Answer:
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
Step-by-step explanation:
Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:
[tex]y-y_{1} = m\cdot (x-x_{1})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex](x_{1}, y_{1})[/tex] - Coordinates of the given point.
If we know that [tex]m = \frac{3}{5}[/tex] and [tex](x_{1},y_{1}) = (2, -4)[/tex], then the equation of the line is:
[tex]y+4 = \frac{3}{5}\cdot (x-2)[/tex]
[tex]y + 4 = \frac{3}{5}\cdot x -\frac{6}{5}[/tex]
[tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex]
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
Which equation matches the graph shown?
[tex]we conclude that option B:[/tex]
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
[tex]Is the graphed function.[/tex]
Which equation matches the graph shown?On the graph we can see a parabola that opens downwards, so it has a negative leading coefficient.
We also can see that the vertex of the parabola is on the point (3, -5)
Then the equation of the parabola is something like:
y + 5 = a*(x - 3)^2
Where a is a negative real number.
The only option of this form is option B, so we conclude that option B:
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
Is the graphed function.
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Can someone pls help with this
here it is :)
do check properly, I have given step by step instructions:)
do give feedback on my answer, would appreciate it!
Answer:
900000
Step-by-step explanation:
[tex]30*10^{4}[/tex]
=3*10000
=30000
=30*30000
=900000
From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building
Answer:
First we find the distance between the two buildings =
Step-by-step explanation:
[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]
then the upper part of the taller building =
[tex]37.3 \times \tan(59) = 62 \: ft[/tex]
Now the total height of the taller building
[tex]80 + 62 = 142 \: ft[/tex]
Which of the points does not lie on the line y=x^2
Answer:
y does not lie on the point x^2 lie
Answer:
[tex]\large \green{ \boxed{\boxed{\begin{array}{cc} \maltese \: \bf \: (\frac{3}{2}, \frac{9}{2} ) \: dose \: not \: lie \\ \\ \bf \: on \: the \: curve \: \: \end{array}}}}[/tex]
In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°. Circle O is shown. Line segments L O , M O, and N O are radii. The length of L O is 6 centimeters. Angle M O N is 75 degrees. The measure of arc L M is 6.3 centimeters. Rounded to the nearest tenth of a centimeter, what is the length of arc LMN? 7.9 cm 10.2 cm 12.6 cm 14.2 cm
Answer:
[tex]LMN = 14.2[/tex]cm
Step-by-step explanation:
Given
[tex]r = OL = NO = MO = LO =6cm[/tex] -- radius
[tex]LM = 6.3cm[/tex] -- arc
[tex]\angle MON = 75^o[/tex]
(see attachment)
Required
The length of arc LMN
First, we calculate the length of arc MN using:
[tex]MN = \frac{\alpha}{360} * 2\pi r[/tex] --- length of arc
In this case:
[tex]\alpha = \angle MON = 75^o[/tex]
So, we have:
[tex]MN = \frac{75}{360} * 2 * 3.14* 6[/tex]
[tex]MN = \frac{75* 2 * 3.14* 6}{360}[/tex]
[tex]MN = \frac{2826}{360}[/tex]
[tex]MN = 7.85[/tex]
So, the length of arc LMN is:
[tex]LMN = LM + MN[/tex]
[tex]LMN = 6.3 + 7.85[/tex]
[tex]LMN = 14.15[/tex]
Answer:
D
Step-by-step explanation:
14.2
The average number of shirts that a shop sold each month is given in the graph. In the graph, 1 represents January, 2 represents February, and so on. Based on the graph, how many shirts can the shop expect to sell in June of that year? A. 60 shirts B. 160 shirts C. 220 shirts D. 320 shirts
Answer:
320 shirts
Step-by-step explanation:
Answer:
320 shirts
Step-by-step explanation:
If the shirts were around 400 in January, then you would assume that near June, the number of shirts sold would be 320 shirts.
(-2 1/2) to the second power
Answer:
6.25
Step-by-step explanation:
[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]
Hope this helps.
If g(x) = 2(x − 4), find the value of x if g(x) = 20
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
The question isn't well formatted ; however, from what can be deduced from the question posted :
Answer:
- 10.071
Step-by-step explanation:
Given the expression :
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
Expressing Mathematically :
h - (- 2.22) = - 7.851
Opening the bracket :
h + 2.22 = - 7.851
Subtract 2.22 from both sides :
h + 2.22 - 2.22 = - 7.851 - 2.22
h = - 10.071
Find the value of x
2x degrees and 3x degrees ..
they are supplements angles
Answer:
2x+3x=180°
that is 5x=180°meaning x=32°
Find the volume of this sphere please help
Answer:
Volume = 108 ft³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
From the picture attached,
Radius of the sphere = 3 ft
By substituting the value of r in the expression,
Volume = [tex]\frac{4}{3}\pi (3)^{3}[/tex]
= 36π
= 36×3
= 108 ft³
find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)
Answer:
-14
Step-by-step explanation:
12mn-8mt+9t²-6mt
12mn+9t²-14mt
the coefficient of mt is -14
The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m) will be -14.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given that
⇒ 4m(3n-2t)+3t(3t-2m)
⇒ 12mn -8mt + 9t² - 6mt
⇒ 12mn + 9t² + 14 mt
Hence it's clear that the coefficient of mt will be -14.
For more information about the expansion
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Identify the volume and surface area of the hemisphere in terms of pie.
Answer:
it's off topic but which grade are you in
Martha and Dave have 99$. Martha has 3 more than seven times as much money as Dave. How much does each person have?
Answer:
x = 12 m = 87
Step-by-step explanation:
x = Dave
(7x + 3) + x = 99
8x + 3 = 99
-3 -3
8x = 96
---- ----
8 8
x = 12
7(12) + 3
84 + 3
87
Dave has 12 dollars, Martha has 87.
Plz help similarity theorems
Answer:
b is the answer bro and try first then ask questions
Help with Pythagorean theorem
Answer:
45
Step-by-step explanation:
(27*27)+(36*36) = 2025
square root 2025 and you get 45
to check 45*45=2025
mountains poem in nepali for class 7
Step-by-step explanation:
म नजन्मिदै विधवा भएकी हिमाल
खै! किन हो मेरा यी हेर्ने नयनले उनलाइ
अझै पनि दिन र रातमा
सेतै लुगा पहिरिएकी देख्छ
अचम्म लाग्छ मलाइ पहिरिएकी सेतो लुगा माथि
मुनालले पाइला टेके पनि विष्ठा गरे पनि कहिल्यै
मैलो हुदैन सेतो लुगाको वास्तविक रङ
उत्तिकै सेतो देख्छु म
निर्जीव वस्तु भएनी हिमाललाइ
सजीव मनुस्यको जस्तै चोटको कल्पना गरेको छु मैले
किनकी चोटै चोटले ग्रसित भएकी उनी आजभोली
अपाङ्गको सिकार बनिसकेकी छिन
उनलाइ अन्धो भन्छु म किनकी उनी आँखा देख्दैनन
आँखा नदेखे पनि अरु कसैलाइ सुम्सुम्याउन समेत सक्दैनन
तर पनि कस्तुरी, डाफे,मुनाल,घोरल,चितुवा आदि जनावरहरुको
सहारा दिने आश्रय स्थल भएर उभिएकी छिन, के कम छिन र?
जमिन भित्र उनको खुट्टा गाडिएर होला
खुट्टाको दृश्य मैले अझै पनि देख्न पाएको छैन
कस्तो होला है! हिमालको खुट्टा ? सोचिरहन्छु म
सायद खुट्टा नै छैन र पो कहिल्यै पनि हिड्डुल गर्न सक्दैनन कि?
जब कुनै समयमा चुचुरोमा हावा बहन थाल्यो
एकदिन सेतो कपाल धरतीमा हाम फालेर
नदिहरु बढ्न थाले तर उहीँ बहेको हावाले
हिमालको श्रवण गर्ने कानको जाली
नै फुटाइदिएछ त्यही भएर म भन्छु
हिमाललाइ बहिरो पनि हुनुहुन्छ तपाईं
सधै टोलाएर बसेकी देख्छु म
रोजगारी भन्ने कुरा त उहीँ हो हिमाललाइ
बिहानीपख देखि सन्ध्या काल सम्म
प्रकृतिले बसिबसी ऐना टल्काउने
पदभार ग्रहण गराइदिएको छ जब घाम
झुल्किन्छ उनी अस्ताउन्जेल सम्म ऐना टल्काइरहन्छिन्
त्यसैले म भन्छु हिमाललाइ बिधवा भएर के भो त
खान लाउनको लागि रोजगारी मिलेकै छ क्यारे !
Select the correct answer from each drop-down menu.
Write the functions represented by the graphs.
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Answer:
CORRECT
Step-by-step explanation:
Hello :) how to do this?
Answer:
Please see the attached pictures for the full solution.
[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]
Which expression is equivalent to (3a)–2?
Answer:
[tex] \frac{1}{9a { }^{2} } [/tex]
Step-by-step explanation:
I hope this help if it doesn't I'm sorry
Para un proyecto de arte, omar debio trasladar en la cuadricula la figura de colocar segun estas indicaciones 6 cuadraditos hacia la izquierda y 5 cuadraditos hacia la derecha dibula en la cuadricula la figura en su nueva ubicacion
Answer:
Después de una búsqueda online, encontre la pregunta completa, la cual puede verse abajo.
Lo que queremos hacer es mover la figura 6 unidades a la izquierda, y 5 unidades hacia abajo.
Para hacer esto, simplemente podemos tomar cada vértice de la figura y moverlo 5 unidades hacia abajo, y luego 6 unidades a la izquierda.
Una vez hemos movido los 4 vértices, podemos conectarlos con segmentos, y de esta forma tendremos la figura trasladada.
En la segunda imagen se puede ver como este proceso se hace para el vértice derecho de la base. En el mismo gráfico se movieron los otros 3 vértices y se conectaron, para así obtener la figura trasladada.
I just need to find that last box guys please help me solve this
Answer:
Step-by-step explanation:
y = 600 * (1.04)¹⁵
= 600 * 1.80094351
= $ 1080.57
Must show work! PLEASE DO THIS ASAP!
No links
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
Find the measure of <3. 90 50 40 130
=============================================================
Explanation:
This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.
One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.
The measure of ∠3 is 90°
Because in a kite the diagonals bisects at 90°
Therefore ∠3 is 90°
Answered by Gauthmath must click thanks and mark brainliest
A box of crayons has one each of red, orange, yellow, green, blue, purple, black, and brown. What is the probability of randomly selecting the black crayon and then randomly selecting the purple crayon if you do replace the first crayon before selecting the second crayon?
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!
THANKS IF YOU DID!!
Answer:
A = 5.6 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 h( b1+b2) where h is the height and b1 and b2 are the lengths of the bases
A = 1/2 (2) (4+1.6)
A = 1(5.6)
A =5.6 m^2
Answer:
Step-by-step explanation:
b1 = 4 m ; b2= 1.6m ; h = 2m
[tex]A =\frac{1}{2}h(b_{1}+b_{2})\\\\=\frac{1}{2}*2(4+1.6)\\\\=\frac{1}{2}*2*5.6\\\\=5.6 m^{2}[/tex]
19. Charlotte has a success rate of about 20%
for making baskets in attempts during
basketball games. She wants to determine
the probability that she will have to make at
least 5 attempts during a game in order to
make a basket. She designed a simulation
where she spun a spinner that was divided
into 5 equal sections, one of which was
colored red. She counted how many times
she had to spin the spinner in each trial
before it landed on red. The results of her
20 trials are shown below.
5, 2, 7, 2, 3, 4, 10, 6,4,6,
3, 6, 6, 4, 8,5,7,7,1,5
According to this simulation, what is the
probability that Charlotte will have to
make at least 5 attempts in order to make
a basket?
Answer:
[tex]P(x \ge 5) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]S = \{5, 2, 7, 2, 3, 4, 10, 6,4,6,3, 6, 6, 4, 8,5,7,7,1,5\}[/tex]
[tex]n(S) = 20[/tex]
Required
[tex]P(x \ge 5)[/tex]
First, we count the number of trials that are at least 5
[tex]x = \{5, 7, 10, 6,6, 6, 6, 8,5,7,7,5\}[/tex]
So, we have:
[tex]n(x \ge 5) = 12[/tex]
So, we have:
[tex]P(x \ge 5) = \frac{n(x \ge 5)}{n(S)}[/tex]
This gives
[tex]P(x \ge 5) = \frac{12}{20}[/tex]
[tex]P(x \ge 5) = 0.60[/tex]
y= -(x+3)^2 -5
What is the leading coefficient?
How do you find the vertex?
Answer:
To find the leading coefficient, first expand the function:
[tex]y= -(x+3)^{2} -5\\\\y=-(x^{2} +6x+9)-5\\\\y=-x^{2} -6x-9-5\\\\y=-x^{2} -6x-14[/tex]
The leading coefficient is the coefficient of the highest-order term, which, in this case, would be the -1 from -x².
To find the vertex: see image below
Vertex = (-3, -5)
Help please! Need this answered quick!
Answer:
3.6
Step-by-step explanation:
the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6
If the mean of a normal distribution is 210, what is the median of the
distribution?
210
B. 315
C. 105
D. 420
Answer:
210
Step-by-step explanation:
In a normal distribtuion mean=mode=median
so 210=median