Answer:
= 380
Step-by-step explanation:
(38*55) + (-45*38)
(2090) + (-1710)
2090 - 1710
= 380
AB¯¯¯¯¯is a radius. CD←→is tangent to circle A at point B, where AB=7 and EC=18. What is BC?
Circle with center point A. Radius AB is drawn. Tangent line CD is drawn and intersects the circle at point B. Segment AC is drawn from the center point A through point E on the circle to point C on line CD. The lengths of segments are not provided.
BC =
Answer:
BC is 24 units
Step-by-step explanation:
Given that: AB = 7 units
EC = 18 units
From a sketch for the question, we have a triangle ABC. Such that:
AC = AE + EC
But,
AE = AB = 7 (radius of the circle)
So that,
AC = 7 + 18
= 25 units
Applying Pythagoras theorem to triangle ABC, we have:
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]25^{2}[/tex] = [tex]7^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]/BC/^{2}[/tex] = 625 - 49
= 576
BC = [tex]\sqrt{576}[/tex]
= 24
Thus, BC is 24 units.
the absolute value of -6 symbolically
Answer:
Use the ABS function to find the absolute value of a number. The absolute value of a non-negative number (a positive number, or zero), is the same number. For example, the absolute value of 4 is 4.
Step-by-step explanation:
Explanation: The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6
which of the following best describes this graph?
Answer:
B. y=x^2 +7x +10
Step-by-step explanation:
Please help me! I’m so confused!! I will give BRAINLIEST :)
A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent.
If angle BAC = 22 degrees the angle ABC = ?
Answer:
136 degrees
Step-by-step explanation:
if BAC is 22 degrees, than BCA is also 22 degrees. together that's 44 degrees. triangles are 180 degrees in total so 180 - 44 is 136
Answer:
Angle ABC is equal to 136 degrees.
Step-by-step explanation:
Since sides AB and BC are congruent (meaning they are equal to each other), they will have the same angle measurement. So, angle BAC and angle BCA will both have a measure of 22 degrees.
Triangles always add up to 180 degrees, so add 22 and 22 together, and subtract from 180. This leaves you with 136 degrees for angle ABC.
136 + 22 + 22 = 180, so this works!
I hope this helps!
Which expression is the completely factored form of x^6– 64y^3?
Answer:
[tex](x^2-4y)(x^4+4x^2y+16y^2)[/tex]
Step-by-step explanation:
Factoring
We need to recall the following polynomial identity:
[tex](a^3-b^3)(a-b)(a^2+ab+b^2)[/tex]
The given expression is:
[tex]x^6- 64y^3[/tex]
To factor the above expression, we need to find a and b, knowing a^3 and b^3. a is the cubic root of a^3, and b is the cubic root of b^3:
[tex]a=\sqrt[3]{x^6}=x^2[/tex]
[tex]b=\sqrt[3]{64y^3}=4y[/tex]
Now we apply the identity:
[tex]x^6– 64y^3=(x^2-4y)[(x^2)^2+(x^2)*(4y)+(4y)^2][/tex]
Operating:
[tex]x^6– 64y^3=(x^2-4y)[x^4+4x^2y+16y^2][/tex]
The remaining factors cannot be factored in anymore. Thus the completely factored form is:
[tex]\boxed{(x^2-4y)(x^4+4x^2y+16y^2)}[/tex]
six years from now, mark we'll be four times his age today. what is correct equation in terms of Marc's present age A.x+6=4×B.x=4×+6C.4×=×-6D.x=x+4x
Answer: A
Step-by-step explanation: I'm in college. This is middle school math lol
Which expression is equivalent to 4^5x4^-2
Answer:
4^3
Step-by-step explanation:
When you are multiplying exponents with the same base (for this problem the base is 4) you add together the exponents. It is kinda hard to explain but that is just a rule you can use. So, 4^(5+(-2))=4^3
if K is the midpoint of JL, JK = 8x+11 and KL =14x-1 , find JL
Answer:
x = 2
Step-by-step explanation:
Set the equations equal to each other, since JK + KL = JL
8x + 11 = 14x - 1 now solve
12 = 6x
2 = x
what is x and y shown in the photo above?
Answer:
[tex]\huge\boxed{x = 11,\ y = 3}}[/tex]
Step-by-step explanation:
In order to find the value of x and y in this, we have to note a couple of angle relationships.
We know that angles [tex]13x-19[/tex] and [tex]9x+25[/tex] are the same because they are corresponding angles. This means that when a line intersects two parallel lines, the angles formed are congruent to the second line.
This means both expressions for the line will be equal to each other:
[tex]13x-19 = 9x+25[/tex]
We can now solve for x.
Add 19 to both sides:
[tex]13x = 9x+44[/tex]
Subtract 9x from both sides:
[tex]4x=44[/tex]
Divide both sides by 4:
[tex]x=11[/tex]
Now that we know that x = 11, we can use another angle relationship to find y.
We know that [tex]13x-19[/tex] and [tex]17y+5[/tex] are supplementary angles. This means their angle measurements add up to 180°.
Since we know the value of x, we can find the measure of the angle [tex]13x-19[/tex].
[tex]13(11) -19\\\\143-19\\\\124[/tex]
So the [tex]13x-19[/tex] angle is equal to 124 degrees. Since this and [tex]17y+5[/tex] are supplementary, that means [tex]17y+5[/tex] must be equal to [tex]180-124=56[/tex] degrees.
[tex]17y+5=56[/tex]
Subtract 5 from both sides:
[tex]17y=51[/tex]
Divide both sides by 17:
[tex]y=3[/tex]
So, x = 11 and y = 3.
Hope this helped!
Answer:
Y=3
X=11
Step-by-step explanation:
9x + 25 is = to 13x - 19 so you would do exactly that.
9x + 25 = 13x -19
-9x -9x
25 = 4x -19
+19 +19
44 = 4x
4 4
11 = x
9*11+25= 124
And 124 is not equal to 17y+5 so the equation would be
124 + 17y +5 = 180
124 + 5 = 130
129 + 17y = 180
-129 -129
17y = 51
17 17
Y= 3
37.06 - (-26) +34.67
Answer:
97.73
Step-by-step explanation:
Answer:
97.73
Step-by-step explanation:
Given; D is the Midpoint of CE / Prove DE =1/2CE
Answer:
Check explanation
Step-by-step explanation:
Here, we want to make a prove;
Mathematically , since D is the midpoint of CE
Then;
CE = CD + DE
Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE
I.e CD = DE
Hence, we can express CE as follows;
CE = DE + DE
CE = 2 DE
Divide both sides by 2
CE/2 = DE
Hence; DE = 1/2 CE
Which statement is true about milliliters and liters?
There are 30 milliliters in 3 liters.
There are 300 milliliters in 3 liters.
There are 3,000 milliliters in 3 liters.
There are 3,000 liters in 3 milliliters.
Answer: Choice C) There are 3000 milliliters in 3 liters
mL is the abbreviation for milliliters
L is the abbreviation for liters
Since 1000 mL = 1 L, we can multiply both sides by 3 to get 3000 mL = 3 L
If 5( 3×7)=20 then what is 6x-8?
a marathon runner travels 5/2 miles in 1/4 hour. what is the runners unit rate?
Answer: 2/5
Step-by-step explanation:
Multiply and do math
The correct answer is A bit can you please explain how that is the answer!
Answer:
7(x+5)-(2xy^2)
Step-by-step explanation:
"The product of 7" means multiplied by 7
"The sum of x and 5" implies addition
"minus the product of 2, x, and the square of y" means 2, x, and the square of y are all multiplied together subtracted from 7(x+5)
Hope this helps.
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 8,000 ounces on the model is equal to ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold pounds. Therefore, the bridge hold 1 ton.
Answer:
The bridge can hold 1 ton
Step-by-step explanation:
Given that :
Model of bridge built is exactly 4 times smaller than actual bridge
Model bridge : actual bridge
1 : 4
From test,
Model bridge can hold 8000 ounces
Since actual bridge is 4 times the model bridge,;
Then, actual bridge should hold (8000 * 4) ounces = 32000 ounces
16 ounces = 1 pound
2000 pound = 1 ton
Hence,
32,000 ounces = (32000 / 16) pounds = 2000 pounds
Hence,
2000 pounds = 1 ton
Answer: 1 ton
Step-by-step explanation:
-6(-5x-1) = 5x+20
WHAT DOES X EQUAL??
Step-by-step explanation:
30x +6= 5x+20
30x -5x=20-6
25x=14
25x÷25=14÷25
x=0.56
1. Solve 3x^2+7=31 using square roots.
2. Solve x^2-12x=45 by factoring
3. Find the zeros of f(x)=6x^2+9x-6
Answer:
holaaaaaaaa q tallllll
Ollie has $145 in her savings account. She wants to save an additional $35 per week until she reaches $500. Identify the rate of change.
Answer: $75
Step-by-step explanation:
Find the slope of the line passing through the points (-9, -2) and (4, -2).
slope: 0
Cameron has 54 balls. He wants to put the same number of balls into each 9 buckets. Witch multiplication equation shows a way to represent the number of balls that should go in the bucket. 1. 9 x _ = 54 2. 9 x 54 = _ 3. 54 x _ = 9 4 . 9 x 9 = _
2(3x - 5) < 4X
Solve the inequality
Answer:
5 > x
Step-by-step explanation:
2(3x - 5) < 4x
~Distribute left side
6x - 10 < 4x
~Subtract 6x to both sides
-10 < -2x
~Divide -2 to both sides
5 > x
Best of Luck!
Kate has a 15% mistake in a 60-item test. How many mistake does Kate have in test
Answer: 9 mistakes
Work Shown:
15% = 15/100 = 0.15
15% of 60 = 0.15*60 = 9
Answer:9
Step-by-step explanation:
Simplify the expression 5(3x - 7 + 4y)
Answer:
15x - 35 + 20y
Step-by-step explanation:
Simplify. Distribute 5 to all terms within the parenthesis:
5(3x - 7 + 4y) =
5 * 3x = 15x
5 * -7 = -35
5 * 4y = 20y
15x - 35 + 20y is your answer.
~
what is 18 X 19 i cants figure it out
Answer:
342
Step-by-step explanation:
Answer:
342
Step-by-step explanation:
If you were asking what 18 times 19 was thats the answer.
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months (m) does the zookeeper need to wait for the two snakes to be the same length?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Anaconda:
Current length = 5.23metres
Growth rate = 1.27 metres per month
Python :
Current length = 4.76metres
Growth rate = 2.04metres per month
Number of months (m) in which both will be of the same length:
Anaconda = python
5.23 + 1.27m = 4.76 + 2.04m
Solve for m
5.23 - 4.76 = 2.04m - 1.27m
0.47 = 0.77m
0.47 / 0.77 = 0.77m / 0.77
0.610 = m
Answer:
yessir
Step-by-step explanation:
5 stars if correct!! HELP FAST PLEASE!!!
Answer:
1 banana = 0.25
Step-by-step explanation:
Find the proportion. Simply divide the cost from the amount of bananas given:
0.50/2 = 0.25
1.00/4 = 0.25
1.50/6 = 0.25
$0.25 is the cost per banana, and is your proportion.
~
Answer:
1 banana = + $0.25
2 bananas = + $0.50
Step-by-step explanation:
If it is increasing %0.50 for every 2 bananas then that also means it's increasing $0.25 for every 1 banana.
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?
Answer:
-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:
$0.91*3.8=$3.46
This means that a gallon of gas cost $3.46 in Toronto.
-$3.46-$2.29=$1.17
Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.
Mr. Nguyen had 5/8 of a gallon of gasoline. He used 1/2 of a gallon in his lawn mower.
How much gasoline does Mr. Nguyen has left?
A.
4/8 of a gallon
B.
1/8 of a gallon
C.
1/6 of a gallon
D.
4/6 of a gallon
Answer:
1/8 of a gallon
Step-by-step explanation:
5/8=5/8
1/2=4/8
5/8-4/8= 1/8
Answer:
It´s C (AKA) 1/8 G
I did the test.
3x + 2y = 6 is an equation in standard form.
The value of y when x is 0 is
.
The value of x when y is 0 is
.
Answer:
The value of y when x is 0 is
3
The value of x when y is 0 is
2
Step-by-step explanation it correct on Edge
Answer:
The first one is 3 and the second one is 2
Step-by-step explanation:
Just took it