Answer:
Step 1: Add 2 to both sides.
7x−2+2=−9+2
7x=−7
Step 2: Divide both sides by 7.
7x/7 = -7/7
Answer: x=−1
Answer:
x=-1
Step-by-step explanation:
7x-2=-9 (Given)
7x=-7 (Add 2 on both sides to eliminate he -2 on the left side)
x=-1 (Divide both sides with 7 to eliminate the 7 in 7x)
Answer: x=-1
Which statements about the system are true? Check all that apply.
y= -13x - 4
3y-x= -7
a
Both lines have the same y–intercept.
b
The system consists of parallel lines.
c
The equations represent the same line.
d
The system has one solution.
e
Both lines have the same slope.
Answer: D
Step-by-step explanation:
To compare the two lines, we want to a=make sure that they are in the same form.
3y-x=-7 [add both sides by x]
3y=x-7 [divide both sides by 3]
y=1/3x-7
Now that the equations are in the same form, we can compare them.
In order for the equations to have the same y-intercept, the "b" must be the same. The y-intercept for the first equation is -4, while the y-intercept for the second equation is -7. Therefore, A is not the answer.
If the lines are parallel, they must have the same slope. Parallel lines NEVER touch or cross, hence the slope has to be the same. The slope for the first equation is -13, while the slope for the second equation is 1/3. Therefore, B is not the answer.
We know that E is not the answer because the paragraph above proved that the slope are not equal.
We also know that the equations do not represent the same line. If they are the same line, the equations would be identical.
We know that D is the correct answer. A system of linear equaitons can only have ONE solution. We set the equations equal to each other to find the solution. The intersection point is the solution.
Therefore, we know that D is the right answer.
In the figure below,
What is the value of x?
Answer: 16 degrees
Step-by-step explanation:
(3x + 18) = 66
Because vertically opposite angles are equal
66 - 18 = 48
48 divided by 3
=16
Complete this
proportion:
Answer:
AD/DC = AB/CB
Step-by-step explanation:
The effect of an angle bisector is to make the sides of the triangle on one side of the bisector proportional to the corresponding sides of the triangle on the other side of the bisector. Here, that proportion can be written ...
[tex]\dfrac{AD}{DC}=\dfrac{AB}{CB}[/tex]
Find the slope of the line that passes through (2, 6) and (-7, 8)
Answer:
-2/9
Step-by-step explanation:
The slope of the line passing through the given points is [tex]\frac{2}{-9}[/tex]
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given are two points (2, 6) and (-7, 8) from which a line passes. We need to find the slope of the line.
We know that, the slope of a line passing through points (x₁, y₁) and (x₂, y₂) = (y₂-y₁) / (x₂-x₁)
In the given points, y₂ = 8, y₁ = 6, x₂ = -7 and x₁ = 2
Therefore, the slope of line = 8-6 / -7-2 = [tex]\frac{2}{-9}[/tex]
Hence, the slope of the line passing through the given points is [tex]\frac{2}{-9}[/tex]
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Mr. Peters has 40 Bible students. Of the students, 3/4 of them are boys. How many are boys?
Answer:
Step-by-step explanation:
40·(3/4)= 10·3= 30 boys are Bible students.
Answer:
The answer would be 30 boys
Step-by-step explanation:
you would divise 40 by 4 which equals 10 and then 10x3=30 and then that would be the andwer to the problem of yours
6
910
Geometric Proof #1
4x = -24
Names: statements & Reasons Bank:
C
B
x + 18
3x + 25
Division P.O.E
4x + 43 = 19
Given: AC = 19
Prove: x = -6
gure not to sale
4x = 62
Statements
Reasons
Given
Segment Addition
Postulate
AC = 19
AB = x + 18
Definition of Midpoint
Definition of Congruent
Segments
Given
BC = 3x + 25
Given
Addition P.O.E.
x + 18 + 3x + 25 = 19
AB + BC = AC
AB = BC
Substitution
Combine Like Terms
Subtraction P.O.E.
x = -6
Click to add speaker notes
Answer:
174
Step-by-step explanation:
Obtain two numbers such their HCF is 20 and their LCM is 300....... BY STEPS!!!! ..
60 ; 100
Step-by-step explanation:Hi there !
HCF = 20 = 4×5 = 2²×5
LCM = 300 = 3×100 = 3×4×25 = 2²×3×5²
LCM/HCF = 2²×3×5²/2²×5 = 3×5
a = 3×hcf = 3×20 = 60
b = 5×lcm = 5×20 = 100
Good luck !
Consinulas is good at 2k
Answer:
1
Step-by-step explanation:
Use the SOH-CAH-TOA method.
We are given an angle (37°).
We know a side that is opposite of the angle.And we are trying to find the hypotenuse.
So we use SOH
[tex] \sin(x) = \frac{o}{h} [/tex]
[tex] \sin(37) = \frac{0.6}{h} [/tex]
Isolate h
[tex]h = \frac{0.6}{ \sin(37) } [/tex]
Which gives us 1.
So the answer is 1.
Solve please 9 to the second power =97 . Is the awnser a rational number ?
Answer:
yes becauss it can be expressed as a ratio
Step-by-step explanation:
Find the distance between the points (0,-9) and(4,-6)
Answer:
d=5
Step-by-step explanation:
1. use the distance formula: d=[tex]\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}[/tex]
2. plug in the points: d=[tex]\sqrt{(0-4)^{2} +(-9+6)^{2}[/tex]
3. solve problem inside parentheses: d=[tex]\sqrt{(-4)^{2} +(-3)^{2}[/tex]
4. square -4 and -3: d=[tex]\sqrt{16+9[/tex]
5. add:d=[tex]\sqrt{25[/tex]
6. find square root: d=5
find the slope of Y=5/4x-7
Answer:
Slope=5/4
Step-by-step explanation:
To figure this out you need to know the equation y=mx+b. (m being slope and b being the y intercept.
Here your m would be 5/4, so 5/4 is your slope.
Please help I really need it I’m so bad at math worth 20 points for 1 question please
Answer:
20
Step-by-step explanation
use the formula a²+b²=c²
since a=21 and c=29 you need to solve for b
Put 21 in for a and 29 in for c
21²+b²=29²
21²=441
29²=841
so then the equation would be 441+b²=841
subtract both sides by 441
then you have b²=400
now just find the square root of 400
√b²=√400
b=20
Please help me!!!!!!!!!!!
the important thing you need to know in solving mathematics is to understand the question and the formulae that follws.for finding equations ur general formulae us:
y-y1=m(x-x1)
do not solve y and x.
the y1 and x1 are ur x and y values from ur coordinates respectively.
m is ur gradient or slope given.
plug in the values.
Step-by-step explanation:
y-y1=m(x-x1)
y-4=2/5(x-(-2))
the x-(-2) will change to positive thus giving you an equation of:
y-4=2/5(x+2).
option 1
hope i helped ❤
Which describes a line parallel to the line described by y = –3x + 2?
O y = -3x
O y = (1/3)
O y = 2 - 3x
O y = (1/3)x + 2
Answer:
(1/3x) + 2
Step-by-step explanation:
you need to do the opposite reciprocal of -3x
the opposite sign of - is + so it is positive
the reciprocal of 3 is 1/3
Select the correct answer from each drop-down menu.
consider this expression.
le
?
123
2
9
-
The least common denominator of the two rational terms is
Answer:
2 And 9Step-by-step explanation:
The Least Common denominator of two reational terms is 2 and 9The LCD of 2 and 9 is 1850 points for this!!!!!
what is The greatest common factor of 42 and 96
Answer:
I think that the answer is 6
The greatest common factor of 42 and 96 is 6 so, option A is correct.
What is GCF?The biggest positive number that divides each of the two or more non-zero integers is known as the greatest common divisor.
Given:
The two numbers are 42 and 96,
Factorize the numbers as shown below,
42 = 2 × 3 × 7
96 = 2 × 2 × 2 × 2 × 2 × 3
Calculate the GCF as shown below,
GCF = 2 × 3
GCF = 6
Thus, the GCF is 6.
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You bet your friend that every time they say the word “like”, they owe you $0.25. By the end of the day, your friend has said “like” 18 times. How much money do they owe you?4.5?
Answer:
yes 4.5 is correct
Step-by-step explanation:
Answer:
Your friend owes you $4.50
Step-by-step explanation:
0.25 · 18 = 4.50
100 − (x + 2)
100 − (x − 2)
Please compare which is greater?
Answer:
100-(x+2)
Step-by-step explanation:
Answer:
100 − (x - 2)
Step-by-step explanation:
100-(x+2)
100+(-x-2)
-100x-200
100-(x-2)
100+(-x+2)
-100x+200
The length and width of a rectangle are in the ratio 3:4. The perimeter of the rectangle is 84 cm. Find the length and width of the rectangle.
The length of the rectangle is 18 cm, and the width is 24 cm as per the concept of perimeter.
Let the length of the rectangle be 3x and the width be 4x, where x is a common factor.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 × (Length + Width)
Given that the perimeter is 84 cm, we can write the equation as:
84 = 2 × (3x + 4x)
Now, let's solve for x:
84 = 2 × 7x
42 = 7x
x = 42 / 7
x = 6
Now that we have the value of x, we can find the length and width of the rectangle:
Length = 3x = 3 × 6
= 18 cm
Width = 4x = 4 × 6
= 24 cm
Therefore, the length of the rectangle is 18 cm, and the width is 24 cm. The length and width are in the ratio 3:4, and the perimeter of the rectangle is indeed 84 cm.
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The area of a triangle is 64 in2. The base of the triangle is twice as long as the height. The base of the triangle is and the height of the triangle is .
Answer:
Step-by-step explanation:
Area=bh/2=64, b=2h --->h2=64 --> h=8 (positive root) and b=16.
Which of the following functions will represent $500 placed
into a mutual fund yielding 10% per year for 4 years.
• A = 500(.10)^4
• A = 500(1.1)^4
• A = 500(4)(.10)
• A = 500(1.04)^10
Answer:
the answer is the first one
Step-by-step explanation:
The functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is A = 500(1.1)^4
what is Compound Interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
given:
P= $500
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 500.00[tex](1 + 0.1/1)(1)^4[/tex]
A = 500.00[tex](1.1)^4[/tex]
A = $732.05
Hence, the functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is A = 500(1.1)^4
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100 points!!! (Look at the photo) don’t send links or I’ll report it.
Answer:
The mean of this weeks temp
The mean of last weeks temp
The range of this weeks temp
Step-by-step explanation:
:)
Answer:
1. The mean of this week's temp
2. The mean of last week's temp
3. The range of this week's temp
Step-by-step explanation:
that is what i think
NAME
DATE
PERIOD
9.
Kylie and Alyssa are working together to put 96 cookies on trays for the class to enjoy. Mrs. Grim
tells them to divide them up by 8. Kylie says that means there will be 8 cookies on 12 trays. Alyssa
disagrees and thinks there should be 12 cookies on 8 trays. Who is right? Why? (4 pts)
Answer:
I belive it should be 96 divided by 8 because it's 2 variable given to us. answer should be 12 according to this but if you want to decide the 96 cookies by unknown students/trays then you might loose. my best advice
PLEASE PLEASE HELP ASAP!!
Answer:
Step-by-step explanation:
What is the question asking
What times 5 is 60, or what times 3 is 39?
Answer:
for the first it is 12 and for the other its 13
Step-by-step explanation:
Answer:
5*12=60
3*13=39
Step-by-step explanation:
How would A DEF be different if you transformed
A ABC by translating it 5 units down first and then reflect
ing it over the y-axis?
10
A
2
2
A
TC
6
8
10
6
Please helppp
Bro, we go to the same school, I'm reporting you to Mr. Fisher or whoever's homeroom you're in
how do I do this question?
Answer:
Choice C
Step-by-step explanation:
We are given the function:
[tex]\displaystyle \large{f(x)=3x+5}[/tex]
Let [tex]\displaystyle \large{y=f(x)}[/tex] therefore:
[tex]\displaystyle \large{y=3x+5}[/tex]
To find an inverse of function, swap the position of x and y:
[tex]\displaystyle \large{x=3y+5}[/tex]
Then solve or simplify the equation in term of y:
[tex]\displaystyle \large{x-5=3y}\\\displaystyle \large{\frac{x-5}{3}=y}\\\displaystyle \large{y=\frac{1}{3}x-\frac{5}{3}}[/tex]
Therefore, the answer is choice C.
__________________________________________________________
Summary
An inverse function is a function that swaps the position of domain and range, defined as notation [tex]\displaystyle \large{f^{-1}(x)}[/tex] or [tex]\displaystyle \large{y^{-1}}[/tex] generally. When finding an inverse function, make sure to swap position of range and domain, if given the interval.
Only one-to-one functions may have an inverse — multiple-to-one can not have an inverse such as quadratic function or any even-degree polynomial functions.
__________________________________________________________
Others
If you’re still curious or stuck in this question or have any doubts regarding my explanation, answer or this question — always let me know through comments!
Line a is parallel to line b. If the measure of <7 is 114 what is the measure of <4?
Using opposite by the same vertex and supplementary angles, it is found that the measure of angle 4 is of 66º.
What are opposite by the same vertex and supplementary angles?When two parallel lines are cut by a transversal, angles that are opposite in a vertex are congruent, that is, they have the same measure.When two angles are supplementary, the sum of their measures is of 180º.In this problem, angles 5 and 7 are opposite by the same vertex, hence:
m<7 = m<5 = 114º.
Angles 4 and 5 are supplementary, hence:
m<4 + m<5 = 180º.
m<4 = 66º.
The measure of angle 4 is of 66º.
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Part I: Evaluate f(0).
A. Identify the function that will be used when x = 0. (1 point)
B. Find the value of this function when x = 0.
Answer:
A. x^2 x ≤ 1
B. value=0 because (0)^2=0