The slope of the line represented by this equation is 4/5.
We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).
This equation is in slope-intercept form, or
y = mx + b where m is the slope and b is the y-intercept. The number in the m position in our equation is 4/5, so the slope is 4/5
Hope this helps!
please mark me brainliest!
What number should be removed from the list {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13} so that the mean of the remaining numbers is 7.25?
Answer:
4 should be removed
Step-by-step explanation:
Just do a process of elimination and work through the numbers. [tex]\frac{1+2+3+5+6+7+8+9+10+11+12+13}{12} = 7.25[/tex]
If x= (√3+√2)/(√3-√2) , then find x+1/x
Answer:
[tex]6-2\sqrt{6}[/tex]
Step-by-step explanation:
[tex]x=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]
[tex]x= \frac{\left(\sqrt{3}+\sqrt{2}\right)\left(\sqrt{3}+\sqrt{2}\right)}{\left(\sqrt{3}-\sqrt{2}\right)\left(\sqrt{3}+\sqrt{2}\right)}[/tex]
[tex]x=\frac{5+2\sqrt{6}}{1}[/tex]
[tex]x=5+2\sqrt{6}[/tex]
Substitute [tex]5+2\sqrt{6}[/tex] for [tex]x[/tex].
[tex]\frac{x+1}{x}[/tex]
[tex]\frac{5+2\sqrt{6}+1}{5+2\sqrt{6}}[/tex]
[tex]\frac{6+2\sqrt{6}}{5+2\sqrt{6}}[/tex]
[tex]\frac{\left(6+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]
[tex]\frac{6-2\sqrt{6}}{1}[/tex]
[tex]6-2\sqrt{6}[/tex]
Which statement illustrates the distributive property? A.3 (4 + 5) = 3 (4) + 5 B. 3 (4 + 5) = 3 (4) + 3 (5) C.3 [(4) (5)] = 3 (4) + 3 (5) D.3 [(4) (5)] = [ 3 (4)] + [ 3 (5)]
Answer:
B. 3(4+5) = 3(4) + 3(5)
Step-by-step explanation:
with distributive property, you multiply the number outside the parentheses to all of the numbers inside.
Answer:
it is B
Step-by-step explanation:
i did the test
Share £10 in the ratio of 2:3 ASAPP!!!!!!!!!!!!
Answer:
£4 and £6
Step-by-step explanation:
Total = £10
Ratio = 2:3
Total Parts = 2+3 = 5
Divide it by the Total
=> 10/5 = £2
Multiply it by the ratios
1) 2 * 2 = £4
2) 3 *2 = £6
Answer:
4:6
Step-by-step explanation:
2+3=5
10/5=2
3x2= 6
2x2=4
4:6
Ima have 7 questions if you answer all of them your a saint
Answer:
79/90
Step-by-step explanation:
if u have a scientific calculator just type in 0.8 then spam the 7 then equal then it should come up with a fraction
8. Graph the function
Answer:
Last option is the correct choice.
Step-by-step explanation:
See the attachment below.
Best Regards!
simplify y=(x+1)^2-blank
Answer:
[tex]y=x^2+1[/tex]
Step-by-step explanation:
When simplifying [tex]y=(x+1)^2[/tex] we have to take notice of the square and what it means.
When squaring a number it means multiplying the same number twice for example [tex]2^2[/tex] is 2*2 which is 4.
This is the same for [tex](x+1)^2[/tex] we multiply [tex](x+1)[/tex] twice.
So [tex](x+1)* (x+1)[/tex] is [tex]x^2 +1[/tex]. The 1 stays the same because 1*1 is just one where are x*x is [tex]x^2[/tex].
So the answer is [tex]y=x^2+1[/tex]
edge 2023
= (x + 1)^2 − 2
What is the value of x in this proportion?
Answer:
x=6Solution,
[tex] \frac{4}{x} = \frac{6}{9 } \\ or \: 6 \times x = 4 \times 9(cross \: multiplication) \\ or \: 6x = 36 \\ or \: x = \frac{36}{6} \\ x = 6[/tex]
hope this helps..
Good luck on your assignment...
Answer:
X = 6
Step-by-step explanation:
Cross Multiplication
We can go about this 1 of 2 ways we can either cross multiply or divide across the numerators and denominators. Let's cross multiply. We would 4*9 = 6x. Which would simplify down to 36 = 6x. We would then divide the 6 on each sides of the equation to get 6 = X.
Dividing Across
The other way we can go about it is by seeing what 4 had to be multiplied by to get to 6. We do this by dividing 6 by for which gets us 3/2 or 1.5. Now that we know this we would then divide 9 by 3/2 or 1.5 to get the answer of 6.
List the corresponding congruent sides of the two triangles, and state whether there's enough information to use SSS to prove the triangles congruent. answers: A) Yes, the triangles are congruent by SSS. ≅ , ≅ , ≅ B) Yes, the triangles are congruent by SSS. ≅ , ≅ , ≅ C) No, the triangles aren't congruent by SSS. ∠F ≅ ∠A, ≅ D) No, the triangles aren't congruent by SSS. ≅ , ≅
Answer: B
Step-by-step explanation:
the answer here would be B
At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
10% of the people at the picnic are neither.
Step-by-step explanation:
To get the answer,
1/2 + 2/5 = 9/10
10/10 - 9/10 = 1/10
1/10 = 10%
Thanks, I hope I got this right!
AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
C
12 cm
55°
А
D
B 6 cm
Answer:
12.7 cm
Step-by-step explanation:
Pythagoras theorem
c²=a²+b²
12²=6²+b²
144=36+b²
minus 36 on both sides
108=b²
then square root on both sides
b=10.4
wait I'm not done
then we use the sin rule which is
sinx=O
--
H
so
sin(55)=10.4 over H
cross multiply
10.4 over sin 55 which equals 12.7
Answer this problem 6/7×1/2 =
The value of the equation is A = 3/7
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be represented as p
The value of p = 6/7
Let the second number be represented as q
The value of q = 1/2
The value of A = p x q
Substituting the values in the equation , we get
A = ( 6/7 ) x ( 1/2 )
On simplifying the equation , we get
A = ( 6/14 )
Divide by 2 on numerator and denominator , we get
A = 3/7
Therefore , the value of A is 3/7
Hence , the equation is A = 3/7
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please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
Option B is the correct answer.
Step-by-step explanation:
B= {- 5, - 4.5, - 3}
Find all negative terms of the arithmetic sequence for which the nth term = 20n−78.
Answer:
-58, -38, -18
Step-by-step explanation:
if for the nth term, the value is 20n-78, then for the 1st term, the value will be 20(1)-78
So we just need to use this formula for every term, starting from the 1st, until the value is no longer negative
20(1)-78 = 20-78= -58
20(2)-78 = 40-78= -38
20(3)-78 = 60-78= -18
20(4)-78 = 80-78= 2
so those are the only negative terms
cya at RSM today
The answers are -58, -38, -18.
if for the nth term, the value is 20n-78,
then for the 1st term will be 20(1)-78
the formula for every term, starting from the 1st, until the value is no longer negative
20(1)-78 = 20-78= -58
20(2)-78 = 40-78= -38
20(3)-78 = 60-78= -18
20(4)-78 = 80-78= 2
What if the arithmetic sequence is negative?If the common difference between consecutive terms is positive, we say that the sequence is increasing. On the other hand, when the difference is negative we say that the sequence is decreasing.
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HURRY!!!!! For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 16 degrees a. 0.28 units c. 0.56 units b. 0.14 units d. 16 units
Answer:
c. (-0.82, -0.57)
Step-by-step explanation:
The distance traveled along the unit circle from the point (1, 0) is 3.80 units.
We have given that,
The unit circle from the point (1, 0).
The radius of the unit circle = 1
How to convert degrees into radian?multiply θ by π/180°
Thereforewe get,
θ = 218° × π/180°
θ= 109π/90 radians
arc length = rθ = 109π/90 = 3.80 units.
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Solve the two-step equation. 5.1 = –3x – 4.2 1. Add 4.2 to both sides. 2. Divide both sides by -3. The solution is x = _________.
Answer:
5.1 = -3x - 4.2
-3x - 4.2 = 5.1
-3x = 5.1 + 4.2
-3x = 9.3
x = 9.3/-3
x = -3.1
Answer:
-3.1 =x
Step-by-step explanation:
5.1 = –3x – 4.2
Add 4.2 to each side
5.1+4.2 = –3x – 4.2+4.2
9.3 = -3x
Divide each side by -3
9.3 / -3 = -3x/-3
-3.1 =x
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
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Help I’ve been struggling with this pls
Answer:
Step-by-step explanation:
Since the triangles are congruent, corresponding angles are also congruent.
So,
2x + 31 = 7x -24
Subtract 2x from both sides
31 = 5x - 24
Add 24 from both sides:
55 = 5x
x = 11
Answer:
x=11
Step-by-step explanation:
Help ? I’m really bad at math !
Answer:
<b = 23°
Step-by-step explanation:
<a and <b are complementary so they add up to 90
<a + <b = 90
Where <a = 67
67 + <b = 90
<b = 90 - 67
<b = 23°
Answer:
∠b=23°
Step-by-step explanation:
∠a+∠b=90°
67°+∠b=90°
Subtract 67° from both sides
∠b=23°
You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, your friend gets a point. However, you get a point if either one of the sums listed below is rolled. Which pair of numbers would make the game fair? 12 and 8 12 and 10 2 and 5 2 and 12
Answer:
12 and 8
Step-by-step explanation:
The following 6 outcomes add 7: {1, 6}, {2,5}, {3,4}, {4,3}, {5,2} and {6,1}
The following 1 outcome adds 12: {6, 6}
The following 5 outcomes add 8: {2,6}, {3,5}, {4,4}, {5,3} and {6,2}
Therefore the pair 12 and 8 would make the game fair, because both players have 6 favourable outcomes
Please help meh!!!!!!!!!!!!!!!! !
Answer:
70/100
0.7
70%
Step-by-step explanation:
fraction: 70/100 or 7/10
decimal: 0.7
percent: 70%
Which congruence statement correctly compares the two triangles shown? answers: A) ΔBCD ≅ ΔMKL B) ΔCBD ≅ ΔKLM C) ΔDCB ≅ ΔMLK D) ΔBCD ≅ ΔMLK
Answer: A) ΔBCD ≅ ΔMKL
Step-by-step explanation:
In the given picture, it can be seen that
In Δ BCD and ΔMKL
∠B = ∠M
∠C = ∠K
∠D = ∠L
So, corresponding angles are equal.
Also,
segment BD = segment ML
segment DC = segment KL
segment BC = segment MK
So by using SSS (Side-Side-Side) postulate of congruence, we have
ΔBCD ≅ ΔMKL
Hence, the correct option is A) ΔBCD ≅ ΔMKL.
SSS (Side-Side-Side) postulate of congruence says that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruentAnswer:
A) ΔBCD ≅ ΔMKL
Step-by-step explanation:
Satnam is making a cake. He uses a batter made of 350 g of
dry ingredients. If the liquid has to be two sevenths of the
total weight of the batter, how much liquid should he add?
.
g
Answer:
Satnam should use 100g of luqid ingerdients.
Step-by-step explanation:
If the batter is 350g and the liquid amount has to be 2/7 of the total weight of the batter than you would take 350 and divide it by 7, wich you would get 50, and that would be 1/7 of the 350; then if 50 is 1/7 then 100 would be 2/7 because you're doubling it.
How can her partial solution be interpreted? The equation has one solution: x = 0. The equation has one solution: x = 8. The equation has no solution. The equation has infinite solutions.
Answer:
The equation has no solution
Step-by-step explanation:
The following information is missing:
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11.
Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
This means that the equation has no solution, because if we simplify her last term, we get:
-4 = 4
wich has no sense. In other words, there is no x value which satisfy:
3x – 4 = 3x + 4
Answer: C on edg;)
Step-by-step explanation:
What is the end behavior of the function f(x)=54x3? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞
Answer:
As x→∞, f(x)→∞ is correct, also As x→−∞, f(x)→−∞.
Step-by-step explanation:
This function is a simple modification of the basic function y = x^3, which goes to infinity in Quadrant I as x increases, and to negative infinity in Quadrant II as x decreases. As x→∞, f(x)→∞ is correct, also As x→−∞, f(x)→−∞.
The same end behavior applies to f(x) = 54x^3.
Plz solve for x; Geometry
Answer:
48°
Step-by-step explanation:
Overall, it's 360°. If you add 90° (the right triangle), x°, x°, 2x, 30°, and x° you will get 5x + 120. Subtract 120 from 360, and you will get 240. Once you get 240, you divide by 5, to solve for x.
Answer:
x = 60 Degrees
Step-by-step explanation:
Using the vertical angle theorem -->
we can conclude Ang. COB = Ang. AOD -->
Convert into an equation -->
30 + 2x = 90 + x
Combine like terms and solve
2x = 60 + x
x = 60
--> thus, x is equal to 60 degrees
Hope this helps!
can i get help please?? :) As the science teacher explained how the cells doubled, Emma felt frustrated. To help Emma understand, the teacher compared the cells to using exponents in math. The first stage is 21 = 2; the second stage is 22 = 4 and the pattern continues. How many cells there will be on the 5th stage? A. 5 B. 10 C. 32 D. 64
The 10th cells there will be on 5th stage is 10.
We have given that,
The science teacher explained how the cells doubled, Emma felt frustrated.
To help Emma understand, the teacher compared the cells to using exponents in math.
The first stage is 21 = 2; the second stage is 22 = 4 and the pattern continues.
What is the exponent?
An exponent refers to the number of times a number is multiplied by itself.
We have to determine how many cells there will be on the 5th stage
Therefore for the 10th cells there will be on 5th stage is 10.
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The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c=5/9(F-32). Write a compound Inequality to determine the Fahrenheit temperature range at which the antreze protects the car.
Answer:
I think it's B. 5/9(F -32) < 140
Step-by-step explanation:
A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are N = 50 people in a club.
The position of President is open. And there are x = 4 members running for he post of President.
So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has x = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = n × x
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.
Dog Food Prices
Bag Size (lb) Price ($)
30
49.00
22
32.36
8
10.23
What is the cost per pound of the 22 pound bag? Answers are rounded to the nearest hundredth.
1.47
1.67
1.77
1.87
Answer:
1.80
Step-by-step explanation:
Answer:
$1.47 per pound
Step-by-step explanation:
The 22 pound bag of dog food costs $32.36. We want to find the cost per pound, or the unit rate for the 22 pound bag.
Therefore, we must divide the cost by the number of pounds.
cost/pounds
cost= $32.36
pounds= 22 lbs
$32.36/22 lbs
Divide 32.36 by 22
$1.4709090....
Round to the nearest cent, or hundredth. The 0 in the thousandths place indicates we should leave the 7 in the hundredth place.
$1.47
The 22 pound bag of dog good costs $1.47 per pound.
