Answer: Dear friend my answer for this question is 86.
Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.
x + y = 14
x = 14 - y…..Eq..1
The nuber formed is 10x + y
If the number formed by reversing the digits is 18 less than the original number, what is the original number
On reversing the digit the number will be 10y + x
10y + x + 18 = (10x + y)
10y + x = 10x + y - 18
10y - y + x - 10x = - 18
9y - 9x = -18…Eq..2
Now substituting the value of x from Eq..1 to Eq..2
9y - 9 (14 - y) = - 18
9y - 126 + 9y = - 18
18y = 126 - 18
18y = 108
y = 108/18
y = 6
Thus 1s digit if the number is 6
Substituting the derived value of y in Eq..1 to derive value of x.
x = 14 - y
x = 14 - 6
x = 8
The 10s digit if two digit number is 8.
The original number formed is 86.
On reversing the digits, the number transform to 68, which is 18 less than original number
Answer the original number is 86.
Work out 50 as a presentage of 10
Answer:
500%
Step-by-step explanation:
10= 100%
50= 5*10= 5*100%= 500%
Express the following rate as a unit rate:
Biking 16 miles in 2 hours
Answer:
8 miles in 1 hour is the answer
Answer:
[tex]\frac{8 mi}{1 hr}[/tex] (8 mi 1 hr)
Step-by-step explanation:
Biking 16 miles in 2 hours is [tex]\frac{8 mi}{1 hr}[/tex]
Which measurements could be the length of the third
side? Select all that apply.
A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches
19 inches
0 21 inches
D 35 inches
45 inches
in ohon
Answer:
35 and 21
Step-by-step explanation:
the sum of the two lengths of two sides must be greater than the length of the third side.
10+30=40
45 doesn't work: 40<45.
10+19=29
29<30
19 doesn't work
10+21=31
31>30
21 works
35+10=45
45>30
35 also works
Answer:
35 and 21, good luck!! sorry I'm late
Shawna says her mug holds 100 milliliters. She’ll says that the mug holds 1 liter. Is Shelly correct?
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no.
Answer:
no shes wrong it does not hold a liter
Step-by-step explanation:
Find f(2) if f(x) = (x + 1)2
Answer:
2x
Step-by-step explanation:
f(2)=(2x+1)2
f(2)=(4x+2)
÷ both by two
f(2)=(2x)
// have a great day //
How long is the shorter leg of the triangle?
Answer:
6 is the answer
Given ΔJKL, the following steps were performed to construct triangle ΔXYZ so that ΔJKL ≅ ΔXYZ.
1.Copy side JL to form XZ.
2.Copy angle ∠LJK to form ∠ZXY.
3. Copy side JK to form XY.
4. Construct segment YZ.
Which congruency theorem can be applied to prove that the triangles are congruent?
a) ASA
b) SSS
c) AAS
d) SAS
Answer:
it's SAS. You've probably found out by now sorry :/
Step-by-step explanation:
Answer:
sas
Step-by-step explanation:
The discriminant of 2x² + √32 x - 2 is
Answer:
The answer is 48.
Step-by-step explanation:
The formula for discriminant, D = b² - 4ac. Then you have to substitute the following values into the formula :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: a = 2 \\ let \: b = \sqrt{32} \\ let \: c = - 2[/tex]
[tex]D = {( \sqrt{32} )}^{2} - 4(2)( - 2)[/tex]
[tex]D = 32 + 16[/tex]
[tex]D = 48[/tex]
What is the perimeter of ABCDE, rounded to the nearest whole number?
Answer:
option B -> 23 units
Step-by-step explanation:
To solve this question we need to find the length of each side, and we can do this finding the distance between the pair of points that make a side, using the formula:
[tex]dist = \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2} }[/tex]
Where the points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].
So, using the points A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1) and E = (2, -4), we have that:
[tex]AB = \sqrt{(-4 - (-1))^{2} + (-2 - 2)^{2} } = 5[/tex]
[tex]BC = \sqrt{(-1 - 2)^{2} + (2 - 2)^{2} } = 3[/tex]
[tex]CD = \sqrt{(2 - 5)^{2} + (2 - (-1))^{2} } = 4.2426[/tex]
[tex]DE = \sqrt{(5 - 2)^{2} + (-1 - (-4))^{2} } = 4.2426[/tex]
[tex]EA = \sqrt{(2 - (-4))^{2} + (-4 - (-2))^{2} } = 6.3246[/tex]
So the perimeter of ABCDE is:
[tex]P(ABCDE) = AB + BC + CD + DE + EA[/tex]
[tex]P(ABCDE) = 5 + 3 + 4.2426 + 4.2426 + 6.3246 = 22.8098[/tex]
Rounding to nearest whole number we have:
[tex]P(ABCDE) = 23[/tex]
So the answer is the option B.
The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real numbers. What are the values of a and b.
Answer:
a = -6 and b = 3√2
Step-by-step explanation:
Given the complex solution below;
x = (-24±√-288)/4
Re writing in the standard format a,+bi
x =( -24±√144×√2×√-1)/4
In complex notation, i = √-1
x = (-24±√144×√2×i)/4
x = ( -24±12×√2i)/4
x = -24/4±12√2i/4
x = -6±3√2i
Comparing the resulting complex number with a+bi
a = -6 and b = 3√2
What percent of 660 is 99?
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
[tex]\frac{99}{660} =\\\\\frac{3}{20} =\\\\\frac{15}{100}[/tex]
99 is 15% of 660
Solve the system of linear equations by graphing. Round the solution to the nearest tenth.
y = –0.25x + 4.7
y = 4.9x – 1.64
The approximate solution to the system is (
,
).
Answer:
The approximate solution to the system is (1.2, 4.4)
x = 1.2 and y = 4.4
Step-by-step explanation:
The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation = 4.9x – 1.64.
The solution of the system of equations is their point of intersection shown on the graph.
The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.
So the approximate solution to the system is (1.2, 4.4)
what is the measure angle of N???
[tex]answer \\ 61 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?
Answer:
Step-by-step explanation:
You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.
When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.
Our c is a 20. All the factors of 20 are as follows (notice that we have both the positive and negative factors):
20: ±1, ±2, ±4, ±5, ±10, ±20
Our d is a 3. All the factors of 3 are as follows (again, both the + and the -):
3: ±1, ±3 and that's it for 3.
c/d is as follows. Make sure you put ever c over every d!!!:
c/d: ±[tex]\frac{1}{1}[/tex], ±[tex]\frac{2}{1}[/tex], ±[tex]\frac{4}{1}[/tex], ±[tex]\frac{5}{1}[/tex], ±[tex]\frac{10}{1}[/tex], ±[tex]\frac{20}{1}[/tex], ±[tex]\frac{1}{3}[/tex], ±[tex]\frac{2}{3}[/tex], ±[tex]\frac{4}{3}[/tex], ±[tex]\frac{5}{3}[/tex], ±[tex]\frac{10}{3}[/tex], ±[tex]\frac{20}{3}[/tex]
Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.
Answer:
its D on edge
Step-by-step explanation:
Help me please, an explanation would be nice as well
Answer:
Option (A). 44.1
Step-by-step explanation:
In the figure attached,
Triangle XYZ is am obtuse triangle having,
m∠XZY = 133°
m(YZ) = 21 units
m(XZ) = 27 units
By Cosine rule,
(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ
Where θ is the angle opposite to side XY.
(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°
= 1943.38614
XY = √1943.38614
XY = 44.084
≈ 44.1 units
Therefore, length of side XY = 44.1 units
Option (A) will be the answer.
PLEASE HELP!! WILL MARK BRAINIEST !!
Select the correct answer. If f(x)=2x^2+3x and g(x)=x-2 what is (f+g)(2)
A.)16
B.)14
C.)12
D.)10
E.)8
Answer:
(f+g)(2) = 10
Step-by-step explanation:
f(x)=2x^2+3x
g(x)=x-2
(f+g)(x) will be sum of f(x) and g(x)
(f+g)(x) = 2x^2+3x + x - 2 = 2x^2+4x - 2
we have to find (f+g)(2), for that we will put x = 2
(f+g)(x) = 2x^2+4x - 2
[tex](f+g)(2) = 2*2^2+2*2 - 2\\(f+g)(2) = 2*4+4 - 2\\(f+g)(2) = 8+4 - 2 = 10[/tex]
Thus, (f+g)(2) is 10.
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer:
$12 million
Step-by-step explanation:
Vertex form of a quadratic equation:
y=a(x-h)^2+k
where (h,k) is the vertex.
The vertex is (5,12), and it is a maximum since a is negative.
Therefore, the maximum value is $12 million.
Which expression is modeled by this arrangement of tiles?
16 negative tiles are split into 2 groups of 8 negative tiles.
Negative 16 divided by 3
Negative 16 divided by 2
Negative 8 divided by 8
Negative 8 divided by 2
Answer:
The answer is B
Step-by-step explanation:
Find the gradient of the line segment between the points (-5,-2) and (-3,-8)
Answer:
- 3
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (- 3, - 8)
m = [tex]\frac{-8-(-2)}{-3-(-5)}[/tex] = [tex]\frac{-8+2}{-3+5}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
Which equation is rewritten in vertex form
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5
[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]
Therefore, Option (2) will be the vertex form.
Work out the mean for the data set below 4,3,5,5,4,4,3,2 give your answer as a fraction
Sam is buying presents for his family.
He buys a bracelet for his wife for $50. He
buys a game for his son, and the same game
for his daughter. He spends a total of $72.
How much does one game cost?
Answer:
$ 11
Step-by-step explanation:
A game costs $ x.
Two games costs 2x.
50 + 2x = 72
2x = 72 - 50
2x = 22
x = 11
WY is the perpendicular bisector of XZ. Y =
(I attached an image) Please help! Thank you!
Answer:
y=5
Step-by-step explanation:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
WY is the perpendicular bisector of XZ.
2x + 3 = 3x - 5
x = 8
5y - 2y = 7 + 8
y = 5
The value of y is 5
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
WY is the perpendicular bisector of XZ.
We see that,
2x + 3 = 3x - 5
3x - 2x = 3 + 5
x = 8
Now,
We have two right triangles.
∠WXY
WY² = WX² + XY² _____(1)
∠WYZ
WY² = WZ² + YZ² ______(2)
From (1) and (2) we get,
WX² + XY² = WZ² + YZ²
(2y + 7)² + (2x + 3)² = (5y - 8)² + (2x + 3)²
(2y + 7)² = (5y - 8)²
2y + 7 = 5y - 8
5y - 2y = 7 + 8
3y = 15
y = 5
Thus,
The value of y is 5
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ5
Helppp pleaseeeee The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object? Explain your answer.
Answer:
Total volume = (145/3)π in³
Step-by-step explanation:
First find the volume of the entire cylinder. The correct formula to use here is:
V = πr²h, where r is the radius and h is the height. Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is
V = π(2.5 in)²(8 in) = 50π in³
Next find the volume of the conical shape: V = (1/3)π(2.5 in)²(0.8 in)
The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:
π(2.5 in)²(8 in) = 50π in³ LESS (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:
Total volume =
50 π in³ - (1/3)π(2.5 in)²(0.8 in), or
(2.5 in)²π[8 in - 0.8/3 in] = π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or
Total volume = (145/3)π in³
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida
Answer:
number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
Step-by-step explanation:
Given that f represents the number of state parks in Florida.
Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida
number of State Parks in California = 1/3 (number of State Parks in Florida) + 36
but it is given that There are 85 State Parks in California
and f represents the number of state parks in Florida
85 = 1/3(f) + 36 _________equation
=> 85 - 36 = 1/3 (f)
=> 49 = 1/3 f
=> 49*3 = f
=> f = 147
Thus, number of state parks in Florida is 147.
Equation is 1/3(f) + 36 = 85
For the graph of the rational function
f(x)=x^2-15+56 over
x+7, identity all discontinuities as either a removable discontinuity or a vertical asymptote
A.removable discontinuity at x=-7
B. Vertical asymptote is x=7
C.vertical asymptote is at x=-7
D. Removable discontinuity at x=7
Please help me with my question!!
Answer:
B,C
Step-by-step explanation:
The sum of B is 1
The sum of C is -1/2
Let's try each option.
Option A:
-3 + 5 + (-1) = 2 + (-1) = 1
FALSE
Option B:
5 + (-8) + 4 = -3 + 4 = 1
TRUE
Option C:
-19/2 + 9 = -9.5 + 9 = -0.5
TRUE
Option D:
-17 + 36/2 = -17 + 18 = -1
FALSE
So, the correct answers are B and C
Best of Luck!
The proof that AMNS AQNS is shown.
Given: AMNQ is isosceles with base MQ, and NR and MQ
bisect each other at S.
Prove: AMNS AQNS
We know that AMNQ is isosceles with base MQ. So,
MN - QN by the definition of isosceles triangle. The base
angles of the isosceles triangle, ZNMS and 2NQS, are
congruent by the isosceles triangle theorem. It is also given
that NR and MQ bisect each other at S. Segments
are therefore congruent by the definition of bisector. Thus,
AMNS AQNS by SAS.
N
M
о
S
NS and QS
ONS and RS
MS and RS
MS and QS
R
Answer:
The answer is "MS and QS".
Step-by-step explanation:
Given ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. we have to prove that ΔMNS ≅ ΔQNS.
As NR and MQ bisect each other at S
⇒ segments MS and SQ are therefore congruent by the definition of bisector i.e MS=SQ
In ΔMNS and ΔQNS
MN=QN (∵ MNQ is isosceles triangle)
∠NMS=∠NQS (∵ MNQ is isosceles triangle)
MS=SQ (Given)
By SAS rule, ΔMNS ≅ ΔQNS.
Hence, segments MS and SQ are therefore congruent by the definition of bisector.
The correct option is MS and QS
Answer:
D
Step-by-step explanation:
edge
Find the value of [2-3(2-3)-1]-1 .
Answer:
the answer to this is 3
Step-by-step explanation:
hope this helps
Answer:
your answer to this question is 3
Step-by-step explanation:
Estimate the measure of ∠DBC.
Could someone please help me with this?
Answer:
Option (4). 135°
Step-by-step explanation:
From the figure attached,
Two pair of vertical angles have been given,
∠ABD and ∠CBE
∠ABE and ∠CBD
One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.
Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.
Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.
Option (4) will be the answer.