Answer:
The complex number is;
37 + 55i
Step-by-step explanation:
Here, we want to find the product of the two
We proceed as follows;
(3 + 2i)(17+ 7i)
= 3(17 + 7i) + 2i(17 + 7i)
= 51 + 21i + 34i + 14(i)^2
Recall; i = √(-1)
Thus, we have it that;
51 + 55i -14
= 51-14 + 55i
= 37 + 55i
if a triangle has one angle that measure 81 degrees and another that measures 47 degrees, what is the measure of the third angle?
Answer: 52
Step-by-step explanation:
81 + 47 is 128.
180 - 128 =52 degrees.
:)
to multiply two fractions multiply the numerator by the and the denominator by the
Answer:
Multiply the numerator by the numerator and the denominator by the demoninator.
Step-by-step explanation:
Answer:
Nope, to multiply two fractions = numerator × numerator / denominator × denominator
Step-by-step explanation:
For Example:
[tex]\frac{5}{3}[/tex] × [tex]\frac{8}{2}[/tex]
Multiply 5 by 8
40
Multiply 3 by 2
6
Result: [tex]\frac{40}{6}[/tex]
Finally Simplify
[tex]\frac{40}{6} =[/tex] [tex]40[/tex] ÷ 6 = [tex]6\frac{4}{6}[/tex] or 6.6 as a decimal
HELP!!!!
Best answer gets brainliest.
Answer:
t-6=7 .................
Answer:
t - 6 = 7
Step-by-step explanation:
Put these numbers in order from least to greatest.
1/8,1/2,0.13, and 7/8
Answer: 1/8, 0.13, 1/2, 7/8
Step-by-step explanation: Mental Math
Step-by-step explanation:
0.13,1/2,1/8,and 7/8
hope it is helpful to you
Joseph and Mark have $230. Joseph and Kevin have $130. Mark had 3 times as much money as Kelvin. How much money does Kelvin have?
Answer:
Step-by-step explanation:
Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is
J + M = 230. The second equation is
J + K = 130. The third equation is
M = 3K. Sub that 3K into the first equation and get
J + 3K = 230. Now take th second equation and solve it for J:
J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:
130 - K + 3K = 230 and
2K = 100 so
K = 50
Kevin has $50
GIVEN: f(x)=3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)=-x^(2)+3
FIND: (hg)(x)
a. 2x^2+x+2
b. none of these answers
c. 32x^2+4x
d. 8x^2-12x+5
Answer:
32x^2+4x
3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)
Find angle C!!!!! See the image below! I need this answer fast
Answer:
55
Angle C is a inscribed angle of the of Arc Ba.
CA is the diameter so that means Arc BA equal 110 becuase
110+70=180.
Angle C is half of Arc BA so Angle C is
[tex]55[/tex]
the gravitational acceleration on Earth is 9.8m/s^2 what is the weight of a car on earth if the mass is 1360
Answer:
13328 N
Step-by-step explanation:
9.8 m/s^2 • 1360 = X
13328 N = X
Given that X = - 2 and y = 4 , Evaluate the expression. 5y – 4x
Answer: 28
Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.
In Which Quadrant is this true
Given:
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
To find:
The quadrant in which [tex]\theta[/tex] lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only [tex]\sin\theta[/tex] and [tex]\csc\theta[/tex] are positive.
In Quadrant III, only [tex]\tan\theta[/tex] and [tex]\cot\theta[/tex] are positive.
In Quadrant IV, only [tex]\cos\theta[/tex] and [tex]\sec\theta[/tex] are positive.
We have,
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
Here, [tex]\sin\theta[/tex] is negative and [tex]\tan\theta[/tex] is also negative. It is possible, if [tex]\theta [/tex] lies in the Quadrant IV.
Therefore, the correct option is D.
Solve the following quadratic equation. *
x^2+12x-45=0
Answer:
9 over 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x^2 + 12 - 45 = 0
solving by middle term break method
x^2 + (15 - 3) - 45 = 0
x^2 + 15x - 3x - 45 = 0
x(x + 15) - 3(x + 15) = 0
(x + 15)(x - 3) = 0
either x + 15 = 0 OR, x - 3 = 0
x + 15 = 0
x = 0 -15
x = -12
x - 3 = 0
x = 0 + 3
x = 3
therefore x = -12,3
i have done solution for the given question in two different methods.
the solution done in note copy is by using quadratic formula.
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side LM. Round your answer to the nearest tenth if necessary.
Answer:
LM = 24.3
Step-by-step explanation:
In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.
Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as
LK / HG = LM / IH
34/7 = LM / 5
Multiply both sides by 5
34*5/7 = LM
LM ≈ 24.2857
Rounding to the nearest tenth, LM = 24.3
Answer:
24.3
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
If (a,3) is the point lying on the graph of the equation 5x + 2y = -4, Then find a.
Answer:
I've attached the Answer
Answer:
a = - 2
Step-by-step explanation:
Given x = a, y = 3 lies on the equation. That is the values satisfies the equation when substituted.
Find a :
Equation : 5x + 2y = - 4
5 ( a ) + 2 ( 3) = - 4
5a + 6 = - 4
5a + 6 - 6 = - 4 - 6 [ subtracting both sides by 6 ]
5a + 0 = - 10
5a = - 10
a = - 2 [ dividing both sides by 5]
[ fact check : If (-2 , 3 ) lies on the equation : 5x + 2y = - 4
5(-2) + 2( 3 ) = - 4
- 10 + 6 = - 4
- 4 = - 4 ]
The ages of five children in a family are 6, 1, 3, 10, and 17. Which statement is true for this group of data?
mode>mean
median>mean
median=mode
mean>median
Answer:D - mean>median
Step-by-step explanation:
There are no repeating variables to have a mode so median and mean are the only options. The mean of this data set is 7.4 and the median is 6. Therefore mean greater than median
What’s the equation of the blue line?
Answer:
Step-by-step explanation:
The equation of blue line A is x = 1.
That of blue line B is y = 4.
If 12 rolls of toilet paper cost $4 how many rolls of toilet paper can you buy for $8?
Answer:
24 rolls
Step-by-step explanation:
12 rolls x rolls
------------ = ------------------
4 dollars 8 dollars
Using cross products
12*8 = 4x
96 = 4x
Divide by 4
96/4 = 4x/4
24 =x
24 rolls
)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
will require 8 5/6 tons of it. How much fertilizer will the farmer have left for his other crops?
Answer:
7 5/6
Step-by-step explanation:
16 2/3 - 8 5/6
16 4/6- 8 5/6
7 5/6
what is the scale factor from figure a to figure b
Scale factor from figure a to figure b = DIVIDE BY 3
{Check:- 33/3 = 11 & 15/3 = 5}
hope this helps :)
Answer:
1/3
Step-by-step explanation:
These two quadrilaterals are similar because figure A's sides are 3 times figure B's sides. Figure A's bottom is 15, while figure B's bottom is 5. To get from 15 to 5, we multiply by 1/3. This is the scale factor. All the other sides of figure A are also 3 times bigger than figure B's.
Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False
Answer:
False
Step-by-step explanation:
solve for x, show work please! 25 points.
Answer:
C
Step-by-step explanation:
8x + 2 = 7x + 8
<=> 8x - 7x = -2 + 8
<=> x = 6
Answer:
Option CStep-by-step explanation:
Here,
8x + 2 = 7x +8 [Since Alternate interior angle]
=> 8x - 7x = 8 - 2
=> x = 6 (Ans) (Option C)
Jamal puts $100 in an account that does not earn any interest. Every month after that, he deposits the same amount of money. This sequence represents his account balance for the first few months. $100, $125, $150, What is the explicit formula in function form for the amount of money in his account at the beginning of month n?
Answer:
Tn = 75+25n
Step-by-step explanation:
The balance are in arithmetic progression
$100, $125, $150...
The formula for calculating the nth term of the sequence is expressed as;
Tn = a+(n-1)d
a =100
d = 125 - 100 = 150 - 125
d = 25
n is the number of terms
Substitute
Tn = 100+(n-1)*25
Tn = 100 + 25n-25
Tn = 75+25n
Hence the nth term of the sequence is Tn = 75+25n
SOMEONE HELP ME ASAP IM STRESSING OUT
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
10 points!!!!! Do 14 and 15 only hurry please.
Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
Answer:
14. 13x+5x
=18x
180(angles on a st. line)= 18x
180/18
=10
RSU=13*10=130
UST=5*10=50
PLEASEEE I nEEED THE ANSWER TnT
NOTE: pls ignore another language just read the english one... ASAP
Answer:
x -1 1 3
y -2 -4 2
Step-by-step explanation:
y=x^2-x-4
when x=-1
y=(-1)^2-(-1)-4
y=1+1-4
y=-2
when x=1
y=(1)^2-(1)-4
y=1-1-4
y=-4
when x=3
y=(3)2-(3)-4
y=9-3-4
y=9-7
y=2
Guys help on this I hate math !!!
Answer:
1. 194
2. 189
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
Answer:
1. 194 people increased.
2. Edith has 189 stamps more than Parick.
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
A plane and a line not in that plane which are parallel to the same line, are parallel to each other. Always, sometimes, or never
Answer:
a line and a plan are considered parallel if they have no points in common if two parallel planes are cut by a third plane then the lines of intersection are parallel
A researcher shows Trey two containers of the same size, both containing the same amount of marbles. The researcher pours one container of marbles into container that is taller, but smaller in diameter so the level of marbles is higher than in the other container. When the researcher asks Trey which container has more marbles, Trey points to the taller, thinner container. What type of task has Trey been tested on
Answer:
Conservation
Step-by-step explanation:
Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.
A car covered 450km in 5 hours. find the speed in meters per second
Step-by-step explanation:
Hey there!
Given;
Distance (d) = 450 km = 450*1000 = 450000 m
Time(t) = 5 hours = 5*60*60 = 18000s
Now;
Speed (s) = Distance (d) /Time(t)
Or, s = 450000/18000
Or, s = 25m/s.
Therefore, the speed is 25m/s.
Hope it helps!
Answer:
The car has a velocity of 25 m/s.
Step-by-step explanation:
There are two ways to solve this problem.
First way :
450km = 450.000m
5h = 5x 3.600s =18.000s
v = s/t = 450.000 / 18.000 = 25m/s
Second way :
Velocity = speed/time = 450 / 5 = 90 km/h
90/3.6 = 25 m/s
Either way, the car has a velocity of 25 m/s.
x
+
5
y
=
20
x
+
3
y
=
14
Answer:
A) x + 5y = 20
B) x + 3y = 14
Multiplying A) by -1
A) -x -5y = -20 then adding B)
B) x + 3y = 14
-2y = -6
y = 3
x = 5
Step-by-step explanation:
