Given:
The expression is
[tex]13\sqrt {22b}-10\sqrt{22b}, b>0[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]13\sqrt {22b}-10\sqrt{22b}[/tex]
Taking out common factors.
[tex]=(13-10)\sqrt {22b}[/tex]
[tex]=(3)\sqrt {22b}[/tex]
[tex]=3\sqrt {22b}[/tex]
The expression [tex]3\sqrt {22b}[/tex] is equivalent to the given expression.
Therefore, the correct option is D.
A 12-foot ladder is placed 4 feet away from a house as shown.
A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.
What is the value of x, rounded to the nearest degree?
x ≈
°
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.
Is this ladder being used safely?
Answer:
Answer: x = 71 degrees. Yes, the ladder meets safety standards
Discussion:
The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x". For this triangle,
cosx = (side adjacent to angle) / hypotenuse
= 4 / 12
= 1/3
To find "x" take the inverse cosine of each side to find that :
x is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.
Step-by-step explanation:
HOPE THIS HELPED!
-
Answer: x = 71
yes
Step-by-step explanation:
Which best explains why the equation y=2x+3 does or does not represent a proportional relationship?
Answer:
It represents a non-proportional relationship
Step-by-step explanation:
because in order for it to be proportional it has to pass (0,0) but this equation's y-intercept is (0,3).
PLEASE HELP
Complete the square x² + 16.0
Answer:
x^2 + 16x + 32
Step-by-step explanation:
I am going to guess this is from factoring.
In which you need to x's multiplied together to get x^2. So you have:
(x+?) (x+?)
to get 16x you need two 8x's in your factoring square. so it would be
(x+8) (x+8)
Now you found out what you were mulitpling together, then you solve. The final part is multiplying 8 by 8, which is 32.
Could you help me on this, I need to submit soon as well :)
Answer:
6
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
Can someone answer these two problems??
9514 1404 393
Answer:
B
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx + b
where the slope is m = -3 and the y-intercept is b = +2.
So, the graph will have a slope of ...
"rise"/"run" = -3 = -3/1
and will cross the y-axis at y=2.
Graphs A and B cross the y-axis in the right place, but only Graph B has a negative "rise" a x increases.
I need help on this pls. Will give brainliest.
Answer:
a, b, and d
Step-by-step explanation:
you can have the same output, but not the same input
Answer: a, b, d
Step-by-step explanation:
the x values (input values) CANNOT be the same in a set of coordinates; if they do have the same x values, then the are not a function.
both c and e have some of the same x values so they can't pass the vertical line test and therefore are not functions.
hope this helps!!
What is the domain of the relation {(-2, 4), (1, 3), (0, -4), (3, 2)}?
Answer:
{-2,1,0,3}
Step-by-step explanation:
I just looked it up lol
plz mark me brainliest
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]\sqrt{3}[/tex]/6
Step-by-step explanation:
30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2
create a proportion: (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)
cross-multiply: 6x = [tex]\sqrt{3}[/tex]
divide by 6
Expand and simplify
(x - 1)(2x + 3)
Answer:
2x^2+x-3
Step-by-step explanation:
Answer:
2x² + x - 3
Step-by-step explanation:
You need to foil the equation.
Foil = (a + b)(c + d) = ac + ad + bc + bd
(x - 1)(2x + 3)
x · 2x = 2x²
x · 3 = 3x
-1 · 2x = -2x
-1 · 3 = -3
Putting them together gets us:
2x² + 3x - 2x - 3
Add like terms to simplify it.
2x² + x - 3
The boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
decisions are worth 4 points. Write an equation to represent this situation.
Answer:
6p + 4d = 36
Step-by-step explanation:
If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.
Hope this helps!
Please help I don’t understand
Answer:
Step-by-step explanation:
so many isosceles triangles
y = 4 .. just by inspection.. we can see
SOH CAH TOA <= ask me about this if you don't get it
Cos(x) = Adj / Hyp
we don't know the Hyp this time so solve for that
Hyp = Adj / Cos(x)
Hyp = 4 / Cos(45)
Hyp = 4 / [tex]\sqrt{2}/2[/tex]
maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply
Hyp = 4 * 2/[tex]\sqrt{2}[/tex]
Hyp = 8/ [tex]\sqrt{2}[/tex]
also we are supposed to write as a decimal rounded to the nearest 10th
Hyp = 5.66
NEED HELP PLEASE 20 POINTS!!!!
Can somebody help me with these 3. Will mark brainliest.
What is the square root of 100?
Answer:
the square root of 100 is 10
10x10=100
Answer:
the square root of 100 is 10
Step-by-step explanation:
36. Write the triangle congruence criterion illustrated
by each pair of triangles.
Answer:
A - ASA
B - ASA
C - SAS
D - SSS
Step-by-step explanation:
I hope this helps you out!
4 - y over 5 = 2 - 2y over 8
I’m just really tired lol (and lazy)
Answer:
40 if i did the equation right and ignore this wiehdnsjw
Answer:
egg egg egg egg egg
Step-by-step explanation:
1+1=1972-1=egg
does anyone know the answer to this ?
Answer:
tangent
Step-by-step explanation:
90% sure answer at your own risk
Can someone help me please
Answer:
0.19 50% 15/20 9/10 95%
Step-by-step explanation:
I know
Which number is equivalent to?
Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6
Answer:
They both equal
Step-by-step explanation:
The statement is true about ∠2 and ∠6 is corresponding angles.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
Parallel lines j and k are cut by transversal t .
We have to find statement is true about ∠2 and ∠6.
According to given question we have
Parallel lines j and k are cut by transversal t .
So,
∠2 = ∠6 ( corresponding angles)
∠1 = ∠5 ( corresponding angles)
Therefore, the statement is true about ∠2 and ∠6 is corresponding angles.
Learn more details about line here:
https://brainly.com/question/2696693
#SPJ1
If you can answer 10, 11, and 12 for me that would be awesome. (12 multiply choice would be in the comments)
answer for brainliest
Answer:
the last option is the right answer
Step-by-step explanation:
last week:
d = 18
d = 18h = 6
this week:
d = 2.5h
i. if she walked for 6 hours this week, h = 6
d = 2.5h
d = 2.5 × 6
d = 15
* this means she walked at slower pace this week as she can only cover 15 miles in 6 hours whereas she can cover 18 miles in 6 hours last week
ii. if she walked for 18 miles this week, d = 18
d = 2.5h
18 = 2.5h
h = 18/ 2.5
h = 7.2
* this means she walked at a slower pace this week as she needs 7.2 hours to cover 18 miles whereas she only need 6 hours last week
How many groups of ten are there in 230
Answer:
23
Step-by-step explanation:
230/10=23
since it got deleted last time -_-
What is the value of the expression
3c^2-5d + 8 c= 5 and d= 4
Answer:
I believe that the answer is 213
Step-by-step explanation:
HELP Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?
The p-value is 0.0013. He should reject the null in favor of the alternative.
The p-value is 0.0013. He should fail to reject the null.
The p-value is 0.9987. He should reject the null in favor of the alternative.
The p-value is 0.9987. He should fail to reject the null.
There is not enough information provided to calculate the p-value and make a conclusion.
Answer:
d
Step-by-step explanation:
Help me on this new one please
A student examines the triangle shown above. He notices that lines BE andCD look parallel. The student claims that they are parallel by look aLone ?
to the nearest 50 square feet what is the area of the actual store?
Larry bought a lawn ornament that was marked down 60% from an original price of $75. If he paid 10% sales tax, what was the total cost of the lawn ornament?
Answer:
$33
Step-by-step explanation:
Hope this helps!
Help please! Geometry will provide brainly
Answer:
Dilate triangle ABC with scale factor 1/3, then reflect over the line segment CD.
=================================================
Explanation:
We're given that BC = 18 and EC = 6. In order to map ABC onto DEC, we need to have the triangles the same size. In other words, the triangles must be congruent and in the same location. One triangle will be on top of the other.
To make triangle ABC congruent to triangle DEC, we need to have BC = EC. Currently BC is 3 times longer than EC. So we need to dilate with a scale factor 1/3
Note how (1/3)*18 = 6. This scale factor will reduce segment BC so it goes from 18 units long to 6 units long. The same applies to the other segments of triangle ABC.
----------------------
After the dilation, triangle ABC is the same size and shape as triangle DEC. However, the two triangles are not in the same location. We would need point B to be at the same location of point E for the triangles to match up perfectly (point A and point C are already in their proper locations).
To move point B to E, we need to apply a reflection over the horizontal line CD. This will not move points A and C. Points on the line of reflection stay where they are.
---------------------
So to summarize, we apply a dilation with scale factor 1/3 to triangle ABC. This gets triangle ABC to the right size. Then we reflect over the line segment CD so that point B moves to point E's location.
