8)}{0 - ( - 4)} \\ = \frac{4 + 8}{0 + 4} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation.
y= 3x +c
To find the value of c, substitute a coordinate.
When x=0, y=4,
4= 3(0) +c
c=4
Thus, the equation of the line is y= 3x +4.
Two roots of a third degree polynomial function f(x) are -4 and 4. Which statement describes th
roots for this function?
f(x) has three complex roots.
f(x) has three real roots.
f(x) has two real roots and two complex roots.
Of(x) has three real roots and one complex root.
Answer:
f(x) has 3 real roots
Step-by-step explanation:
According to the Fundamental theorem of Algebra.
A polynomial of degree n has n roots, which can be real or complex or both.
Thus a polynomial of degree 3 has 3 roots.
Two real roots are given
Complex roots occur in conjugate pairs, thus there cannot be an odd number of complex roots.
Thus f(x) has three real roots.
Answer:
B
Step-by-step explanation:
Edge
Maria mows 2/3 of a lawn in 1/5 hour. How Many similar-sized lawns can she mow in 1 hour?
Answer:
Hey mate,
In one hour = 2/3/1/5
= 10/3 lawn
Hope this helps you out!
Step-by-step explanation:
Answer:
10/3
Step-by-step explanation:
Which equation represents f(x) f(x)=^3 square root of x+6+1 f(x)=^3 square root of x-6+1 f(x)=^3 square root of x+6-1 f(x)=^3 square root of x-6-1 HELP!!!
Answer:
First answer, F(x) = Cuberoot (x+6) + 1
Step-by-step explanation:
Graphing Calculator
Hope this helps!
Cable car travels from the village up to a resort on the top of a mountain. When a cable car has traveled 150 feet along the cable, it is 100 feet above the ground. The total distance the cable car must travel to reach resort is 12,000 feet. How high is the mountain?
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
8000 feet
Step-by-step explanation:
Assuming that the cable is a straight line,
it has to travel the the 80-fold of what it already did, and goes up the 80-fold.
Proofing this by calculating it could be done like this: 100 * (12.000/150)
= 100 * 80
(would really, reallly appreciate the brainliest)
Answer:
8,000
Step-by-step explanation:
M is a point on line segment KL. NM is a line segment. Select all the equations that represent the relationship between the measures of the angles in the figure.
A. a=b
B. a+b=90
C. b=90−a
D. a+b=180
E. 180−a=b
F. 180=b−a
Please help me now
The equations that represent the relationship between the measure of the angles in the figure are:
D. a+b=180
E. 180-a=b
Measure of angleThe measure of the angle of a straight line is 180 degrees.
How to find the equations?In the given figure, KL is a straight line segment.
This means that the measurement of the angles of KL is 180 degrees.
This implies that,
[tex]a^{\circ}+b^{\circ}=180^{\circ}\\[/tex]
Or
[tex]180^{\circ}-a^{\circ}=b^{\circ}[/tex]
So, the equations will be:
D. a+b=180
E. 180-a=b
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Jivesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is
the height of the rocket in centimeters, and the rocket was fired from the ground at time t = 0, where t is
measured in seconds.
Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h =-81012+1,980t.
When is the height of the Model B rocket 1,210 centimeters? Round your answers to the nearest
hundredth.
After how t “” seconds, the rocket will have reached a height of 1,210 centimeters
Answer:
1.22 s
Step-by-step explanation:
h = -810t² + 1980t
This is the equation of a parabola.
We must solve the equation to find the maximum height (h).
The coefficient of x² is negative, so the parabola opens downward, and the vertex is a maximum.
One way to solve this problem is to convert the equation to the vertex form.
We do that by completing the square.
Calculation:
h = -810t² + 1980t
Divide both sides by -810 to make the coefficient of t² equal to 1.
(-1/810)h = t² - (22/9)t
Square half the coefficient of t
(-11/9)² = 121/81
Add and subtract it on the right-hand side
(-1/810)h = t² - (22/9)t + 121/81 - 121/81
Write the first three terms as the square of a binomial
(-1/810)h = (t - ¹¹/₉)² -121/81
Multiply both sides by -810
h = -810(t - ¹¹/₉)² + 1210
You have converted your equation to the vertex form of a parabola:
y = a(t - h)² + k = 0,
where (h, k) is the vertex.
h = ¹¹/₉ and k = 1210, so the vertex is at (¹¹/₉, 2100).
The maximum height of the rocket is 2100 cm.
After ¹¹/₉ s ≈ 1.22 s, the rocket will have reached a height of 1210 cm.
The graph below shows the rocket reaching 1210 cm at 1.22 s.
A 26 ft ladder leans against a wall. The bottom of the ladder is 10 ft from the wall. How tall is the top of the ladder on the wall?
Answer:
It is going to be 16 ft because
26 ft - 10 ft = 16 ft
can u mark me brainliest plz
Answer:
the top of the ladder is at 24 feet from the ground
Step-by-step explanation:
Use the Pythagorean theorem to solve for the unknown, since we notice that the ladder is the hypotenuse of a right angle triangle formed by the horizontal distance from the wall to the base of the ladder, and the height of the top of the ladder against the wall. We need to find one of the triangle's sides given its hypotenuse and the other side, so we use the formula:
[tex]side_2=\sqrt{hyp^2-side_1^2}\\ side_2=\sqrt{26^2-10^2} \\side_2=\sqrt{676-100} \\side_2=\sqrt{576} \\side_2=24\,\,ft[/tex]
What value is equivalent to the product of 4sqrt(2) and 2 sqrt 6^ ?
Answer:
1. [tex]16\sqrt{3}[/tex]
Step-by-step explanation:
[tex]4\sqrt{2}*2\sqrt{6} =4*2\sqrt{2*6} =8\sqrt{12} = 8*2\sqrt{3} = 16\sqrt{3}.[/tex]
The multiplication or product of the two numbers 4√2 and 2√6 is 16√3 option (1) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have two numbers:
4√2 and 2√6
From the arithmetic operation we can multiply two numbers:
= 4√2x2√6
Here sign x represents the multiplication.
As we know, the number expression can be defined as the combination of constants and variables with mathematical operators.
√2x√6 = √(2x6) = √12
√12 = √(2x2x3)
√12 = 2√3
= 4√2x2√6
= 4x2√(2x6)
= 8√12
= 8(2√3)
= 16√3
Thus, the multiplication or product of the two numbers 4√2 and 2√6 is 16√3 option (1) is correct.
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help help help help help help help
Answer:
6x²+11x-3
Step-by-step explanation:
5x²+2x+x²+9x-3=
6x²+11x-3
You can't put the x² and x together since you don't know what x is.
Add terms that have only x together and terms that only have x² together and terms that have neither x or x²
5x to the second power with x to the second power
2x with 9x
3 is by its self
Please answer correctly !!!! Will mark brainliest !!!!!!
Answer:
h(r) = 6(r+1)+10
Step-by-step explanation:
Just solve for q. Because that's the output. h(r) = q
Answer: 6r+16
Step-by-step explanation: All you need to do is to simplify the equation q-10=6(r+1) It becomes q-10=6r+6. You then add 10 on both sides, resulting q=6r+16.
what is the surface area of this wedge
Answer:
84 ft
Step-by-step explanation:
triangle= 1/2bh
rectangle or square = bh
so 1/2(4)3=6
6 times 3= 18
1/2(4)3= 6
4 times 6 = 24
5 times 6 = 30
now you add them all up
6 + 18 + 6+ 24+ 30 =
The Surface area of this wedge is 84 square ft.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area.
To find the Surface are we will find the area of each part individually.
We have two triangle and 3 rectangles.
So, area of Triangle
= 1/2 b h
= 1/2 x 4 x3
= 6 square ft
Area of rectangle
= l w
= 6 x 3
= 18 square ft
Area of 2 rectangle
= l w
= 4 x 6
= 24 square ft
and, area of 3rd rectangle
= 5 x 6
= 30 square ft
So, the Surface area of Figure is
= 6 + 18 + 6 + 24 + 30
= 84 square ft
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Find the value of b rounded to the nearest tenth
Answer:
You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.
The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.
180° - 76° - 66° = 38°
Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.
sin 76° sin 38°
----------- = -----------
b 3
Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.
3 * sin 76° = b * sin 38°
b = 3 * sin 76° 3 * 0.56611 1.69832
--------------- = --------------- = ---------------- = 5.73044
sin 38° 0.29636 0.29636
To the nearest tenth, b - 5.7 units.
Step-by-step explanation:
google hope this helps
What is the equation for the asymptote of the following function?
F(x)= -2^-x + 5
Answer:
y=5
Step-by-step explanation:
Carolyn makes and sells necklaces. The material to make each neckalce costs $3.20. She has 12 necklaces to sell and wants to make a total profit of $54. The following equation describes the situation. 12 (x minus 3.20) = 54 Carolyn found that x = 7.7 and determined that she will make a profit of $7.70 on each necklace . Which error did Carolyn make? The solution means that she should charge $7.70 for each necklace. The solution means that each necklace costs $7.70 to make. The solution to the equation is not x = 7.7. Carolyn did not distribute the parentheses when solving.
Answer:
A
Step-by-step explanation:
Answer:
It's A.
Step-by-step explanation:
-3.6 ÷ (-60) = 0.06
TrueFalse
Answer:
Step-by-step explanation:
True
Please solve questions 15 to 17
Choose correct answer
WILL GIVE LOTS OF POINTS IF SOLVED CORRECTLY AND ASAP!!!!
ALSO WILL MARK BRANLIEST
15.A
16.D
17.B
Step-by-step explanation:
if you put it on a graph it works for all
What is the common ratio of the following sequence?
-5, -20, -80,...
Answer:
Multiply by 4
Step-by-step explanation:
The next number would be -320
Simplify the expression using positive exponents: (6^4)3
Answer:3888
Step-by-step explanation:
(6^4)3
=1296*3=3888
Hope I helped
Evaluate 3(a+b) for a=− 1/2 and b=2 1/2 . Record the answer in the simplest way.
Answer: 3(1/2 + 2 1/2) = 3(1/2+5/2) = 3(6/2) = 3*3 = 9
Step-by-step explanation:
Step-by-step explanation:
[tex]3(a+b)[/tex]
Since we know that a equals -1/2 and b equals 2 1/2, then we can plug in the values into the equation.
[tex]3(-\frac{1}{2} +2 \frac{1}{2} )[/tex]
First, solve everything in the parentheses.
[tex]3(2)[/tex]
Now, multiply 3 by 2.
[tex]3*2=6[/tex]
So, your answer will be 6.
A food worker needs to cool a large pot of soup.
How should the food worker cool the soup?
Answer:
1) The worker can keep the soup in a container with a large surface area as evaporation will occur faster
2) The worker and keep the soup near a fan, cooling the soup
3) The worker keep the soup in a dry area as moisture reduces the rate of evaporation
HELP!
This pattern follows the rule add 24. What other features do you observe?
12, 36, 60, 84
A. All terms are even because even + even = even.
B. All terms are even because odd + odd = even.
C. All terms are odd because odd + even = odd.
D. All terms are even because when you add two numbers together, the sums are always even.
Answer:
A.
Step-by-step explanation:
All terms are even. This means it either has to be A. or B. Since 24 is an even number, two even numbers are always added together. So A. is the correct answer.
Answer:
A.
any number even + even = even
10 + 14 = 24 and 24 is even
12+24=36 which is even
Odd + odd does = even but it doesn't represent the situation so it is wrong.
Step-by-step explanation:
The table shown below gives the estimated number of text messages sent in the U.S. by year. Approximately how many times as many text messages were sent in the U.S. in 2011 as in 2005
The correct answer should be A.
First consider that 2357/1180 is around 2. So the first part must have the answer of times 2. Then decide how many zeroes must be added. By simple math if you do 118,000,000,000 * 20 (which is ) then you get 2,360,000,000,000. which is roughly the correct number.
The correct answer should be A.
First, consider that 2357/1180 is around 2.
What is the estimated number?Estimation is the process of finding the number which is close enough to the exact solution. But it is not an exact answer.
So the first part must have the answer of times 2.
Then decide how many zeroes must be added. By simple math if you do 118,000,000,000 * 20.
Then you get 2,360,000,000,000.
which is roughly the correct number.
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The average of five numbers is 27. Four of the five numbers are 48, 8, 43, and 10. What is the other number?
What fraction of 49 is 28 ?
Find the area and the perimeter of a rectangle with corner points at (3,-2), (7,-2), (7,3), and (3,3). Dimensions are in centimeters.
Look at the attached picture
Hope it will help you
Good luck on your assignment
What is 450 decreased by 25%
Answer:
337.5
Step-by-step explanation:
450 - 25% × 450 =
(1 - 25%) × 450 =
(100% - 25%) × 450 =
75% × 450 =
75 ÷ 100 × 450 =
75 × 450 ÷ 100 =
33,750 ÷ 100 =
so the correct answer would be, 337.5
What percentage increase occurs in the price of a round-trip economy plane ticket from New York to London by electing to go first-class as opposed to going on the regular economy class?
Answer:
71.1%
Step-by-step explanation:
Becky bought a magazine for $3.68, and the sales tax was 8.25%. How much sales tax did Becky pay on the magazine?
Answer:
$0.30
Step-by-step explanation:
3.68*.0825= .3036
Determine if the statement below is: always true, sometimes true, or never true.
A jar contains only red candy–coated chocolates and green candy–coated chocolates. If the
probability of randomly choosing a red candy–coated chocolate is x, then the probability of
randomly choosing a green candy–coated chocolate is 1 – x.
Answer:
That is sometimes true because there might be more green than red
Step-by-step explanation:
Help!!I hate math with a passion plz help!due today
Answer:
Step-by-step explanation:
1.. What is a Staff?
2. Define the word Tempo (Music term)?
3.. What is a whole note?
4. What are the notes in a C scale?
5. What is another name for a treble clef?
6. What is a Solfege and the words that make up the solfege scale?
7. What is time signature?
1. Is a set if 5 horizontal lines and four spaces that each represent a diff musical pitch.
2. Temp is the speed at which a passage of music is or should be played.
3. A note have the time value of two minims or four crotchets, represented by a ring with no stem.
4. C, D, E, F, G, A, and B
5. Bass clefs
6. Is a system where very note of a scale is given its own unique syllabe, which is used to sing that note every time it appears. The words that are making Solfege are: Do, Re, Mi, Fa, Sol, La, Ti, and Do.
7. The time signature is a national convention use in Western musical notation to specify how many beats (pulses) are contained in each measure, and which note value is equivalent to a beat.
WILL MARK BRAINLIEST IF U ANSWER CORRECTLY
Answer:
265.68
Step-by-step explanation:
ok so the area for the rectangle is 228
the area for the circle is 37.68
you add them together to get your answer
hope this helps