Answer:
Step-by-step explanation:
26. -14
27. -4.732050808
Answer:
26. (-14)
27. −4.732050808
Step-by-step explanation:
26. [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]
Multiplication can be transformed into difference of squares using the rule:
(a − b) (a + b) = a² - b²
[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]
The square of √2 is 2.
[tex]2 - 4^{2}[/tex]
Calculate 4 to the power of 2 and get 16.
2 - 16
Subtract 16 from 2 to get −14.
-1427. [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]
Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.
[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]
The square of √3 is 3.
[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]
Combine -3√3 and 2√3 to get -√3.
[tex]3-\sqrt{3} -6[/tex]
Subtract 6 from 3 to get −3.
-3 - √3
-3 - √3 ≈ −4.732050808Which postulate or theorem proves that these two triangles are
congruent?
O HL Congruence Theorem
ASA Congruence Postulate
O SAS Congruence Postulate
• AAS Congruence Theorem
Answer:
AAS Congruence Theorem
Step-by-step explanation:
the lines in the angle show similarity. so angle FGJ= angle HJG, similarly, angle F= angle H.GJ is the same as JG so this side of both triangles is congruent. since the order of congruency is the same (triangle GHJ: angle H, angle HJG, then JG; triangle JFG: angle F, angle FGJ, then GJ) and the congruent side length isn't between the congruent angles, it's AAS
Please, If you can help i will be grateful and give brainliest.
Answer:
To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.
In this case, the coefficient of x is -1.
Thus,
[tex]y=x^2-x+1[/tex]
[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]
[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]
[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]
The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 38. Find X
Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles the legs are equal (2x - 6) and the base is x
Perimeter = (x) + (2x - 6) + (2x - 6)
38 = 5x - 12
38 + 12 = 5x
50 = 5x
[tex]\frac{50}{5} = \frac{5x}{5}[/tex]
10 = x
Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day
Answer:
Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!
Step-by-step explanation:
Diego is planting corn on his farm. He predicts that he will grow 20 tons of corn when he plants 5 acres with corn. Part A Use the information above to complete the table. Number of Acres Planted with Corn Tons of Corn Grown 5 10 15 20 DULL
The number of tons of corns grown on the farm is given my a multiple of
the number of acres planted.
The number of tons of corn predicted per 5 acres planted = 20 tons
Therefore, we have;
[tex]\begin{tabular}{ccc}Tons of corn produced per acre\end{array}\right] = \dfrac{20 \ tons}{5 \ acres} = \mathbf{4 \ tons /acre}[/tex]The completed table is presented as follows;
[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]
Learn more about simple ratios here:
https://brainly.com/question/21751163
Given triangle MTW is congruent to triangle BGK,find y.
Answer:
y = 8
Step-by-step explanation:
As MTW and BGK are congruent
angle T = angle G
4x - 3 = 45
in triangle MTW
angle M = 180 - (T + W)
= 180 - (45 + 41)
= 180 - 86
= 94
and angle M = B
11y + 6 = 94
11y = 94 - 6
11y = 88
y = 8
please help! with work please Zeroes of polynomials. will give brainliest!
Answer: 4k^2 - 9k - 9 = 0
Step-by-step explanation:
lmk if i was right please and ty
help please !!!!!!!!!
The expression 3(x + 4) - (2x + 7) is equivalent to
Answer:
Why don't know wt is equal to..
Step-by-step explanation:
3(x + 4) - (2x + 7)
3x + 12 - 2x - 7
1x + 5
x + 5
helpp pleaseeeeeeeeee
how do I solve this linear inequality?
5x - 7 > 4x + 8
Step-by-step explanation:
just like an equation.
5x - 7 > 4x + 8 | -4x + 7
x > 15
and that is your result.
in contrast to an equation, an inequality delivers a range as result and not a single point.
Answer:
[tex]\huge\boxed{\sf x > 15}[/tex]
Step-by-step explanation:
5x - 7 > 4x + 8
Subtract 4x to both sides, and Add 7 to both sides
5x - 4x > 8 + 7
x > 15
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807If i can get 6 poland spring water 3-liter for $6. How much would it be if i get 3 poland water?
Explain
Answer:
$3
if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.
DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?
Answer:
25
Step-by-step explanation:
25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.
due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.
20 + 5 = 25
In how many years will Rs 1200 at the rate of 15% interest amount to Rs 1740?
Answer:
3 years.
Step-by-step explanation:
Answer
3 years
Step by step explanation
Interest = 1740 - 1200
= 540
SI = prt/100
540 = 1200*15*t/100
540 = 12*15*t
540 = 180*t
t = 540/180
t = 3 yrs
In Dominic’s classroom, there are 5 rows of desks. There are 5 desks in each row. In all, 5 classrooms in his school have the desks set up the same way. Write an expression with an exponent that shows the total number of desks in these 5 classrooms.
Use words, numbers, and/or pictures to show your work. Write your answer on the paper provided.
Answer:
5^(3) is the exponent form which equals 125desks
Step-by-step explanation:
A row has 5 desks
A classroom has 5 rows of desks= 5*5 desks
The school has 5 classrooms
=5*5+5*5+5*5+5*5+5*5 desks
=5^(2)+5^(2)+5^(2)+5^(2)+5^(2)
=5[5^(2)]
=5^(3) = 125 desks
please help urgently need help
change the subject to x
s=x2−3
Equation =》s = x² - 3
To change the subject to 'x' :-
[tex]\tt\:s = x ^ { 2 } - 3[/tex]
[tex]\tt\:x^{2}-3=s[/tex]
[tex]\tt\:x^{2}=s+3[/tex]
So,
[tex]\boxed{\tt\:x=\sqrt{s+3}}[/tex]
[tex]\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}[/tex]
=》'x' can be any of the 2 values in the boxes.
_______
Hope it helps ⚜
Answer:
I agree with RainbowSalt2222
Step-by-step explanation:
It is correct exactly what I got
What is the equation of the line in slope-intercept form?
y = 1/7x-15/7
y = 1/7x+15/7
y = 15/7x-1/7
y = 15/7x+1/7
NEED IT NOW!!
Answer:
B IS THE ANSWER
Step-by-step explanation:
A water pipe can fill an empty pool in 3 hours. When the pool is full, an open drain can empty the pool in 4 hours. Using the water pipe with the drain open, how many hours will it take to fill the empty pool? I give brainliest
Answer:
Step-by-step explanation:
Even though this seems like a crazy trick question it isn’t. An empty pool with a closed drain takes 3 hours to fill. A full pool with and open drain takes 4 hours to empty. So to fill and empty pool with an open drain, i’d say in my opinion it’d either take 7 hours or you wouldnt be able to fill it at all. I mean it’s an open drain
hope this helped :3
:3 byeeeeeeeeeeeeeeeee
if 3x+4y=11 and xy=2 solve simultaneously
Answer:
(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Step-by-step explanation:
3x + 4y = 11 → (1)
xy = 2 ( divide both sides by y , y ≠ 0 )
x = [tex]\frac{2}{y}[/tex] → (2)
Substitute x = [tex]\frac{2}{y}[/tex] into (1)
3([tex]\frac{2}{y}[/tex] ) + 4y = 11
[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )
6 + 4y² = 11y ( subtract 11y from both sides )
4y² - 11y + 6 = 0
Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term
product = 4 × 6 = 24 and sum = - 11
The factors are - 8 and - 3
Use these factors to split the y- term
4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )
4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term
(y - 2)(4y - 3) = 0
Equate each factor to zero and solve for y
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
y - 2 = 0 ⇒ y = 2
Substitute these values into (2)
y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )
y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you can walk 3/8 of a mile in 1/9 hour, how far could you walk in one hour
9514 1404 393
Answer:
27/8 = 3 3/8 miles
Step-by-step explanation:
To find the rate in miles per hour, divide miles by hours.
(3/8 mi)/(1/9 h) = (3/8)·(9/1) mi/h = 27/8 mi/h = 3 3/8 mi/h
You can walk 3 3/8 miles in 1 hour at that rate.
A reflection over the x axis moves the point (-2, 5) to which quadrant?
I
Hiiii!!! Can someone please help mee!! I will give you double points!!!
Answer:
II quadrant
Step-by-step explanation:
Looking at the drawing, you can determine that the point with
coordinates (-2 ; 5) is in the II quadrant
1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?
Answer:
The ones that are divisible by 6
Step-by-step explanation:
If it is even, divisible by 2
If the sum of digits is divisble by 3, it would be divisible.
These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.
You are welcome,
Kayden Kohl
8th Grade
Use a number line to add or subtract.
3−(-1)=
Answer:
4
Step-by-step explanation:
rule 1 positive + positive= positive
rule 2 negative plus negative = negative
help me please on my math I need All of this FACTORS and the LCM
Answer:
the LCM is :
1. 144
2.40
3.870
4. 63
5.216
6.150
7. 112
8.162
9. 96
10. 40
Translate the sentence into an equation.
Nine more than the quotient of a number and 8 is equal to 5.
Answer:
x/8 + 9 =5
Step-by-step explanation:
Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5
I hope this helps!
Today, Petland sold 8 times as many dogs as cats. If a total of 72 dogs and cats were sold, how many cats were sold?
Can someone please explain what x is over here? And solve a part with working please :). Eternally grateful
Answer:
[tex]\frac{1}{9}[/tex] , 3 , 10
Step-by-step explanation:
Using the rules of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]
[tex]a^{0}[/tex] = 1
(a)
[tex]6^{-x}[/tex] = [tex]\frac{1}{6^{x} }[/tex] = [tex]\frac{1}{9}[/tex]
(b)
[tex]6^{\frac{x}{2} }[/tex] = [tex]\sqrt{6^{x} }[/tex] = [tex]\sqrt{9}[/tex] = 3
(c)
[tex]6^{0}[/tex] + [tex]6^{x}[/tex] = 1 + 9 = 10
plss help me with this:(((((
The answer for the first question is A
The answer the second question is D
Step-by-step explanation:
so, let's look at the options.
A. (x+3)/x = 3
that hurts already by just looking at it.
but let's check anyway :
x + 3 = 3x
3 = 2x
and that is only true for one value of x (3/2), but not in general.
so, this is wrong.
B. (x²+5)/5 = x² + 1
x² + 5 = 5x² + 5
x² = 5x²
that is only true for one value of x (0), but not in general.
so, this is wrong.
C. (2x+7)/(2x+9) = 7/9
9(2x+7) = 7(2x+9)
18x + 63 = 14x + 63
4x = 0
that is only true for one value of x (0), but not in general.
so, this is wrong.
D. (-5x - 10)/(x+2) = -5
-5x - 10 = -5(x + 2) = -5x - 10
now this is true in all cases, so this is correct.
make simple :
(a² - 4a + 4) / (a² - 4)
with a little bit of experience you see right away that
a² - 4a + 4 = (a - 2)²
as we know from the generic squaring
(a - b)² = a² - 2ab + b² : a perfect fit.
and
(a² - 4) = (a + 2)(a - 2)
as we know from the generic factor multiplying
(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.
so, the given expression is actually
(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))
and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :
(a - 2) / (a + 2)
and that is answer A
Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm