Answer:
the answer is (-3, 1)
luiweytie74gtewkgfrewiurhge
Step-by-step explanation:
word word word word
Write the following in point-slope form using the given information: Slope: 2 points
1/15; Point: (3,-5)
Answer:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Step-by-step explanation:
Given
[tex]m = \frac{1}{15}[/tex] -- Slope
[tex](x_1,y_1) = (3,-5)[/tex] --- Point
Required
Write an equation in point slope form
The point slope form of an equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for y1, x1 and m
[tex]y-(-5) = \frac{1}{15}(x - 3)}[/tex]
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Hence, the equation in point slope form is:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
Solving further to represent the equation in slope-intercept form, we have:
[tex]y+5 = \frac{1}{15}(x - 3)}[/tex]
[tex]y+5 = \frac{1}{15}x - \frac{1}{15}*3[/tex]
[tex]y+5 = \frac{1}{15}x - \frac{1}{5}[/tex]
Make y the subject
[tex]y= \frac{1}{15}x - \frac{1}{5}-5[/tex]
[tex]y= \frac{1}{15}x - (\frac{1}{5}+5)[/tex]
[tex]y= \frac{1}{15}x - (\frac{1+25}{5})[/tex]
[tex]y= \frac{1}{15}x - (\frac{26}{5})[/tex]
[tex]y= \frac{1}{15}x - \frac{26}{5}[/tex]
Rank in Oder 4/9,2/3,7/12,5/6
Answer:
The sorted inputs in order from least to greatest is:
4/9 < 7/12 < 2/3 < 5/6
Step-by-step explanation:
Using the given inputs:
4/9,2/3,7/12,5/6
The least common denominator (LCD) is: 36
Rewriting as equivalent fractions with the LCD:
4/9, 2/3, 7/12, 5/6
16/36, 24/36, 21/36, 30/36
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
4/9 7/12 2/3 5/6
16/36 < 21/36 < 24/36 < 30/36
Therefore, the sorted inputs in order from least to greatest is:
4/9 < 7/12 < 2/3 < 5/6
I dont understand this problem
Answer:
64 ; 8
Step-by-step explanation:
a² ± 2ab + b² = (a ± b)²
x² + 2(8)(x) + 8² =
x² + 16x + 64 =
(x + 8)²
A rational Function is a function whose equation contains a rational expression.
True or false?
Answer:
True is correct
Step-by-step explanation:
An athlete's target heart rate, in beats per minute, is $80\%$ of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the athlete's age, in years, from 220. To the nearest whole number, what is the target heart rate of an athlete who is 26 years old
Answer:
155
Step-by-step explanation:
Since the question states that;
Maximum heart rate= 220 - athletes age
If athletes age = 26 years
Maximum heart rate= 220 - 26 = 194
Again;
athlete's target heart rate= 80% × Maximum heart rate
Athlete's target heart rate= 0.8 × 194= 155
What's this? I don't know
Answer:
it's a quadratic formula
Step-by-step explanation:
in the formula, substitute the value of a as 1, b as 2 and c as -8
then, you will get ur answer
I NEED HELP ASAP
Which equation represents the situation below?
Bry's account was overdrawn by $11.85, so he deposited $11.85 into his account.
A.
(-11.85) + (-11.85) = 0
B.
(-11.85) – 11.85 = 0
C.
11.85 – (-11.85) = 0
D.
(-11.85) + 11.85 = 0
Answer:
D
Step-by-step explanation:
overdrawn = =negative so -11.85+11.85 or option D
Hope this helps plz hit the crown ;D
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation: (-3,-2) y=x+2
Given :
A point ( -3 , -2 ).
An equation of a line, y = x + 2.
To Find :
An equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Solution :
Let, equation of new line is :
y = mx + c ....1)
Here, m and c are slope and intercept respectively.
We know, product of slope of two line is -1 :
m( 1 ) = -1
m = -1
It is also given that point ( -3,-2 ) passes through this point.
Putting value of this point and slope in equation 1), we get :
[tex]-2 = (-1)\times ( -3 ) + c\\\\c = -2 -3\\\\c = -5[/tex]
Therefore, the equation of line is : y = -x -5 .
2. Sandra has earned 284 out of 300 points in Math class. What grade did Sandra
make in her math class? (Round your answer to the nearest whole percent)
Answer:
95%
Step-by-step explanation:
300/284 = 0.946666... rounded the the whole percent is 95%
300 * 95% = 285
Sales of video games and consoles fell from $1.15million to $1.03 million in 1 year. Find the percent decrease. Round the answer to the nearest tenth of a percent.
Answer:
Percent decrease = 10.43% (Approx)
Step-by-step explanation:
Given:
Old price = $1.15 million
New price = $1.03 million
Find:
Percent decrease
Computation:
Percent decrease = [(Old price - new price)/Old price]100
Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100
Percent decrease = [($0.12 million)/$1.15 million]100
Percent decrease = 10.43% (Approx)
Select the statement that indicates that the triangles in each pair are congruent. 50 points
Answer:
C) ΔEFG ≅ΔLMN
Step-by-step explanation:
C) ΔEFG ≅ΔLMN
The point (5,0) is a solution of 3 x - y > 4.
true or false ?
Answer:
false
Step-by-step explanation:
its not correct
an open top box with a square base and a volume of 4m^3 is to be constructed what should the dimensions of the box be to minimize the surface area of the box?
Answer:
Dimensions of the box:
x = 1,26 ( the side of the square base )
h = 2,52 the heigh of the cube
Step-by-step explanation:
V(b) = x² *h x is the side of the square base, and h the heigh of the cube
The surface area of such cube is:
Area of the base A(b) = x²
Lateral area is 4*x*h
A(c) = x² + 4*x*h
Now x² * h = v = 4 m³ ⇒ h = 4/x² and
A(x) = x² + 4/x
Tacking derivatives on both side of the equation:
A´(x) = 2*x - 4/x²
A´(x) = 0 2*x - 4/x² = 0 ⇒ 2*x³ - 4 = 0
x³ = 2
x = 1,26 m
And h = 4/(1,26)² ⇒ h = 2,52 m
How do we know the value of x = 1,26 is for a minimum value of A(x)
We find the second derivative of A(x)
A´´(x) = 2 - (-4*2*x/x⁴)
A´´(x) = 2 + 8/x³ is positive A´´(x) > 0
Then function A(x) has a minimum value at x = 1,26
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -2.674°C.
P ( Z > −2.674) = ???
Answer:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
Step-by-step explanation:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
RIGHT TRIANGLES & TRIGONOMETRY MATH
TOMMOROW DUE PLZZZ
Answer:
sin d= 20/29
cos d= 21/29
tan d= 20/21
sin e= 21/29
cos e= 20/29
tan e= 21/20
7) x=47 (25tan(62))
8) x=25.1 (11/sin(26))
9) x=23.8 (32sin(48))
10) x=29.6 (29/cos(12))
11) x=21 degrees (invcos(14/15))
12) x=39.6 degrees (invtan(19/23))
13) x=58 degrees (invcos(9/17))
14) x=72.9 degrees (invsin43/45))
Step-by-step explanation:
good luck m8 it gets harder trust me
also srry if something is wrong im so exhausted thxbye
A class has average height of 68 inches and a standard division of 2 inches what height do you need to be taller than 90% of the class please round your answer to the nearest thousandth.
Answer:
65.426
Step-by-step explanation:
Given that:
Mean height (m) = 68 inches
Standard deviation (s) = 2 inches
Height required to be taller than 90% of the class :
P(Z > x) = 0.9
The corresponding Zscore is - 1.282 (Z probability calculator)
Using the Zscore relation :
Zscore = (x - m) / s
-1.282 = (x - 68) / 2
-1.282 * 2 = x - 68
-2.564 = x - 68
-2.564 + 68 = x
x = 65.436
A student survey asked: "How tall are you (in inches)?" Here's the data:
67, 72, 73, 60, 65, 86, 72, 69, 74
Give the five-number summary.
A. 60, 67, 72, 73, 74
B.0, 60, 70. 89. 74, 100
C. Median 73 mean: 70.89, interquartile range (IQR): 5, min: 60, max: 74
D. 60, 66, 72. 73.5. 86
Answer:
a
Step-by-step explanation:
I need help bad I will mark you as king or what every pkz get it right I can’t get it right plz help
Answer:
d=6c it looks like. good luck
The solution of 4(x + 1) = 4(2 – x)
4x+4=8-4x
4x+4x=8-4
8x=4
x=4/8
x=1/2
Step-by-step explanation:
4x+4=8-4x
4x+4+(4x)=8-4x+(4x)
8x+4-(4)=8-(4)
8x÷(8)=4÷(8)
x=0.5 or 1/2
Seven pounds of grapes cost $10.43. How much would 4 pounds cost?
Answer:
5.96
Step-by-step explanation:
At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. How much would the sales tax be on a $88 meal?
0.2 <_____< 5/8
Which two numbers would correctly fill in the blank??
A. 1/3
B. 7/9
C. /2
D. 2/7
Answer:
Letters A. and D. would fill in the blank correctly.
The following shape is a rhombus. Find the measure of each unknown angle:
90
52
38
46
72
Answer:
63 42
53
53
52
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Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.
By using property - 1,
m∠APD = m∠DPC = m∠BPC = m∠APB = 90°
Apply triangle sum theorem in ΔAPD,
m∠DAP + m∠APD + m∠DPA = 180°
52° + 90°+ m∠DPA = 180°
m∠DPA = 38°
By using property - 3,
m∠PDC = m∠DPA = 38°
m∠PAB = 52°
By using property - 2,
m∠ADC + m∠DCB = 180°
2(38°) + m∠DCB = 180°
m∠DCB = 104°
Therefore, m∠PCD = m∠PCB = [tex]\frac{104}{2}[/tex] = 52°
m∠DAP = m∠BAP = 52°
Since, m∠ADC = m∠ABC = 76°
Therefore, mABP = m∠CBP = [tex]\frac{76}{2}=38^\circ[/tex]
Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.
Learn more about rhombus here,
https://brainly.com/question/11812488?referrer=searchResults
Please help. First correct answer I’ll mark as brainliest
Answer:
AA similarity, triangle CBA is congruent to triangle CST
Step-by-step explanation:
angle ACB and angle TCS are congruent by the vertical angles theorem
The picture marks that angle B and angle S is congruent
since 2 angles are congruent, the triangles are similar by the AA similarity
Please help me I don’t understand.
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tiles has a length 1/2 inch and width 1/6 inch. The actual tiles have a length 1/3 ft and width 1/9 ft. What is the area of a tile in the model to the area of the actual tile?
Answer:
1 : 64
Step-by-step explanation:
Model:
1/2 in * 1/6 in = 1/12 in^2
Real:
1/3 ft * 1/9 ft = 1/3 * 12 in * 1/9 * 12 in = 16/3 in^2
model : real
1/12 / 16/3 = 1/12 * 3/16 = 3/192 = 1/64
model : real = 1 : 64
Given a point A(-3,-14, it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?
The question was rewritten because it has an obvious mistype.
Answer:
The coordinates of B' are (-3,-15)
Step-by-step explanation:
We are given the point A(-3,-1) and we know it was dilated to the point A'(-9,-3) by some scale factor.
The scale factor can be found by dividing each coordinate of A' by the same coordinate of A. Let's call the factor as k:
k = -9/(-3) = 3
k = -3/(-1) = 3
Thus the scale factor is 3.
If we apply the same factor to B(-1,-5), we get the coordinates of B' as:
B'( 3*(-1) , 3*(-5) ) = B'(-3,-15)
The coordinates of B' are (-3,-15)
A bag contains 100 marbles. Some are blue, and the rest are white. There are 24 blue
marbles for every 1 white marble. How many blue marbles are in the bag?
Explain your reasoning.
Answer:
there would be 96 blue marbles and 4 white ones
Step-by-step explanation:
theres 100 marbles. every 24 marbles is 1 white marble. 24+1=25 25×4=100 24×4=96 1×4=4
Answer:
96 blue
Step-by-step explanation:
There are 24 blue for every 1 white so
24+1 = 25 blue marbles
25x4 = 100 or the total amount
100(total)-4 (white)
= 96 blue marbles
25 35 47
17 5 61
11 72 ??
Answer:
There is no pattern to it.
Step-by-step explanation:
The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe.
Answer:
Giraffe = 10
Guinea Pig = 4
Tiger = 16
Step-by-step explanation:
G GP T = 30
----------------------------------------------------------
X X-6 (X-6)*4
-----------------------------------------------------------
9 3 12 = 24
----------------------------------------------------------
10 4 16 = 30 ✅
----------------------------------------------------------
Can some one help me plz
Answer:
1b
1
Step-by-step explanation: