Answer:
14
Step-by-step explanation:
4^2 - 2(1)
16-2= 14
I hope this helped <3
Answer:
14
Step-by-step explanation:
plug in the values for x and y
if x = 4 then we have 4²- 2y
then it also says y = 1 so we now have 4²- 2(1)
4 squared is 16 and 2 times 1 is 2
16 - 2= 14
Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.
Answer:
-24
Step-by-step explanation:
simplify using a positive exponent : 2 ^-3
Answer:
1/2^3
Step-by-step explanation:
When an exponent is negative you flip the fraction, in this case from numerator to denominator.
1/2^3
Step-by-step explanation:
can someone pls answer this question for my sis she's in the 4th grade and i don't remember how to solve this
17/15 - 4/5
TYSM( btw worth twelve points )
Answer:
i think its 13/45
Step-by-step explanation:
Alison has 63 books on her bookshelf. If she plans on donating ⅓ of her books, how many will Alison have left on her bookshelf?
Answer:
42 books.
Step-by-step explanation:
What the question's really asking is 63 * 2/3, since 2/3 is all that's left after she donates 1/3 of her books. ( 63 / 3 ) * 2= 42.
Therefore, Alice will have 42 books remaining.
Answer:
Step-by-step explanation:
Step-by-step explanation:
( 63 / 3 ) * 2= 42. Therefore, Alison will have 42 books remaining.
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.
What is a triangle?A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle ΔDEF.
The centroid of the given triangle is G.
The medians of the triangle are DC, EB and FA.
CG = (x + 5)
DG = (3x - 2)
Here, CG and DG are parts of the median DC.
Since, centroid of a triangle divides its each medians into the ratio of 2 : 1
in the direction from the vertex to the midpoint of the opposite side.
The following expression can be written for the given problem,
DG/CG = 1/2
=> (3x - 2)/ (x + 5) = 1/2
=> 2(3x - 2) = x + 5
=> 6x - x = 5 + 4
=> x = 9/5
=> x = 1.8
Thus, DG = (3x - 2)
= 3 × 1.8 - 2
= 2.4
Hence, the length of DG is given as 2.4 unit.
To know more about triangle click on,
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Answer:
34 units
Step-by-step explanation:
The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.
Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Given:
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ=3a+4[/tex]
[tex]XY=5a-12[/tex]
To find:
The value of a and PQ.
Solution:
We have,
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ\cong XY[/tex] (CPCTC)
So,
[tex]PQ=XY[/tex]
[tex]3a+4=5a-12[/tex]
Isolating variable terms, we get
[tex]3a-5a=-4-12[/tex]
[tex]-2a=-16[/tex]
Divide both sides by -2.
[tex]a=\dfrac{-16}{-2}[/tex]
[tex]a=8[/tex]
Now,
[tex]PQ=3a+4[/tex]
[tex]PQ=3(8)+4[/tex]
[tex]PQ=24+4[/tex]
[tex]PQ=28[/tex]
Therefore, the value of a is 8 and the value of PQ is 28.
whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?
Answer:
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Step-by-step explanation:
Given points are:
(-5,3) and (3,7)
The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.
First of all we have to find the slope and mid-point of given line
Here
(x1,y1) = (-5,3)
(x2,y2) = (3,7)
The slope will be:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]
The mid-point will be:
[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]
Let m1 be the slope of the perpendicular bisector
Then using, "Product of slopes of perpendicular lines is -1"
[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]
We have to find the equation of a line with slope -2 and passing through (-1,5)
The slope-intercept form is given by:
[tex]y = mx+b\\y = -2x+b[/tex]
Putting the point (-1,5) in the equation
[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]
The final equation is:
[tex]y = -2x+3[/tex]
Hence,
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Question 10
10 pts
Miguel wants to repair his home. He places a 17-foot ladder against the side of the house 8feet
from the base of the house. What is the height of Miguel's home, x, from the ground to the top of
the ladder at the roof, to the nearest tenth of a foot?
could someone please help me with this
Answer:
E is the correct choice
Step-by-step explanation:
i hope this helps
(-4,1) (0,5) in slope-intercept form
Answer:
F(x)=1x+5
Step-by-step explanation:
Answer:
y = x + 5
Step-by-step explanation:
(-4, 1) and (0, 5)
To find slope, it's [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
So 5 - 1 / 0 - (-4) -> 4/4 = 1
1 is the slope, so y = x + b.
To find b, plug one of the points into the formula. I'll use (0, 5).
(5) = 1 (0) + b
b = 5
So the equation in slope-intercept form is y = x + 5.
Evaluate \dfrac p4 +pq
4
p+pqstart fraction, p, divided by, 4, end fraction, plus, p, q when p=8p=8p, equals, 8 and q=6q=6q, equals, 6.
Answer:
4
Step-by-step explanation:
Answer:
its 50
Step-by-step explanation:
Evaluate -x + 8 for x = 5.
Answer:
3 is the answer
Step-by-step explanation:
-(5)+8
-5+8=3
you just change x for 5 and go from there
In this problem, you have to use substitution!
-x + 8, when x = 5
1) Substitute the value of 'x' with '5'
-x + 8
= -5 + 8
2) Reverse the expression to make it easier to solve [optional]
-5 + 8
= 8 - 5
3) Solve!
8 - 5
= 3
Your answer is 3
I hope this helps!
- sincerelynini
The Invisible Hand promotes
A. marketplace inflation
B. marketplace competition
C. marketplace monopolies
D. marketplace shortages
The diameter of a circle is 20 centimeters.
What is the length of its radius?
Answer:
10 cm
Step-by-step explanation:
Diameter= 2X radius
20/ 2 = radius
20/2 = 10 cm
How can you use the coordinates of two points on a line to determine the slope of the line?
Answer:
you can use the slope intercept formula!
y2-y1/x2-x1
Step-by-step explanation:
lets take an example!
the coordinates of 1 point are (2,4) and the other point is (4,6)
so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.
6-4/x2-x1
lets do same for x!
6-4/4-2
lets solve
2/2
=1
the slope is 1
The weight of a mandarin orange is about 6 ounces. A basket that weighs 4 ounces will hold m mandarin oranges, the total weight is 70 ounces. Which equation represents the basket of oranges?
4 + 6m = 70
6 + 4m = 70
70 + 4m = 6
70 + 6m = 4
.
Answer:
4 + 6m = 70
Step-by-step explanation:
4 is the basket
6m is the total weight of mandarins
70 is total weight
Answer
A is the answer
Tell which number is greater.
17%, 4/25
HELP PLEASE!!!!!!!!!!!! :O
Answer:
2, 3, 4, 5, 6
Step-by-step explanation:
Let's break this inequality into two parts:
3 < 3x - 1 ← Inequality I3x - 1 < 2x + 6 ← Inequality IISolve Inequality I.
3 < 3x - 1Add 1 to both sides.
4 < 3xDivide both sides by 3.
4/3 < xSolve Inequality II.
3x - 1 < 2x + 6Subtract 2x from both sides.
x - 1 < 6Add 1 to both sides.
x < 7Combine these two inequality solutions.
4/3 < x < 7Integer solutions to this inequality would be any integer between 1 (4/3 = 1.3...) and 7, exclusive.
These five numbers are 2, 3, 4, 5, 6.
❗️DO NOT GIVE THE ANSWERS❗️
Please explain the process on how to do it.
Answer:
Check below for the process
Step-by-step explanation:
So ill take a) for example. it says that y is equal to 4 times x. y referring to the column y. So in the first row when it says x is one you would have to do 4 times 1 to find what would be in y
3,000 is 1/10 of?-
300
300,000
3,000
30,000
Answer:
30,000
Step-by-step explanation:
3,000 times 10 is 30,000, therefore 30,000/10=3,000
Answer:
Step-by-step explanation:
3000 of 1/10
3000*0.1=300
Indicate whether the measures 3.1, 4.8, and 10.2 can be the side lengths of a triangle. If they can, classify the triangle.
The measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
What is triangle inequality?"It states that the sum of any two sides must be greater than the third side."
For given question,
we have been given the measures 3.1, 4.8, and 10.2
We need to check whether given measures can be the side lengths of a triangle.
First we check whether the given measures obey triangle inequality or not.
3.1 + 4.8 = 7.9
7.9 < 10.2
This means, the measures 3.1, 4.8, and 10.2 do not obey triangle inequality
Therefore, the measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
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TRUE OR FALSE:
7x - 9 = (7x - 1)(9)
Answer:
false
Step-by-step explanation:
7x-9=(7x-1)(9)
7x-9=63x-9
so, the LHS is not equal to RHS.
I'm in need of assistance here, please answer ASAP!
What u need help with?
Answer: where do you need assistance
Step-by-step explanation:
A cookie recipe states for every 3 cups of flour, 1.5 teaspoons of vanilla are
needed. How many teaspoons are needed for 5 cups of flour? Answer as a
decimal and without units. *
Answer:
2.5 Teaspoons of vanilla are needed.
Step-by-step explanation:
If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.
If you have 5 cups of flour 5 x .5= 2.5 (teaspoons)
If 2 : 9 = x : 18, then find the value of x
Answer:
4
Step-by-step explanation:
4 is the answer
Answer:
4
Step-by-step explanation:
2/9=x/18
9x=36
x=4
a bed of a pickup truck measures 4 ft by 8 ft to the nearest inch what is the length of the longest thin metal bar that will lie flat in the bed
Answer:
11 ft 3 in
Step-by-step explanation:
The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.
Answer:
Step-by-step explanation:
the diagonal is the longest so use Pythagoras
c^2 =a^2 + b^2
c^2=4^2+8^2
c^2=16+64
c =[tex]\sqrt{80}[/tex]
c = 8.944 ft
wing
You find that the number of
messages you recelve on your
message board varies directly as
the number of messages you post.
When you post 5 messages, you
receive 12 messages in return.
Find the number of messages you
need to post to receive 96
messages.
If UW = 9x -9, what is UW in units?
A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?
Answer:
30% increase
Step-by-step explanation:
First, find the difference between the prices:
156,000 - 120,000
= 36,000
Then, find what percent this is of the original price:
36,000/120,000
= 0.3
So, the percent increase is 30%
Solve each equation for x. Provide the Justifications for each step.
6-2x=10