Answer:
a+b=2
Step-by-step explanation:
start by combining all the terms that are possible: (a+b)^2 - 4 = 0
move -4 to the other side: (a+b)^2= 4
Find the square root of both sides: a+b=2
Please help with questions 4,5 and 6!
Answer:
Step-by-step explanation:
4) ∠CTB , ∠PTA are vertical angles
If sum of two angles add up to 90, then they are Complementary angles.
If sum of two angles add up to 180, then they are Supplementary angles.
∠FTA and ∠ATR are supplementary angles
5) ( 1 , 2 ) & (3 , 6)
[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]
[tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]
[tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
= (2 , 4)
6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]
Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)
Answer:
k=-5
Step-by-step explanation:
For the points to be collinear any two pair must have the same slope
We find the slope of the 2nd and 3rd points
=1-2/-1--3
=-1/2
Now finding the slope of the 1st and any other point say point 3
1-3/-1-k=-½
-2/-1-k=-½
-4=-1(-1-k)
-4=1+k
k=-4-1
k=-5
PROOF
if the first point is (-5,3)
slope of point 1 and 2
=2-3/-3--5
=-1/2
evaluate the expression (-2) - ( -5)
Answer:
The answer is 3
Step-by-step explanation:
(-2)+5=3
nilai x yang memenuhi |3x + 7| > 2 adalah....
Answer:
|3x+7|>2 =5/3 x yang memenuhi
4. Determine both the HCF and LCM of 25 and 200
Answer:
The LCM of 25 and 200 is 200.
Explanation:
Find the prime factorisation of 25
25 = 5 × 5
Find the prime factorisation of 200
200 = 2 × 2 × 2 × 5 × 5
Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:
LCM = 2 × 2 × 2 × 5 × 5
LCM = 200
Answer:
the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.
LCM of 25 and 200 is 200 because it can be divided by both 200 and 25
a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter
Answer:
£17920
Step-by-step explanation:
total length of the field = 2(155+485) = 1280m
cost = 1280 * 14 = 17920
Can somebody please help? I been struggling to answer this!
Answer:
the first option is the answer. I am sure of this
Answer:
the first option is the answer
Identify the number as rational or irrational.
Identify which number??
Tìm tập giá trị y = x² - căn 4 - x²
Answer:
0 and 2 s the answer
John is printing advertisement flyers for his business on colored sheets of paper. There
are 500 sheets of paper in one ream and a toner cartridge will print 2,000 sheets. John
has 3 toner cartridges and 15 reams of paper. Which will he run out of first?
Answer:
John will run out of toner cartridges first
Step-by-step explanation:
First, find how many sheets he can print with the 3 toner cartridges:
3(2000)
= 6000 sheets of paper
Find how many sheets of paper he has:
15(500)
= 7500 sheets of paper
Since 6000 is less than 7500, John will run out of toner cartridges first.
You have to evaluate
3³+11-10÷2×4=w
Answer:
18
Brainliest, please!
Step-by-step explanation:
3^3 + 11 - 10 / 2 x 4 = w
27 + 11 - 10 / 2 x 4 = w
27 + 11 - 5 x 4 = w
27 + 11 - 20 = w
38 - 20 = w
w = 18
1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
A. quadratic; y = –2.5x2
B. linear; y = 2.5x
C. exponential; y = 2.5x
D. quadratic; y = 2.5x2
Answer:
D. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
A. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
can someone ans it correctly plz
Answer:
It's BGH or the 4th option
Step-by-step explanation:
This is because they aren't adjoined
At the beginning of March, a store bought a leather couch at a cost of $960.70 and marked it up 20%. At the end of the month, the leather couch had not sold, so the store marked it down 25%. What was the discounted price? Submit
Answer: $864.63
Step-by-step explanation:
First find the original price. Write 20% as the decimal 0.20 before using it in the equation.
price
= cost+mark-up
= 960.70+0.20×960.70
= 960.70+192.14
= 1,152.84
The original price was $1,152.84.
Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.
discount price
= original price–discount
= 1,152.84–0.25×1,152.84
= 1,152.84–288.21
= 864.63
The discount price was $864.63.
f(x)=-x^2-10x
Find f(-5)
Answer:
25
Step-by-step explanation:
f(x)=-x^2-10x
Let x = -5
f(-5)=-(-5)^2-10(-5)
= -25+50
=25
what is -2 1/3 - (-5)=
Answer:
[tex] \frac{8}{3} [/tex]
Step-by-step explanation:
[tex] - 2 \frac{1}{3} - ( - 5)[/tex]
convert mixed fraction into improper fraction.
[tex] - \frac{7}{3} + ( - 5)[/tex]
calculate the sum of the fraction:
[tex] \frac{8}{3} [/tex]
The zebras have been spotted in a
rectangular area of the Savannas that
is 1.4 kilometers by 2.4 kilometers. What
is the area of the rectangle?
Area of rectangle where Zebra spotted is 3.36 kilometer²
Step-by-step explanation:
Given that;
Zebras spotted in a rectangular area
Dimensions of area is 1.4 kilometers by 2.4 kilometers
Find:
Area of rectangle
Computation:
[tex]Area\ of\ rectangle = length \times width\\[/tex]
Area of rectangle = 1.4 x 2.4
Area of rectangle = 3.36 kilometer²
Learn more:
https://brainly.com/question/22998786?referrer=searchResults
A car accelerates from stationary state to X kmj-1 in 10 minutes. If the acceleration of the car is 300 km h-2, find the value of X.
Step-by-step explanation:
X = Acceleration × time
=300× (10/60)
=50km/h
someone help please :)
Answer:
its basically a Cross
the point they cross is p
and the 2 lines are AB and RS
I hope I'm correct.And yea
.hope it helps
which expression is equivalent to 2•2 3 •8
Answer:
2^7
Step-by-step explanation:
2 * 2^3 *8
Rewriting 8
8 = 2^3
2 * 2^3 * 2^3
We know that a^b * a^c = a^(b+c)
2^1 * 2^3*2^3
2^(1+3+3)
2^7
Aimee deposited $250 into a savings account with the simple interest of 6% per year.
After 4 years, how much money, in total, will she have in her account?
Answer:
Step-by-step explanation:
Interest=principal*rate*time/100
Interest=240$
Amount= principal + interest
Amount=$490
What is 30-[9+4(8-5)]
Answer:
9
Step-by-step explanation:
30 - (9+4 x 3)
30 - (9 + 12)
30 - 21
= 9
Like what is this and how do you do it please explain clearly and understandable
Answer:
1/4
Step-by-step explanation:
HT represent the probability of tossing a head then Tail.
There is 4 possible results and only 1 give us HT.
We call this theoretical probability. which is
[tex] \frac{x}{y} [/tex]
where x is favorable outcomes and y is total number of outcomes.
So there is a 1/4 probability of getting a head followed by a tail.
what is x when the tangent of 25 equals x over 11?
Answer:
x = 5.12938423
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Decide whether the represents a rational number or an irrational number. Explain how you know without simplifying.
The
represents
▼
an irrational number.
a rational number.
This is because the number
is
▼
a rational number
an irrational number
and the number
is
▼
an irrational number.
a rational number.
The of
▼
a rational number and an irrational number
two irrational numbers
two rational numbers
is
▼
an irrational number.
a rational number.
3/4x + 4/7y = 5/4x -1...solve for y
Answer:
[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]
I hope I helped you^_^
if hj=7x-27 find the value of x
Answer:
x=7
Step-by-step explanation:
HI + IJ = HJ
3x-5 + x-1 = 7x-27
Combine like terms
4x-6 = 7x-27
Subtract 4x from each side
4x-6 -4x= 7x-27-4x
-6 = 3x-27
Add 27 to each side
-6+27 = 3x-27+27
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
Answer:
x=7
Step-by-step explanation:
The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?
The sales tax on this printer is $20.94
What is sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
Given that, the price of a printer is $349.00 having a 6% sales tax.
Sales tax = 6% of $349.00
$349.00 x 0.06 = $20.94
Hence, the sales tax on this printer is $20.94
For more references on sales tax, click;
https://brainly.com/question/29442509
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what is 200 rounded to the nearest ten
Answer:
200.
Step-by-step explanation:
-------- 200 -------
Hope that helps.
help asap show work and no links pls
Answer:
f(1) = 2 f(3) = 8 f(t) = 2^t
Step-by-step explanation:
you just plug in the number in the parenthesis next to f to x in the equation 2^x