Answer:
x = 10
6x - 6 = 54
Step-by-step explanation:
The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).
So our proportion:
63/(6x-6) = 49/42
Cross multiply
63*42 = 49*(6x-6)
2646 = 294x-294
2940 = 294x
x = 10
Double-check:
63/(6*10 - 6) = 49/42
63/(60 - 6) = 49/42
63/54 = 49/42
7/6 = 7/6
6x - 6 = 6(10) - 6 = 60 - 6 = 54
You have to evaluate
3³+11-10÷2×4=w
Answer:
18
Brainliest, please!
Step-by-step explanation:
3^3 + 11 - 10 / 2 x 4 = w
27 + 11 - 10 / 2 x 4 = w
27 + 11 - 5 x 4 = w
27 + 11 - 20 = w
38 - 20 = w
w = 18
Scils Practice convert the following factions into decimals. You must show your work.
How can I turn the fraction 3/12 into a decimal?
Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)
Answer:
k=-5
Step-by-step explanation:
For the points to be collinear any two pair must have the same slope
We find the slope of the 2nd and 3rd points
=1-2/-1--3
=-1/2
Now finding the slope of the 1st and any other point say point 3
1-3/-1-k=-½
-2/-1-k=-½
-4=-1(-1-k)
-4=1+k
k=-4-1
k=-5
PROOF
if the first point is (-5,3)
slope of point 1 and 2
=2-3/-3--5
=-1/2
John is printing advertisement flyers for his business on colored sheets of paper. There
are 500 sheets of paper in one ream and a toner cartridge will print 2,000 sheets. John
has 3 toner cartridges and 15 reams of paper. Which will he run out of first?
Answer:
John will run out of toner cartridges first
Step-by-step explanation:
First, find how many sheets he can print with the 3 toner cartridges:
3(2000)
= 6000 sheets of paper
Find how many sheets of paper he has:
15(500)
= 7500 sheets of paper
Since 6000 is less than 7500, John will run out of toner cartridges first.
what is -2 1/3 - (-5)=
Answer:
[tex] \frac{8}{3} [/tex]
Step-by-step explanation:
[tex] - 2 \frac{1}{3} - ( - 5)[/tex]
convert mixed fraction into improper fraction.
[tex] - \frac{7}{3} + ( - 5)[/tex]
calculate the sum of the fraction:
[tex] \frac{8}{3} [/tex]
What is 5 2/3 in radical form?
1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
A. quadratic; y = –2.5x2
B. linear; y = 2.5x
C. exponential; y = 2.5x
D. quadratic; y = 2.5x2
Answer:
D. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
A. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
RS = 3y + 3, ST = 2y + 7, and RT=-10y-10
3/4x + 4/7y = 5/4x -1...solve for y
Answer:
[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]
I hope I helped you^_^
g(x) = f(x) +2
if f(x) is 2x
Answer:
You didn't put the question well but if I am right, the question is asking of g(x) if f(x) is 2x.
then g(x)=2x+2
Please help!
Please explain your answer because I need to learn this!
Find the measure of angle theta.
Answer:
48.2
Step-by-step explanation:
We have a right angle so we can do our three trig ratios,
Sine Cosine Tangent
Remeber SOHCAHTOA.
We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.
[tex] \cos(theta) = \frac{36}{54} [/tex]
[tex] \cos(theta) = \frac{2}{3} [/tex]
Take the inverse of both sides
[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]
Theta is equal to
[tex]48.2[/tex]
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]
Answer:
a) 23 and b) 13
Step-by-step explanation:
I. If f(g(x)) is composit function
Find fog and gof
fog = 3(g) - 1
= 3(x+5) -1
= 3x + 15 -1
= 3x + 14
gof = (f) + 5
= (3x - 1) +5
= 3x + 4
II. Fill in a) and b) question
lim x -> 3 fog
= 3(x) + 14
= 3(3) + 14
= 9 + 14
a) = 23
lim x-> 3 gof
= 3x + 4
= 3(3) + 4
= 9 + 4
b) = 13
Got more question or something to discuss, leave comment below
What is the segment 7x+5=8
Step-by-step explanation:
7x - 5 = 8
7x = 8 + 5
7x = 13 (divide both sides by 7 to get x)
7x/7 = 13/7
x = 1.85714285714
what is x when the tangent of 25 equals x over 11?
Answer:
x = 5.12938423
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
The reduce feature on a copy machine is set
at 84%. The picture being copied is 4.5
inches wide. What will be the width of the
reduced picture?
5.35 in.
2.9 in.
3.78 in.
0.72 in.
Answer:
c) 3.78
Step-by-step explanation:
In the figure MX = NY
MX and NY are parallel.
i) Are the sides of ∠MPX equal to the sides of ∠NPY ?
ii) what is the special about the postion of P on MN
Answer:
i) yes
ii) it splits MN in half (bisector)
Step-by-step explanation:
We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).
(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).
Answer:
YesPoint of intersectionStep-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
I really need help because I’m so confused where to start and it’s due tomorrow :(
Answer:
1. 8t+4v
A.9v+7t+6
S.14v+7t
Write 4/33 as a decimal step by step please
Answer:
0.12121212121212
Answer:
0.12121212...
Step-by-step explanation:
4÷33
A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Select one:
O a. 23
O b. 34
O c. 35
O d. 40
Answer:
34343434343434343434
YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Antonio circled 72, 78, 84, and 90 on a hundreds chart. If Antonio continues his pattern, what two numbers will be next in the pattern?
Answer:
96, 102Step-by-step explanation:
We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.
It can be continued by adding 6 to the last number:
90 + 6 = 9696 + 6 = 10272,78,84,90..are in AP
a=72d=6[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]
[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]
a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter
Answer:
£17920
Step-by-step explanation:
total length of the field = 2(155+485) = 1280m
cost = 1280 * 14 = 17920
Translate to an algebraic expression.
29 more than n
can someone ans it correctly plz
Answer:
It's BGH or the 4th option
Step-by-step explanation:
This is because they aren't adjoined
f(x)=-x^2-10x
Find f(-5)
Answer:
25
Step-by-step explanation:
f(x)=-x^2-10x
Let x = -5
f(-5)=-(-5)^2-10(-5)
= -25+50
=25
The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?
The sales tax on this printer is $20.94
What is sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
Given that, the price of a printer is $349.00 having a 6% sales tax.
Sales tax = 6% of $349.00
$349.00 x 0.06 = $20.94
Hence, the sales tax on this printer is $20.94
For more references on sales tax, click;
https://brainly.com/question/29442509
#SPJ6
which expression is equivalent to 2•2 3 •8
Answer:
2^7
Step-by-step explanation:
2 * 2^3 *8
Rewriting 8
8 = 2^3
2 * 2^3 * 2^3
We know that a^b * a^c = a^(b+c)
2^1 * 2^3*2^3
2^(1+3+3)
2^7
Decide whether the represents a rational number or an irrational number. Explain how you know without simplifying.
The
represents
▼
an irrational number.
a rational number.
This is because the number
is
▼
a rational number
an irrational number
and the number
is
▼
an irrational number.
a rational number.
The of
▼
a rational number and an irrational number
two irrational numbers
two rational numbers
is
▼
an irrational number.
a rational number.
Find the Product.
1.45 X 3.8-
Answer:
the answer for this question is 5.51
Can somebody please help? I been struggling to answer this!
Answer:
the first option is the answer. I am sure of this
Answer:
the first option is the answer
Pls help me I’m not very smart
Answer:
39.90
Step-by-step explanation:
multiply 95x42, ur not smart if you think u arent.