Answer:
[tex]\boxed {\boxed {\sf 9.8}}[/tex]
Step-by-step explanation:
We are asked to find the distance between two points. We will calculate the distance using the following formula;
[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2[/tex]
In this formula, (x₁ , y₁) and (x₂ , y₂) are the 2 points. We are given the points (4,0) and (0,9). If we match the value and the corresponding variable, we see that:
x₁= 4 y₁= 0 x₂= 0 y₂= 9Substitute the values into the formula.
[tex]{d= \sqrt {(0-4)^2+(9-0)^2[/tex]
Solve inside the parentheses.
(0-4)= -4 (9-0)= 9[tex]d=\sqrt{(-4)^2+ (9)^2[/tex]
Solve the exponents. Remember that squaring a number is the same as multiplying it by itself.
(-4)²= -4*-4= 16 (9)²= 9*9= 81[tex]d= \sqrt{(16)+(81)[/tex]
Add.
[tex]d= \sqrt{97[/tex]
Take the square root of the number.
[tex]d=9.848857802[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 8 in the tenth place.
[tex]d\approx 9.8[/tex]
The distance between the two points (4,0) and (0,9) is approximately 9.8
Why are fractions difficult to teach and learn? Give 5 reasons.
Answer:
It is not hard
Step-by-step explanation:
•Once you get familiar with the lesson you understand it in a much easier way by doing problems pretty often
•If you want get more comfortable with it just search for a few questions in internet specifically educational platforms in schools like teachers
•But if your still confused you can always study it for free by byjus or vedantu and the best option in my opinion is ask your teacher to explain it once more
•It is very hard to solve questions if you are not freindly with the chapter
• Do not hesitate to ask questions if your doubting or anything you might face problems in higher grades with the topic
11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!
To find the solutions of quadratic equation, there are two ways to do which are:
FactorizeQuadratic FormulaStep 1
- Factor the expression.
To factor the expression, refer below:
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]
For bx and ax, both can be common-factored. Therefore
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]
From the above, we conclude that:
The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×bFrom the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30Then we replace the standard equation with factored form.
[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
[tex] \displaystyle \large{ x = - 5, 6}[/tex]
Therefore, the solutions are x = -5, 6.
5.4 - (9.5 - 8) - 2.5
(pls help and explain pls)
Answer:1.4
Step-by-step explanation:
what is 0.4 repeating written as a fraction
Answer:
0.4 as a fraction would be 2/5
Answer: 4/9
Step-by-step explanation:
Please help me with these questions if you have time
Answer:
Use the following formulas for the tables
Step-by-step explanation:
For the tables given bellow use these formulas for part 7 a and b
y2-y1 over x1-x1
that would give us the slope then plug that into y=mx+b
Answer:
7. a. y=5x+29
b. y=9x+4
l have answer question number 7a and 7b
What is the largest multiple of 4 that is less than 30 ?
Answer:
The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28
Determine the range of the following graph:
y
12
11
10
9
8
7
2
1
-12-11-10-9-8-7-6-5-4-3-2-11
1 2 3 4 5 6 7 8 9 10 11 12
- 2
-3
-4
-8
-9
-10
-11
-12
Answer:
r = (-4,9]
Step-by-step explanation:
hope this will help
Answer:
-4<y≤2
Step-by-step explanation:
The range of a graph is the range of the y values.
What is the least common multiple of 8, 17, and 14?
Answer:
952
Step-by-step explanation:
LCM(8,14) = (8 × 14) = (8 × 14) / 2 = 112 / 2 = 56
LCM(56,17) = (56 × 17)
= (56 × 17) / 1
= 952 / 1
= 952
Therefore,
LCM (Lowest common multiple) (8, 14, 17) = 952
Evaluate the expression 3(x^2-y) +4 if x=3 and y=2
f.) 16
g.) 25
h.) 29
j.) 33
Step-by-step explanat
(g) 3[(3)²-2]+4=3(9-2)=3×7=21+4=25
of the 420 students enrolled in basic math only 41% are first-year students. How many
are first-year students? How many are not?
Answer:
Step-by-step explanation:
There are 420 students.
41% are first year students.
41% = 41/100
420 * 41/100 = 172.4
What do you do about the 0.4? I would just round to the nearest whole number which is 172.
There are 420 - 172 = 248 who are not first year students.
Do the following graphs represent a mathematical function? If not, explain why.
Answer:
1 = Yes
2 = NO
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes for both.
Each value of x has only one image (an y value)
Which one of the following expressions represents the perimeter of a rectangle whose length is 18 meter and whose width is 9 meter
Answer:
Well since you didn't give any choices, I would say the simplest way to write it would be (18 + 9) x 2
If a = b, then a^2 = b^2
What is the proof of this statement?
Step-by-step explanation:
a²=b²
since a=b, therefore we can write a in place of b or b in place of a,
a²=a² or b²=b²
Hence, it is proved.
I hope it helped U
I hope it helped Ustay safe stay happy
Question 9 of 10 Which of the following is most likely the next step in the series? OA. O B. O C. O D.
Answer: B
Step-by-step explanation:
The most likely the next pattern in the series is 2 lines with red color. Therefore, option B is the correct answer.
What is pattern?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
From the given patterns
Figure 1 has 5 lines and it is blue in color.
Figure 2 has 4 lines and it is red in color.
Figure 3 has 3 lines and it is blue in color.
So, Figure 4 must has 2 lines and red in color.
Therefore, option B is the correct answer.
Learn more about the pattern here:
https://brainly.com/question/23136125.
#SPJ7
Milan sold an article for Rs 450 with a loss of 10%. Find his CP. At what price it should be sold so as to gain 5 %.
Pls-- help request!!
Evaluate using the order of operations. Show your work.
2. (30.6 +5.03) - 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{{2 (30.6 + 5.03) - 7}}}\\\huge\boxed{\mathsf{\rightarrow 2(\bold{35.63)}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bold{71.26}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bf = 64.26}}\\\huge\boxed{\huge\text{Therefore, your answer is: \bf 64.24}}[/tex]
[tex]\huge\text{\text{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
0.5
Step-by-step explanation:
2.30 divided by 4.5 = 0.5
please enjoy your day <3
(Urgent please!!) Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary. Use the /key to represent a fraction bar. Do not put spaces in your answer
Answer:
-5/4
Step-by-step explanation:
C is at the point (2,3) and D is at the point (6,-2)
-2-3 = -5 which would be the top part and 6-2=4 and that's the bottom part.
define complementary angle
Answer:
Complementary angles are 2 angles whose sum is 90 (ex 35° and 55°)
Step-by-step explanation:
complenentary angles are the pair angles with the sum of 90°
which equation shows the valur of -2/5- (-9/15)
Answer:
3/15
Step-by-step explanation:
-2/5=-6/15
(-6-(-9))/15=(-6+9)/15=3/15
Find the differential of the function w=x^(4)sin(y^(4)z^3)
Step-by-step explanation:
[tex]w = x^4\sin(y^4z^3)[/tex]
The differential [tex]dw[/tex] is
[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
3. Solve and plot your answer on the number line below:
9.28 + 2x = 18.14
Step by step
1.47- 1.56 please
Mark brainliest!!
Answer:
0.09
Step-by-step explanation:
Doanh thu công ty ABC năm hiện tại 6.500 triệu USD, doanh lợi tiêu thụ (ROS) 8%. Dự kiến trích 8% lợi nhuận sau thuế chia cổ tức cho các cổ đông. Xác định lợi nhuận để lại của công ty ABC?
Answer:
ill answer if u can make it english
Step-by-step explanation:
helpppp!!!!!!!!!!!!!!!!!!!!!
Answer:
Below
Step-by-step explanation:
DO=15
OB=3x+7
DB=9x-2
O is between D and B
So,
OB+DO=DB
or, 9x-2+3x+7=15
or, 12x=15-5
or, x=10/12
Thus, x=5/6
Sorry for my bad handwriting
Answer:
No it is good
Step-by-step explanation:
I like it. good luck
Answer:
Rs 18.30
Step-by-step explanation:
100-(25.75+20.50+35.45)=100-81.70=Rs18.30
Find and simplify the expression if f(x)=x^2-1.
f(x-3)
Answer:
Step-by-step explanation:
f(x)=x²-1
f(x-3)=(x-3)²-1
=x²-6x+9-1
=x²-6x+8
Help finding the sketch of a graph pls i’ll rate brainliest
Answer:
A
Step-by-step explanation:
X^3+1
Y int = 1
X int = -1
We can clearly see that the x int(when y = 0) for c = -3 so C is incorrect.
b is wrong because it's a quadratic(ax^2+bx+c) and d wrong because it linear(y=mx+c).
Knowing all this we can safely say that A is the correct answer choice.
Answer:
we firstly need to find x intercept and y intercept
Sam hits a golf ball from a elevated tee
First take a derivative,
[tex]\frac{d}{dx}-5t^2+10t+30=-10t+10=-10(t-1)[/tex]
Now compute the critical point where the slope is 0,
[tex]-10(t-1)=0\implies t-1=0\implies t=1[/tex]
And done.
The maximum height is at [tex]t=1[/tex] of [tex]h(1)=-5+10+30=35[/tex].
Hope this helps :)
15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies.
Answer:
S.P = 225
Explanation:
Cost Price = 20 copies for Rs. 25
Selling price = 20 copies for ?
Profit = Rs. 200
Profit = S.P -C.P
Profit + C.P = S.P
200 + 25 = S.P
225 = S.P