Answer:
[tex]-53+22i[/tex]
Step-by-step explanation:
You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:
[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]
Using the digits 9,8,7,0,5,4,6 without repetition, the greatest 7 digit number is
Answer:
9876540
Step-by-step explanation:
it’s the biggest number because it has the numbers in order from least to greatest! Please tell me if you need help with another question similar to this I will help you.
Answer:
9876540
Step-by-step explanation:
saying the digit number you count the big number
Which is the slope of the line that passes through the points (-3, 1) and (4, -2)?
Desmis Unit 7 Practice Day 1
The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The measure of angles are given as,
A 90 degree angleA 100 degree angleA 30 degree angleTo create a triangle with these angles, the sum should be equal to 180 degree of three angles.
90+100+30 > 180
90+90+30 > 180
90+90+100 > 180
100+100+30 > 180
30+100+30 < 180
30+90+30 < 180
There is no combination of angles, which is equal to the 180 degree.
Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
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Mrs. Gottschalk had 60 feet of ribbon. If each of the 20 students in her class gets an equal length of ribbon, how long will each piece be in inches?
The shape is composed of squares and quarter circles. What is the perimeter?
Which values represent solutions to cos
s(1 - x) = x sinx, where x E [0, 27)?
Answer:
[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]
Step-by-step explanation:
!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.
A) 2.8
B) 6.5
C) 4.7
D) 8.2
Answer: B) 6.5
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The "c" variable is the hypotenuse and the other variables are the legs.
a² + b² = c²
3.6² + b² = 7.4²
12.96 + b² = 54.76
b² = 41.8
b = [tex]\sqrt{41.8}[/tex]
b ≈ 6.5
The length of the missing side is about B) 6.5.
Answer:
B)6.5
Step-by-step explanation:
H²=P²+B²
7.4²=3.6²+B²
B=√41.8
B=6.465≈ 6.5
13. 12, 16, *, 20 Find the missing
simplify
[tex]\sqrt{29-12\sqrt{5} }[/tex]
Answer:
[tex] \sqrt{29-12\sqrt{5} }[/tex]
[tex]\sqrt{9 - 12 \sqrt{5} + 4 \times 5}[/tex]
[tex]\sqrt{ {3}^{2} - 12 \sqrt{5} + {(2 \sqrt{5}) }^{2} }[/tex]
[tex]\sqrt{{(3 - 2 \sqrt{5} )}^{2}}[/tex]
[tex]{(3 - 2 \sqrt{5} )}[/tex]
I need help with this ASAP
At Josie’s job, she is paid $12 for every hour she works. Write a
recursive and explicit formula to describe this sequence.
Im also giving Brainlist
Answer:
It would be y=12x
Step-by-step explanation:
I think
Answer:
if x=24°and y = 54°
sin x + sin y
simplify the expression
4(-8x+5)-(-33x-26)
Answer:
x+46
Step-by-step explanation:
x+46 because you do math and dont worry ive done this problem pls can you help me with my problem
What are polynomials?
Polynomials are mathematical expressions made up of many terms.
How to simplify a polynomial?
To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.
we solve ⇒ 4(-8x+5)-(-33x-26)
To distribute
-32x+20-(-33x-26)add up the numbers
-33+20+33x+26Combine like terms.
-32x+46+33xMultiply by 1.
1x + 46Solutionx + 46 ======> Answer In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 2 feet and b = 1 foot, what is c? If necessary,
round to the nearest tenth.
c =
feet
c=2.2feet
The solution in the attached file
Find the length of the third side. If necessary, write in simplest radical form.
2741
8
Answer:
10
Step-by-step explanation:
Let the missing side be 'x'.
Using Pythagorean Theorem, we can find the missing side.
x² + 8² = (2√41)²x² + 64 = 4(41)x² + 64 = 164x² = 100x = 10A sequence starts with: 25 20 15 10... what is the term-to-term rule of the sequence?
PLEASE HELP ! <3 !!!!!!!!!!!!!!!!!!!!!!!
Answer:
7 things an investor should consider when picking stocks:
Trends in earnings growth.
Company strength relative to its peers.
Debt-to-equity ratio in line with industry norms.
Price-earnings ratio as an indicator of valuation.
How the company treats dividends.Effectiveness of executive leadership.
Step-by-step explanation:
In a class of 30 students, 13 of them are boys. What percentage of the class are girls? Give your answer to 1 decimal place.
Answer: 56.7%
Step-by-step explanation:
1) First we need to find the number of girls out of the class of 30:
30-13 = 17 -> 17 girls in the class
2) Then we can set up a part-whole equation like this (I don't know if this is how you learned it, I recommend searching up "part whole percent" if you're confused):
[tex]\frac{17}{30} \frac{x}{100}[/tex] it follows this template: [tex]\frac{part}{whole} \frac{percent}{100}[/tex]
Since we're trying to find the percent and the problem gives us the rest of the info (by the way, that 100 will always stay there, it will never change)
3) Then we cross multiply
17 x 100 = 1700
1700/30 = 56.6666666
4) And since the answer has to be in the 1 decimal place, it would be 56.7
So that means approximately 56.7% of the class are girls
A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what is the width of the cereal box?
The value of the given cone with a volume of 144 has a width is 6 inches.
We have given that,
A box of cereal has a volume of 144 inches squared.
The height of the cereal box is 12 inches, and the depth is 2 inches.
The volume of cone = 144 inches squared.
height=12 inches
depth=2inches
What is the formula of the cube?Area of a cube = V = L * W * H
L-length
W-width
H-height
We have to determine the width cereal box.
Plug the given values in the formula
V = L * W * H
144=2×12×width
Width=144/24
Width=6inches
Therefore the value of the width is 6 inches.
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If XYZ measures 55°, what is the measure of WZ?
a. 125°
B. 305
C. 55
D. 110°
I’ll give brainliest!
Step-by-step explanation:
Line L passes through point (0,2) and (4,0)
If you want to find the gradient of Line L, you can use this formula :
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{0 - 2}{4 - 0} [/tex]
[tex]m = \frac{ - 2}{4} [/tex]
[tex]m = - \frac{1}{2} [/tex]
A parabola can be drawn given a focus of (6, 0) and a directrix of y=8 Write the equation of the parabola in any form.
Answer:
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:
Step-by-step explanation:
Can someone please help me?
The center of the circle will be equal to (-3,4) equation of the circle x²+y²+6x-8y+16=4
What is circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
The general form of the equation of the circle is:-
(x-x₁)²+(y-y₁)²=r²
here x1 and y1 are the center of the circle
Now we will convert our equation in the general form:-
x²+y²+6x-8y+16=4
x²+6xy²-8y+16-4=0
x²+3x+3x+9-9+y²-4y-4y+16-16-4=0
(x+3)²+(y-4)²-9-16+16-4=0 (x+3)²+(y-4)²=13
By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)
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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Tyler concludes that 5x² will always have a larger output for the same value of x.
Look at the graph below and the table given
Take a random value: x = 0
When 5x², y = 0When 2^x, y = 1Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
No it won't be
Take x =9
2^x=2^9=512But
5(9)²=5(81)=405Clearly 2^x surpasses 5x²
So Tyler is wrong
help me whats 93458 divided by 19435
scan qr code for assignment question!
Answer:
[tex]\frac{93458}{19435}[/tex] ≈ 4.81
Step-by-step explanation:
[tex]\frac{93458}{19435}[/tex] can not be simplified
Dray collects marbles of different colour. 7/8 of his marbles are red. 2/9 of the remaining marbles are blue. How many marbles does he have in total, if the number of green marbles that he has is 14?
help with these 10th grade geometry angle problems? will reward brainliest!
Answer:
Step-by-step explanation:
The diagram shows a regular pentagon.
a)
Work out the sum of the interior angles.
b)
Work out the size of one interior angle.
Answer:
a) 540° b) 108°
Step-by-step explanation:
Formula: (n-2)×180°
a) (5-2)×180°
3×180°=540°
b) 540°÷5=108°
n means nr of sides
NEED HELP PLEASE ANSWER ASAP! (41)
Answer:
41. (2) x² - 3x - 4 =0
Step-by-step explanation:
Question 41
Standard form of polynomial
x² - (sum of roots) + product of roots = 0(2) x² - 3x - 4 =0Answer:
(2) [tex]x^2-3x-4=0[/tex]
Step-by-step explanation:
Standard form of a quadratic equation: [tex]ax^2+bx+c=0[/tex]
When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.
So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.
[tex]\implies b=1+-4=-3[/tex]
[tex]\implies ac=1 \cdot -4[/tex]
As there the leading coefficient is 1, [tex]c=-4[/tex].
Therefore, the equation would be: [tex]x^2-3x-4=0[/tex]
Proof
Factor [tex]x^2-3x-4=0[/tex]
Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
The two numbers that multiply to -4 and sum to -3 are: -4 and 1.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies x^2-4x+x-4=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x-4)+1(x-4)=0[/tex]
Factor out the common term [tex](x-4)[/tex]:
[tex]\implies (x+1)(x-4)=0[/tex]
Therefore, the roots are:
[tex](x+1)=0 \implies x=-1[/tex]
[tex](x-4)=0 \implies x=4[/tex]
So the sum of the roots is: -1 + 4 = 3
And the product of the roots is: -1 × 4 = -4
Thereby proving that [tex]x^2-3x-4=0[/tex] has roots whose sum is 3 and whose product is -4.
Does anybody know this? Find the circumference of a circle if the diameter is 8 meters do not round your answer use 3.14 for pi
Answer:
The circumference of the circle is 25.12 meters
Step-by-step explanation:
By definition, the circumference of a circle is the perimeter or the length around the circle.
To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :
C = 2 * pi * r
We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4
Now, we plug in our values:
2 * 3.14 * 4
When we evaluate this, we get the answer to be : 25.12
The circumference of the circle is 25.12 meters
Extra references for the definitions of radius and circumference.
The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.
can someone help me pls
Answer:
90
Step-by-step explanation:
Formula : 180 ( n - 2 ) / n n being the amount of sides
180 ( 4 - 2 ) / 4 = 90
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need to be completely filled?
There are 10 number of 1 cubic inches box required to fill the container completely.
What is a cuboid?
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
We have:
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.
The volume of the prism box = 4×4×3 = 48 cubic inches
Here some data are missing.
We are assuming there are 38 1 cubic inches box already in the big box.
So,
= 48 - 38
= 10
Thus, there are 10 number of 1 cubic inches box required to fill the container completely.
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