Answer:
-7
Step-by-step explanation:
The line (y-1)=(2/3)(x+1) contains point (a,-3)
=> (-3-1) = (⅔)(a+1)
-4 = (⅔)(a+1(
(a+1)= -4 ÷ ⅔
a + 1 = -4 × 3/2
a+ 1 = -6
a = -6-1
a = -7
The value of 'a' will be;
⇒ a = - 7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of line is,
⇒ (y - 1) = (2/3) (x + 1)
And, The point on the line = (a, - 3)
Now,
Since, The point on the line = (a, - 3)
Hence, It satisfy the equation of line.
Substitute x = a and y = - 3, we get;
⇒ (y - 1) = (2/3) (x + 1)
⇒ (- 3 - 1) = (2/3) (a + 1)
⇒ - 4 × 3 = 2a + 2
⇒ - 12 - 2 = 2a
⇒ 2a = - 14
⇒ a = - 7
Thus, The value of a = - 7
Learn more about the substitution method visit:
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please help me please.
Step-by-step explanation:
For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).
Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)
4. 1 less than twice the square of a number
Answer:
2(x^2)-1
Step-by-step explanation:
The square of a number is just the number squared. We don't know what the number is so I will just say it is x. So we have 2 times x^2. Then we have to minus 1 from that. So 2(x^2)-1.
Hope this helps! :D
The expression "1 less than twice the square of a number" can be represented mathematically as [tex]\(2x^2 - 1\)[/tex], where x is the variable representing the number.
Expression: [tex]\(2x^2 - 1\)[/tex]
Step 1: Square the number x:
[tex]\((x)^2 = x^2\)[/tex]
Step 2: Multiply the squared number by 2:
[tex]\(2 \cdot x^2 = 2x^2\)[/tex]
Step 3: Subtract 1 from the result of step 2:
[tex]\(2x^2 - 1\)[/tex]
This is the final expression that represents "1 less than twice the square of a number."
For example, if we substitute a specific value for x, let's say x = 3:
Step 1: Square the number: [tex]\(3^2 = 9\)[/tex]
Step 2: Twice the squared number: [tex]\(2 \cdot 9 = 18\)[/tex]
Step 3: Subtract 1: 18 - 1 = 17
So, when x = 3, the expression [tex]\(2x^2 - 1\)[/tex] evaluates to 17.
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I need the perimeter of this triangle. Round to the nearest tenth. Quickly please
Answer:
The perimeter of the triangle is about 17.1 units.
Step-by-step explanation:
The perimeter of a triangle is the sum of its three side lengths.
We can see that the two legs of the triangle both measure five units.
To find the third segment, we can use the Pythagorean Theorem since the x-axis is perpendicular to the y-axis. Recall that:
[tex]a^2 + b^2 = c^2[/tex]
Where a and b are the two legs and c is the hypotenuse.
Our two legs are 5 and 5. Hence:
[tex](5)^2 + (5)^2 = c^2[/tex]
Solve for the hypotenuse:
[tex]\displaystyle \begin{aligned} c &= \sqrt{(5)^2 + (5)^2} \\ &= \sqrt{2(5)^2} \\ &= 5\sqrt{2}\end{aligned}[/tex]
Hence, our perimeter will be:
[tex]\displaystyle P = 10 + 5\sqrt{2} \approx 17.1 \text{ units}[/tex]
In conclusion, the perimeter of the triangle is about 17.1 units.
2.
Graph the set of points. Which model is most appropriate for the set? (–6, –1), (–3, 2), (–1, 4), (2, 7)
A. linear
B. exponential
C. quadratic
Answer:
A. linear
Step-by-step explanation:
36. A function g is described below
.
g(x) = (x - 3)2 + 1
• The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than
or equal to -
F. 1
H. -3
G. 3
J. 10
Answer: F
Step-by-step explanation:
A square is always positive:
[tex](x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\[/tex]
Answer:
F.
Step-by-step explanation:
The expression (x - 3)^2 is always >= 0.
The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.
The range of g(x) is all real numbers >= 1.
(PLEASE ANSWER ASAP I JUST NEED TO KNOW IF I GOT THIS ONE CORRECT PLEASE EXPLAIN ALSO)
Hey there! I'm happy to help!
We have $100.75 to spend.
Each spool costs $3, and we have 24 spools.
3×24=72
Each glue costs $1 and we have 7 packages of glue.
7×1=7
We add up these expenses.
72+7=79
And we subtract from our total amount.
100.75-79=21.75
So, Joanna has $21.75 left after buying these things.
Have a wonderful day and keep on learning! :D
Answer:
21.75
total money she has is 100.75
1 spool of ribbon $3
she buys 24 spools = 24X3
$72
1 glue cost $1
so 7 package glue cost =7X1= $7
money that he left is equals to 100.75- 79
=21.75
Please find the value of x
Answer:
[tex]2x - 10 = 3x - 40 \\ x \: terms \: togather \\ 3x - 2x = - 1 0 + 40 \\ x = 30 \\ thank \: you[/tex]
4.
Evaluate the expression below if
Y = -1 and y-3
3x-y
Answer:
• If y= -1 and x= -3-8• If y= -3 and x= -1-1Step-by-step explanation:
If you mean: Let y= -1 and x= -33x - y = ?3(-3) - (-1) = ?-9 - (-1) = ?-8If you mean:Let y= -3 and x= -13x - y = ?3(-1) - (-3) = ?-4 - (-3) = ?-1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Which one of the following
lists correctly places these
rational numbers in order from
least to greatest?
-1.20, -1/5 -174-17g. -1.30
WILL MARK BRAINLIEST: In a car park, 2/3 of the cars are red.
1/5 of the cars are blue.
What fraction of the cars are red or blue?
Answer:
13/15
Step-by-step explanation:
Answer:13/15
Step-by-step explanation:
Perry currently has $180 dollars and is spending $6 per day. Nick has no money
but is earning $8teach day. After how many days will they have the same
amount of money?
Answer:
After 13 days (Rounded) If you dont round it's [tex]\frac{90}{7}[/tex] or 12[tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Perry: 180 - 6x = 8x
180 - 6x + 6x = 8x + 6x
180 = 14x
180/14 = 14x/14
90/7 = x
What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?
Pls help me i’ll really appreciate it!!
this is loki ez
but just go in order
Please help! This is due soon!!!
Write a function that has roots at x=2,6.
Answer:
x^2-8x+12
Step-by-step explanation:
(x-2)(x-6) roots= 2,6
x^2-6x-2x+12
=x^2-8x+12
Identify the independent and dependent variables a store is having a sale over Labor Day weekend. The more purchases, the greater the profits
9514 1404 393
Answer:
independent: purchasesdependent: profitsStep-by-step explanation:
The relationship description tells you that profits depend on purchases. Therefore, profits are the dependent variable; purchases are the independent variable.
1 point Final grades are often computed using weighted averages. Some college professors use complicated weighted averages . Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%. What will your final grade be if your homework average is 59 and your test average is 64?
Weighted average is the average of a set using different weight for each element in the set. The final grade when homework and test scores are 59 and 64 is 62.35
Given that:
[tex]Homework = 59[/tex]
[tex]Test = 64[/tex]
The test score is greater than the homework score. So, the test will be weighted using 67%, while the homework will be weighted using 33%.
The final grade is calculated as follows:
[tex]Grade = 67\% \times Test + 33\% \times Homework[/tex]
So, we have:
[tex]Grade = 67\% \times 64 + 33\% \times 59[/tex]
[tex]Grade = 42.88 + 19.47[/tex]
[tex]Grade = 62.35[/tex]
Hence, the final grade is 62.35
Read more about weighted average at:
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(a) Write these in order of size starting with the smallest 0.8 78% ⅞ 0.71
Answer:
0.71, 78%, 0.8, [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
78% = 0.78
7/8 = 0.875
Picture shown!
If f(x) = x^2, and
g(x) = x - 1, then
g(f(x)) = x^[?]+[?]
Answer:
g(f(x)) = x^2 + 1
? = 2
grey box = 1
Step-by-step explanation:
Answer:
g(f(x)) = [tex]x^{2}[/tex] + 1
PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7
Solve 15x squared + 40x
Answer:
265x{2} + 40x
Step-by-step explanation:
Squared mean to multiply the number times itself. So 15x times 15x.
[tex]15x^{2} = 225x[/tex]{2}
Then the problem says to add, but because one is squared and th other is not, they cannot be combined. So the answer is:
[tex]225x{2} + 40x
Answer:
see below
Step-by-step explanation:
15x^2 + 40x
These are not like terms so they cannot be combined.
If you mean
(15x) ^2 + 40x
(15x * 15x) + 40x
225x^2 + 40x
They are still not like terms so they cannot be combined.
Which of the following properties is this?
8x/3 • 3/8x = 1
Answer:
Multiplication
Step-by-step explanation:
Multiplication
What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?
Answer:
p(x,y)= (2,3)
Step-by-step explanation:
i have used partition formula in the pic below. If there is any question you can ask me in comment.
Write 3.7777... As a mixed number
Answer:
3 7777/10000
Step-by-step explanation:
Answer:
[tex]3\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]3.777...=3+0.777...[/tex]
[tex]0.777...=x\\7.777...=10x[/tex]
[tex]10x-x=7.777...-0.777...\\9x=7\\x=\frac{7}{9}[/tex]
The answer is [tex]3\frac{7}{9}[/tex]
PLEASE HELP ME IM RUNNING LOW ON TIME
Answer:
[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]
How would I prove the congruency of these triangles?
Step-by-step explanation:
the radius cuts the segment into two equal parts because it is perpendicular to the chord
Answer:
Step-by-step explanation:
As O is the mid point of the circle
Similarly, B also becomes the mid point of the line AC.
So, line OB divides AB and BC equally.
Hence, lines AB = AC, but they are asking to prove congruency of triangles.
So, u have to join OA and OC.
Same way, line OB divides ∠OBA and ∠OBC.
So it is proved that AB = AC
The area of the square is 64 ft? What are the side lengths?
4
4 ft, 16 ft 4 ft, 16 ft
B)
16 ft, 16 ft, 16 ft, 16 ft
C)
8 ft. 8 ft, 8 ft. 8 ft
D)
4 ft. 4 ft 4 ft. 4ft
Answer:
C
Step-by-step explanation:
the square root of 64 is 8ft
Find the slope of a line that contains the two points. (-2, 8) and (1, 2)?
Answer:
The slope is -2
Step-by-step explanation:
(-2, 8) and (1, 2)
Slope formula:
m= (y2-y1)/(x2-x1)
Work:
m= (2 - 8)/(1 + 2)
m= (-6)/3
m = -2
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[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]
Answer:
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]
[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]
[tex]\\ \rm\longmapsto 5(3)[/tex]
[tex]\\ \rm\longmapsto 15[/tex]
Pringle's variety pack 18 cups for $6.48 cost per cup
Answer:
0.36
Step-by-step explanation:
how to solve this things
Answer:
8/5
Step-by-step explanation:
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