Step-by-step explanation:
Using Pythagoras' Theorem,
Distance = sqrt[(0-3)² + (4-1)²]
= sqrt[(-3)² + 3²]
= sqrt18
= 4.24 units. (3)
any help is appreciated ❤️
Understanding:
[Q4] Slope intercept form is [tex]y=mx+b[/tex], where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).
[tex]y=mx+b\\1080=-45(0)+b\\b=1080[/tex]
Now, we can rewrite the equation as follows
[tex]y=-45x+1080[/tex]
[Q5] To find the y-intercept we simply replace every x value with a 0,
[tex]y=-45x+1080\\y=-45(0)+1080\\y=1080[/tex]
This means the y-intercept is at [tex](0,1080)[/tex].
For the x-intercept, you replace the y value with a 0 and solve for x,
[tex]y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24[/tex]
This means the x-intercept is at [tex](24,0)[/tex].
Solutions:
[Q4] [tex]y=-45x+1080[/tex]
[Q5] x-intercept: [tex]x=24[/tex]; y-intercept: [tex]y=1080[/tex]
[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.
What is the answer to 0.5x(y - z) in distributive Property?
Awnser this: 3x + 2 = 14
Answer:
x=4
Step-by-step explanation: Because 3 times 4 is 12 plus 2 is 14.
Answer:
x=4
Step-by-step explanation:
First, you have to subtract 2 from both sides of the equation to isolate the variable. Then the equation becomes 3x=12. Next, you have to do the opposite of multiplication, which is division, and divide by 3 on both sides of the equation. 3x divided by 3 cancels out. 12 divided by 3 is 4. Therefore, x=4.
Please help me please!
Answer:
(2) 19
Step-by-step explanation:
[tex]2(3^x)+1[/tex][tex]2(3^2)+1[/tex][tex]2(9)+1[/tex][tex]18+1[/tex][tex]19[/tex]A zoo has the ratio to zebras (1 giraffe for every 4 zebras) What percent of this grouping of animals are giraffes? What percent of this grouping are zebras?
Answer:
20% of the animals are giraffes
80% of the animals are zebras
=====================================
Explanation:
Let's say there are 5 animals. This would mean there's 1 giraffe and 4 zebras, since we have four zebras per giraffe.
The percentage of giraffes is 1/5 = 0.20 = 20%
and the percentage of zebras is 4/5 = 0.80 = 80%
The requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What are percentages?the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A zoo has the ratio to zebras (1 giraffe for every 4 zebras)
The total proportion of the zebras and giraffes = 5,
Percentage of giraffe = 1 / 5 × 100% = 20%
Percentage of zebras = 4 / 5 × 100% = 80%
Thus, the requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
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Can some one please help me i'll give brainliest..please actually answer all the questions. please don't not answer the right way!!!
1. List the ordered pairs for the graphed points.
Write your answer in the space below.
2. How many students were absent on day 3? Explain how you know.
Write your answer in the space below.
3. On which day were the greatest number of students absent? How many students were absent that day?
Write your answer in the space below.
4. Is the relation represented by the graph a function? Why or why not?
Write your answer in the space below.
Answer:
#1
(1,7) , (2,10) , (3,5) , (4,7) , (5,9)#2
5 students were absent on day 3#3
Day 2 had the greatest number of absent students. There were 10 absent students on that day.#4
The relation represented by the graph is a function. When performing the vertical line test, the vertical line does not intersect the graph more than once; therefore, it is a function.Step-by-step explanation:
Hope this helps
what is. the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?
Answer:
x=2
Step-by-step explanation:
We first distribute this. So we have 15x-10 = 10 + 6 +2x.
Then we move the variable to one side and have 13x= 10+10+6
Simplify to get 13x = 26.
x=2
Need help with 20-23 please. geometry
Answer:
20) 5X3=15 15h
21) 12X15=18 180
22) IDEK
23) IDEK
Step-by-step explanation:
The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
Step-by-step explanation:
First, find the slope using the two given points and the slope equation.
[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]
We can enter [tex]m[/tex] into our slope-intercept form now.
[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]
Now, plug in one of the given points to solve for b.
[tex]8=10+b\\b=-2[/tex]
So our final form is:
[tex]y=x-2[/tex]
Hope this helps!
The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
What is the general equation of a straight line?The general equation or the slope - intercept form of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a line such that points (10, 8) and (19, 17) lie on this line.
The given coordinates are (10, 8) and (19, 17).
First, we will find the slope of the line as follows -
m = (17 - 8)/(19 - 10)
m = 9/9
m = 1
So, the equation of the line will be -
y = x + c
Now, we will find the y - intercept. As the line pass through the point
(10, 8), we can write -
8 = 10 + c
c = 8 - 10
c = -2
So, the equation of the line will be y = x - 2.
Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
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Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile
Answer:
960
Step-by-step explanation:
I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.
Consider the speed 4/5 miles in 12 minutes to travel 2/8.
8 + 4 = 12, so you can replace that with 12 minutes.
Now, you can absolutely guess your question.
Time = 12 minutes.
Distance = x (Let x be distance)
Speed = 4/5.
Now, you find distance.
Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.
So 4/5 × 12, is 9.6.
In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.
Here is a pattern I found
2/5 divided by 4 is 1/10
4/5 divided by 8 is 1/10
If , we consider the given rates , we find that both rates are equivalent.
Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
We have to find out what they actually indicate.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Two rates are given which are ; 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
Let's find out what they are actually indicating.
So ;
If , distance travelled in 8 minutes = 4/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{4}{5*8}[/tex]
= [tex]\frac{4}{40}[/tex]
= 1 / 10 miles
and
If , distance travelled in 4 minutes = 2/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{2}{5*4}[/tex]
= [tex]\frac{2}{20}[/tex]
= 1 / 10 miles
So , we can conclude that both rates are equivalent.
Thus , if we , consider the given rates , we find that both rates are equivalent.
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Add the Fractions: Simplify if possible
10 1/3 + 1 2/3 =
Answer:
I believe the answer is 12
Answer:
the correct answer would be 12
Step-by-step explanation:
10 1/3 + 1 2/3
31/3 + 1 2/3
31/3 + 5/3
=12
Hope this helps, happy holidays!!
what is central and inscribed angle
Answer:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle.
Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.
Answer:
a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.
Step-by-step explanation:
Given
[tex]y = 70h + 100[/tex]
Required
Interpret
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex]
By comparison with [tex]y = 70h + 100[/tex]
[tex]m = 70[/tex]
i.e. He travels at 70 miles per hour
And
[tex]b = 100[/tex]
This represents the initial distance as at when he started travelling (12 noon)
i.e. At noon, he is 100 miles away from home
Answer:
A is the right answer.
Step-by-step explanation:
2 (x - 3) + x(x + 1)
Answer:
[tex]x^{2}[/tex] + 3 - 6
Step-by-step explanation:
Answer:
x2+3x-6
Step-by-step explanation:
Solve the compound inequality n+2≤−5 and n+6≥−6 .
Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5
Answer:
A. y=1/3x+1
Step-by-step explanation:
When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:
3=1/3*6+b
3=2+b
1=b
now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1
A= 12.8m
B=13.9m
C=12m
D= 7m
Answer:
C: 12m
Step-by-step explanation:
We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]
For this triangle
a= x b= 5 c= 13
We now have the equation
[tex]x^{2} + 5^{2} =13^{2}[/tex]
If we simplify this we get
[tex]x^{2} + 25 = 169[/tex]
Next, we subtract 25 from both sides
[tex]x^{2} = 144[/tex]
Finally, if we take the square root of both sides of the equation, we find that
x= 12
What’s the answer ?? The triangle says 84 degrees
Answer:
x = 48°
Step-by-step explanation:
x + x + 84° = 180°
2x = 180° - 84°
2x = 96°
x = 96°/2
x = 48°
Answer:
84+2a=180
2a=180-84
= 96
2a=96/2
=48
So, each angles are 48 degrees.
If my answer is wrong, please inbox me! ≧ω≦
Demons answer this for me.
Answer:
Step-by-step explanation:
if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.
then replace y by 40yd in the equation like
40 = 1.09x
x = 40/1.09 = 36.7 meters
so in a 40yd race, there are 36.7 meters.
HELP PLEASE AWARDING BRAINLIEST IF CORRECT
Answer:
y=1/4x+9
Step-by-step explanation:
x-4y=-36
add 4y to both sides to find x
x=4y−36
To find y=
add -x to both sides
−4y=−x−36
divide both sides by -4
y=mx+b
y=1/4x+9
what is the b in equation y=2x+12
Answer:
b = 12
Step-by-step explanation:
y = mx + b
b = 12
Answer:
the b is 12
Step-by-step explanation: y=mx+b
Lei’s favorite cereal comes in two box sizes. A 16-ounce box costs $3.20. The 32-ounce box costs $6.24. Which box is better to buy?
Answer:
The 32-ounce box
Step-by-step explanation:
The 16-ounce box costs $3.20 for every 16 ounces, but the 32-ounce box costs $3.12 for every 16 ounces. That means the 32-ounce box is a better deal by 8 cents.
Answer:
the big box is a better buy
Step-by-step explanation:
we have
$3.20 for 16ounce
and notice 32 is duble of 16 so to be equal price will be
$6.40 for 32ounce
yet is not is
$6.24 for 32ounce so the big box is less expensive
Lauren and her sister are buying their mom a watch for her birthday. The original price of the watch is $50, but the store is having a 25% off sale on watches. The sales tax in Lauren’s state is 6%.
How much will Lauren and her sister pay for the watch including tax?
What percent of the original price do Lauren and her sister pay for the watch, after paying tax?
Step-by-step explanation:
75×50/100= 37.5$
37.5×6/100=225/100=2.25$
37.5+2.25= 39.75$
The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is
closest to the perimeter of the shape? (The dashed line is not a part of the perimeter.
(1) 56.1
(2) 44.6
(3) 38.3
(4) 32.5
Answer:
The perimeter of the shape is 32.5
Step-by-step explanation:
Since the dashed line is not a perimeter,
we add the circumference of the circle plus the 3 sides of the rectangle
The circumference is of the half circle with its diameter being the opposite side of the rectangle
The opposite side is the length 10
So the radius is half of this which is 10/2 = 5
The circumference of the semicircle is thus;
pi * r = 22/7 * 5 = 15.71
full circle is 2 * pi * r
semi is half of full so we divide formula by 2
So let’s add up
15.71 + 10 + 3.4 + 3.4 = 32.51
If the perimeter of the triangle is 40 cm, find the area of the triangle.
The area of the triangle is, ? cm2.
Answer:
102 cm²Step-by-step explanation:
Perimeter is:
P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8Comparing the value:
8x - 8 = 40 8x = 48x = 8 cmAre formula:
A = 1/2ahReplacing values:
A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²Answer:
60cm²
Step-by-step explanation:
To find :-
The Area of the triangle .We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .
→ 2x - 4 +5x - 13 + x + 9 = 40cm .
→ 8x - 8 = 40cm
→ 8x = 40+8 cm
→ 8x = 48 cm
→ x = 6cm .
We know that the area of the triangle is half the product of base and height .
Base = x + 9 = 15cm Height = 2x -4 = 8cm .→ A = 1/2 × b × h
→ A = 1/2 × 8cm × 15cm
→ A = 60cm²
A bricklayer can build a wall of a certain size in 5 hours. Another bricklayer can do the same job in 4 hours. If the bricklayers work together, how long would it take to do the job?
a. 9h
b. 2(2/9)h
c. 20h
d. 4(1/2)h
Answer:
b
Step-by-step explanation:
It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.
What is a linear equation?A linear equation is an equation where the variable of the equation has the highest power of degree one.
Given, the 1st bricklayer build a complete wall of certain size in 5 hours.
Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.
Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.
Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.
If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.
Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.
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Can someone answer this for me ill give brainliest asap
nya wants to buy a sweater that had an original price of 55. the sweater is now discounted 20% and the sales tax rate is 5.5%. how much will nya pay for the swearter
Answer:
Step-by-step explanation:
55 - 20% = 44
5.5% of 44 = 2.42
2.42 + 44 = 46.42
hope this helps. :]
Hakim Ellison wants to buy a 4 door sport utility vehicle 4 wheel drive hybrid. There is an 8% sales tax on the purchase price of the SUV in his state. If he pays the full sticker price for the SUV, how much is the total?
Answer: $60401.16
Step-by-step explanation:
From the attached image, the total price for the vehicle = $55,927.
If he were to pay the full sticker price for the SUV, the total would sum up to
= $55,927 + 8% sales tax
= $55,927 + 8/100( $55,927)
= $55,927 + 0.08($55,927)
= $55,927 + $4474.16
= $60401.16
The total would sum up to $60401.16
HELP CORRECT AWNSER GET BRAINLIEST
Answer:
A 33 degrees
Step-by-step explanation:
[tex]x \degree = 180 \degree - (23 \degree + 124 \degree) \\ \\ x \degree = 180 \degree - 147 \degree\\ \\ x \degree = 33 \degree \\ \\ x = 33[/tex]
Answer:
A) 33
Step-by-step explanation:
the angles of a triangle always add up to 180.
124 + 23 + x = 180
combine like terms
147 + x = 180
147 + x - 147 = 180 - 147
x = 180 - 147
x = 33