The equation of the line with Slope = −7 and passing through (7,−54) is y = -7x - 5
Equation of a lineThe equation of a line in pint slope form is expressed as:
y - y1 = m(x-x1)
where
m is the slope = -7
(x1, y1) = (7, -54 ) is the point on the line
Substitute
y + 54 = -7(x -7)
Write in slope intercept form
y + 54 = -7(x -7)
y + 54 = -7x + 49
y = -7x - 5
Hence the equation of the line with Slope = −7 and passing through (7,−54) is y = -7x - 5
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2.) x/2 = 1 Solving equations.
Answer: x=2
Step-by-step explanation:
To find the value of x, we have [tex]\frac{x}{2} =1[/tex]. To isolate x, we want to multiply both sides by 2 to get x alone.
x=2
Answer:
2
Step-by-step explanation:
[tex] \frac{x}{2} = 1 \\ cross \: multiplying \\ x = 2 \times 1 = 2 \\ x = 2[/tex]
Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?
A. y= -3/4x-5
B. y= 3/4x+1
C. y=4/3x-8
D. y= 11/4x+3
Answer:
B
Step-by-step explanation:
The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.
Since parallel lines have equivalent slopes, the answer is B.
What is the length of segment BC?
Answer:
is there any other info?
What is the length of AC in the given triangle?
Answer: the answer is 126.6
Step-by-step explanation:
Answer:
AC ≈ 126.6
Step-by-step explanation:
The law of sines can be used to find the side length of interest in this triangle. It tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
__
missing angleIn order to use the law of sines, we must have a side length and its opposite angle. Here, the angle opposite the given side is unmarked, so we need to compute it using the angle sum theorem.
A +B +C = 180°
A +85° +53° = 180°
A = 42° . . . . . . . . . . . . . subtract (85°+53°)
unknown sideThen side AC can be found from ...
AC/sin(B) = BC/sin(A)
AC = BC·sin(B)/sin(A) = 85·sin(85°)/sin(42°)
AC ≈ 126.547
The closest answer choice is 126.6.
Solve the quadratic equation 5x^2+x+1=0
Answer:
No Solution
Step-by-step explanation:
Answer:
[tex]x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]
Step-by-step explanation:
[tex]~~~~~~5x^2 +x +1 = 0\\\\\implies x = \dfrac{-1\pm\sqrt{1^2 -4 (5)(1)}}{2(5)}\\\\\implies x = \dfrac{-1 \pm \sqrt{-19}}{10}\\\\\implies x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]
fractions and decimals
(just the simplest fractions, but if i did anything wrong on the greatest common factor, correct that please & thank you)
Answer:
All the GCFs look good! Here's the simplified fractions:
Step-by-step explanation:
1. 2/3
2. 3/4
3. 3/7
4. 3/16
5. 27/29
6. 4/11
7. 2/11
Simply divide the numerator by the GCF to find the simplified numerator, and the denominator by that same GCF to find the simplified denominator!
lolllll helppppp it’s probably simple buttttt
What is the value of d in the equation?
1 and three-fourths d = 14
Answer:
hope you can understand
Use the law of cosines to solve for the measure of the largest angle in triangle abc.
The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees
Law of cosinesThe law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:
c² = a² + b² - 2abcosC
Given the following
c = 16
a = 12
b = 9
Substitute
16² = 12² + 9² - 2(9)(12)cosC
256 = 144 + 81 - 216cosC
31 = -216cosC
cosC = -31/216
C = 98.25 degrees
Hence the measure of the largest angle in triangle abc is 98.25 degrees
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Find the missing base of the triangle when the area is 94.5cm2
Answer:
this is your answer
hope it will help you
geometry please help me !
Answer:
64
Step-by-step explanation:
This is a kite. Kite's diagonals are perpendicular. Since they are perpendicular, they form a 90° at where the two diagonals intersect.
The sum of all degrees for a triangle is 180. 180 - 90 - 26 = 64
(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
x y
4 3
6 4
8 9
11 12
13 17
A: y = 1.560x - 4.105
B: y = -4.105x + 1.560
C: y = 4.105x - 1.560
D: y = -1.560x + 4.105
please hurry
Answer:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptTo determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.
(If the y-values decrease as the x-values increase, then the slope would be negative).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for the proportionality constant.) When an advertising campaign for a new product is introduced into a city of fixed population N, the rate of change of the number y of individuals who have heard about the product at time t is proportional to the number of individuals in the population who have not yet heard about the product.
The differential equation that models the given situation will be dy/dt = K(N - y).
How to compute the equation?Let y = number of individuals who have heard about the product.
Let N - y = this who haven't heard about the product.
From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).
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Solve 5ax + 6 ax = 7ax+ 8 for x. Assume a # 0. O A. x = = B. x = 2a ( C. 2 = D. x = a n
5ax+6ax=7ax+8
5ax+6ax-7ax=8
4ax=8
x= 8/4a
x=2a
73 in = 0ft 0qt
ixl question help please
Answer:
6 ft 1 in
Step-by-step explanation:
if you divide 73in by 12 you get 6ft 1in
Which statement is true about the net and the solid it can form?
The length of side a will be 5 m.
The length of side b will be 2 m.
The length of side c will be 7 m.
The length of side c will be 2 m.
A recent survey of people who eat salad suggest that 78% like tomatoes on their salad, 49% like cheese on their salad, and 36% like both tomatoes and cheese on their salad. suppose a person who eats salad is selected at random, and find they like cheese on their salad. what is the probability that the person also likes tomatoes on their salad? 0.29 0.46 0.49 0.73
By definition of conditional probability, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).
Definition of probabilityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Definition of conditional probabilityThe conditional probability P(A|B) is the probability that an event A occurs, knowing that another event B also occurs. That is, it is the probability that event A occurs if event B has occurred. Is defined as:
P(A|B) = P(A∩B)÷ P(B)
Probability that the person also likes tomatoes on their saladIn this case, you know:
Event A: Person likes tomatoes on their salad.Event B: Person likes cheese on their salad.Being the event A∩B (A intersection B) when A and B occur simultaneously, then:
P(A)= 78%=0.78P(B)= 49%= 0.49P(A∩B)= 36%=0.36Suppose a person who eats salad is randomly selected and likes cheese on his salad, the probability that the person also likes tomatoes on their salad is:
P(B|A) = P(A∩B)÷ P(B)
Then:
P(A|B) = 0.36÷0.49
P(B|A) = 0.73= 73%
Finally, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).
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Find the median and mean of the data set below:
11,48,6,25,31
Answer:
mean 24.2
median 25
Step-by-step explanation:
6 11 25 31 48
Which graph represents the inequality y − 2x ≤ 1?
graph A
graph B
graph C
graph D
four graphs related to the answer options
The graph (A) in the picture represents the solution to the inequality, option (A) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The options are missing.
The graph is in the picture, please refer to the picture.
We have an inequality:
y − 2x ≤ 1
The above inequality represents a straight line with a positive slope.
The right side region of the line is representing the solution to the inequality.
Graph (A) represents the inequality.
Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.
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Match each function formula with the corresponding transformation of the parent function Y equals( X -1)^2
Step-by-step explanation:
1. translated down by 3 units.
2. reflected over the x-axis
3. translated left by 4 units : (x-1 + 4)
4. translated right by one unit : (x-1 - 1)
5. reflected over the y-axis (but it is really a translation to the left by 2 units : x-1 + 2).
6. translated up by 1 unit
which type of statement has the form' "if A, then B"
Answer:
list statements please or I cannot help you.
Step-by-step explanation:
or do you want me to make a statement?
Answer: Conditional Statement
A conditional is of the form "if, then" which is often found in math classes and formal logic classes as well.
x/4+3y/5=1 into gradient interception form
Answer:
Write in slope-intercept form,
y
=
m
x
+
b
.
y
=
5
3
x
−
20
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=-5/12x+5/3
A cyclist cycles a distance of 36 miles in a time of 3 hours.
What is her average speed?
Answer:
12mph
Explanation:
Reflect the shape A in the line y
=
y
(-5, 6)
(4,3)
(-3, 1)
-8-7 -6 -5 -4 -3 -2 -1
4 5 6 7 8
-1
-2
-3
-4
-5
-6
-7
-8
What are the coordinates of the vertices
of the image?
A
00
8
7
6
LO
5
4
3
2
-
1
Đ
1
-2
3
-X.
2
(-5,6)
Step-by-step explanation:
Anybody!!!!!! Select all that equals to 6(4)(6(-5))
Answer:
[tex]\frac{1}{6}[/tex]
[tex]6^{-1}[/tex]
[tex]\frac{1}{6^{1} }[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{6}[/tex] and [tex]6^{-1}[/tex] also [tex]}{\frac{1}{6^{1} } }[/tex] which is the same as [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
According to exponent rules
[tex]a^{n} *a^{m} =a^{n+m}[/tex]
[tex]a^{-x}= \frac{1}{a^{x} }[/tex]
Which situation can be represented by the expression -2-5−2−5minus, 2, minus, 5?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The temperature was 222 ^\text{o}\text{C}
o
Cstart superscript, start text, o, end text, end superscript, start text, C, end text and has decreased by 555 ^o\text{C}
o
Cstart superscript, o, end superscript, start text, C, end text.
(Choice B)
B
The temperature was -2−2minus, 2 ^\text{o}\text{C}
o
Cstart superscript, start text, o, end text, end superscript, start text, C, end text and has increased by 555 ^o\text{C}
o
Cstart superscript, o, end superscript, start text, C, end text.
(Choice C)
C
The temperature was -2−2minus, 2 ^\text{o}\text{C}
o
Cstart superscript, start text, o, end text, end superscript, start text, C, end text and has decreased by 555 ^o\text{C}
o
Cstart superscript, o, end superscript, start text, C, end text.
The situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C
How to determine the situation?The expression is given as:
2 - 5
When the expression illustrates change in temperature, the interpretation can be:
An initial temperature of 2°C decreases by 5°C
Hence, the situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C
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The volume of this cone is 3,183.96 cubic meters. What is the height of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
height = 18m
Step-by-step explanation:
cone volume = 3183.96 m³
1/3 πr²h = 3183.96
1/3×3.14×13×13×h = 3183.96
h = 3183.96×3/13×13×3.14
h = 9551.88/530.66
h = 18
NEED HELP ASAP!!!!
A flavored drink is made using a mixture of a powder drink mix and water, with ratio of powder to water that is 3:2 based on weight. If 20 g of the powdered mix is needed for a certain amount of the flavored drink, how much water will be needed?
Answer:
[tex]13.\overline 3[/tex]
Step-by-step explanation:
We can use proportions to find the amount of water needed
Let [tex]x[/tex] be the amount of water needed
[tex]\frac{3}{2} = \frac{20}{x}[/tex] (with the ratio being 3 powder to 2 water)
Now we can cross multiply and solve for [tex]x[/tex]
[tex]3(x) = 20(2)\\3x = 40\\x = \frac{40}{3}\\ x = \boxed{13.\overline3}[/tex]
You will need [tex]13.\overline3[/tex] grams of water to make the flavored drink.
Can someone help me answer these
Answer:
1. 05+02=07
07+03=10
2. 05+04=09
09+01=10
3. 05+01=06
06+04=10
4. 05+03=08
08+02=10
5. 17+03=20
6. 19+01=20
Step-by-step explanation:
(Answers are in bold)
Please answer quickly!!
Answer:
B is true
C is false
D is false
Step-by-step explanation:
- B is true because two negative numbers are added together, the outcome is negative hence always less than 0
- C is false due to needing a negative number add to -1.5 to be less, a positive only makes the number greater
- D is false since you are adding 0.9 (9/10), anything less than this will m ake the sum be greater than 0
example: - 0.5 + 0.9 = 0.4 or - 0.8 + 0.9 = 0.1