Answers
Answer:
y = -6/5x - 2
Step-by-step explanation:
The line intercepts the y-axis 2 below 0, and down 6 for every 5 to the right on the x-axis
to get the equation of any straight line, we simply need two points off of it, let's use those points in the picture below.
[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-5)}}}\implies \cfrac{-12}{5+5}\implies \cfrac{-12}{10}\implies -\cfrac{6}{5}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-5)})\implies y-4=-\cfrac{6}{5}(x+5) \\\\\\ y-4=-\cfrac{6}{5}x-6\implies y=-\cfrac{6}{5}x-2[/tex]
Related Questions
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.
suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 4 inches. The heights of 10 randomly selected students are 66, 61, 67, 61, 75, 71, 70, 61, 61, and 74
Answers
A mean is an arithmetic average of a set of observations. The height of the 9th-grade students will be 66.7±4 inches.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given the height of the 10 selected students is {66, 61, 67, 61, 75, 71, 70, 61, 61, and 74}, also, the standard deviation of the 9th-grade students is 4 inches. Therefore, The mean height in inches of the selected students is,
Mean = (66+61+67+61+75+71+70+61+64)/10 = 66.7inches
Therefore, the height of the 9th-grade students will be 66.7±4 inches.
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can anyone help me identify the center and radius on these 3 pls , brainly
Answers
Radius = r^2 = 225 => r = 15
b)center is (0,0)
Radius r^2= 178
=> r =13.34
C) center is (0,0)
Radius is r^2 = 49 => r = 7
Hope it helps .
Answer:
Note that #1 starts at #3 and #3 on this list ends at #5 on your page.
Center, 0 | Radius, 15Center, 0 | Radius, [tex]\sqrt{178}[/tex]Center, 0 | Radius, 7Enter the number that belongs in the green box.
Answers
Answer:
The answer is x = 10.
Step-by-step explanation:
Two options:
1. Looking at the image it looks like a parallelogram. So, most side lengths are equal to each other or are the same.
2. We can use the Pythagorean Theorem to solve for x.
the diagram represents a rectangular garden of length 14 m and width 10 m
The flower bed is a triangle and the vegetable patch is a trapezium
the rest of the garden is lawn
Answers
Answer:
The area of the lawn is 68 [tex]m^2[/tex].
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
= 14 x 10
= 140 [tex]m^2[/tex]
Area of triangle = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 3 x 8
= 12 [tex]m^2[/tex]
Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h
= [tex]\frac{1}{2}[/tex](5 + 7) 10
= 60 [tex]m^2[/tex]
So that;
Area of lawn = 140 - (12 + 60)
= 140 - 72
= 68
The area of the lawn is 68 [tex]m^2[/tex].
Please help me on this question I’m very confused I will give you brainless??
Answers
To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED
Sum of Angles in a TriangleThe value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.
Data;
m<FED = (16x - 8)m<EFD = 35m<EDF = 2x + 9[tex]35+(16x-8)+(2x+9) = 180[/tex]
Reason: The sum of angles in a triangle is equal to 180 degrees.
But we would need to solve for the value of x.
[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]
Let's substitute the value of x into m<FED
[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]
The value of m<FED is equal to 120 degrees.
From the diagram given, m<CBD is complimentary with m<BED
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7. AB = AC. AMON is a ____
Justify your answer.
Answers
Answer: Cyclic quadrilateral
Step-by-step explanation:
Since angles OMB and ONC are right angles, it follows that AMO and ANO are also right angles. Thus, there is a pair of opposite angles that are supplementary, and thus AMON is a cyclic quadrilateral.
If f(x) = 3x+2, find f(f¹(14))
Answers
Answer:
f(f¹(14)) = 134
Step-by-step explanation:
Given :
f(x) = 3x + 2Find the value of f(14) :
f(14) = 3(14) + 2f(14) = 42 + 2f(14) = 44Therefore, f(f¹(14)) = f(44).
Solving :
f(44) = 3(44) + 2f(44) = 132 + 2f(f¹(14)) = 134Solve the quadratic equation by using either a numeric or a graphic approach. x squared minus 16 x minus 64 = 0 a. x = -11.1 or x = -12.4 c. x = 16.3 or x = -2.9 b. x = 19.3 or x = -3.3 d. x = 1.3 or x = -3.4
Answers
Answer:
B.
Step-by-step explanation:
[tex]x^2 - 16x - 64 = 0[/tex]
[tex](x-8)^2 = 128[/tex]
[tex]x = 8 + \sqrt{128}[/tex]
or
[tex]x=8-\sqrt{128}[/tex]
so x = 19.3
or x = 3.3
Use the drop-down menus to complete each statement about the functions f and g.
Note: Exponential functions are of the form f(x) = abx.
The function f is (linear, exponential, neither)
.
Consecutive (differences, quotients)
are (constant, nonconstant )
.
The function g is (options are same for the rest)
.
Consecutive
are
.
Answers
The function f(x) is the linear and the function g(x) is the exponential. Then the equations are f(x) = 6x and g(x) = 3(2)ˣ.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The functions f(x) and g(x).
The table is shown below.
Let the function f(x) be the linear function and the function g(x) be the exponential. Then we have
Then the function f(x) will be
f(x) = mx + c
Then we have
12 = 2m + c
6 = m + c
Then we have
m = 6 and c = 0
Then the equation will be
f(x) = 6x
Then the function g(x) will be
g(x) = abˣ
Then we have
48 = ab⁴
24 = ab³
We have
a = 3 and b = 2
Then the function g(x) will be
g(x) = 3(2)ˣ
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quadrilateral has angles that measure 90°, 46°, and 120°.
What is the measure of the fourth angle
Answers
Answer:
the measure of the fourth angle is 104 degrees
Step-by-step explanation:
Answer:
Fourth angle = 104º
Step-by-step explanation:
Angles in a quadrilateral add to 360º so:
90 + 46 + 120 + fourth angle = 360º
90 + 166 + fourth angle = 360º
256 + fourth angle = 360
fourth angle = 104º
how do I solve this?
Answers
What is the circumference of the circle? (use 3.14 for pi)
(WORTH 30 POINTS)
Answers
Answer:
119.32
Step-by-step explanation:
[tex]A = 2 * 3.14 * 19 = 119.32[/tex]
Can someone answer theese 3 questions i will give brainliest
Answers
Answer:
#3
A
#2
D
#1
B
Hope this helps
Answer:
1.) 10/16 = 5/8
2.) 14/16 = 2 7/8
3.) 6/16 = 1 3/8
Step-by-step explanation:
Just count the lines.
NEED HELP ASAP - Which
represents the inverse of the function f(x) = 4x?
h(x) = x + 4
• h(x) =x-4
h(x) = =3/4x
O h(x) = 1/4
Answers
Answer:
O h(x)=1/4
Step-by-step explanation:
Maya has savings of $40,000. She invests in a bond mutual fund that pays 5% interest each year. Ignoring compounding, what are Maya's total savings after 20 years?
Answers
Answer:50,000 x 0.04 x 20=40,000
The total saving after 20 years 50,000+40,000=90,000$
Determine the equation of the line that has an x-intercept of 6 and passes through the point (6,4)
Answers
x /6 + 2.y/3 = 1. or, x + 4y = 6. Answer.
Tom would like to stock groceries for his shop. The wholesaler where he buys his stock sells sugar in packets of 10 per carton, flour in packets of 6 per carton and rice in packets of 5 per carton. How many cartons of each item should Tom buy so that there are equal number of packets of sugar, flour and rice.
Answers
Answer: Sugar = 3 cartons, Flour = 5 cartons, Rice = 6 cartons
Step-by-step explanation:
Sugar = 10 packets/carton
Flour = 6 packets/carton
Rice = 5 packets/carton
10, 20 30... sugar
6, 12, 18, 24, 30... flour
5, 10, 15, 20, 25, 30... rice
30/10 = 3 cartons of sugar
30/6 = 5 cartons of flour
30/5 = 6 cartons of rice
For all the number of packets to be equal.
flour cartons, 5
rice cartons, 6
What is the full number (all 0's and what not) of 4.385e+30
Answers
Answer:
4 385 000 000 000 000 000 000 000 000 000.
Step-by-step explanation:
Wellllll.....e +30 means 10^30
A submarine starts 15 meters above sea level and travels 95 meters below sea level. How far did the submarine travel? *
Answers
The height attained by the submarine in the sea will be 80 meters.
What is the height?
Height is a vertical distance travelled by any object. Here the submarine is going down in the sea from 15 meters to 95 meters below the sea.
So the height attained by the submarine will be:-
H= 95-15
H= 80 meters.
Therefore the height attained by the submarine in the sea will be 80 meters.
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Which conditional probabilities are correct? check all that apply. p(d | f) = startfraction 6 over 34 endfraction p(e | d) = startfraction 7 over 25 endfraction p(d | e) = startfraction 7 over 25 endfraction p(f | e) = startfraction 8 over 18 endfraction p(e | f) = startfraction 13 over 21 endfraction
Answers
The conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
How to determine the true conditional probabilities ?The conditional probability P(A|B) is calculated using:
P(A | B) = P(A and B)/P(B)
Using the above formula and the data in the complete question (see attachment), we have the following computations:
P(D | F) = 6/34
P(E | D) = 7/25
P(D | E) = 7/18
P(F | E) = 8/18
P(E | F) = 8/34
By comparing the above computations with the options, the conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
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Answer:
A, B, D
Step-by-step explanation:
yw :)
✓ Be sure your photo is not blurry
7x-3(5x+2)-6(7+2x)
Answers
Answer:
-20x-48
Step-by-step explanation:
7x-(15x +6)-6(7+2x)
7x-(15x+6)-(42+12x)
7x-15x-6-42-12x
(7x -15x-12x)+(-6-42)
=-20x-48
Answer:
-20x - 48
Step-by-step explanation:
7x - 3(5x +2) - 6*(7 + 2x) = 7x + (-3)*5x + (-3)*2 + (-6)*7 + (-6)*2x
= 7x - 15x - 6 - 42 - 12x
= 7x - 15x - 12x - 6 -42 {Combine like terms}
= -20x - 48
The radius of the circle above is 39 mm. What is the circumference of the circle? Use 7 = 3.14.
Circumference = 2017
A. 244.92 mm
B. 9,551.88 mm
C. 122.46 mm
D. 4,775.9400000000 mm
Answers
Answer:
244.92 or A
Step-by-step explanation:
r=39, so we can then find the diameter.
39*2= 78 (the diameter)
c=(pi)(d)
c=3.14*78
c= 244.92
share the ration .....
Answers
Answer:
Tom: £166
Ben: £581
Step-by-step explanation:
In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).
£747 / 9 = £83
For Tom:
£83 * 2 = £166
For Ben:
£83 * 7 = £581
Checking our work:
Since the decimals are the same, this means the ratios are equal.
2/7 = 0.2857
166/581 = 0.2857
30 POINTS. HELP!
Which of the three types of discontinuities (removable, jump, and infinite), would be represented by a limit that can only be found by simplifying a rational expression or multiplying by a conjugate? Why?
Answers
Answer:
jump equation
bu multiplying by a conjugate
The point P = (-15/4, y) lies on the unit circle shown below. What is the value of
y in simplest form?
Answers
Considering the equation of the circle graphed on this problem, the value of y is given by:
[tex]y = -\frac{1}{4}[/tex]
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the circle is centered at the origin, with radius 1, hence the equation is given by:
[tex]x^2 + y^2 = 1[/tex]
Hence, when [tex]x = -\frac{\sqrt{15}}{4}[/tex], the values of y are given by:
[tex]y^2 = 1 - x^2[/tex]
[tex]y^2 = 1 - \frac{15}{16}[/tex]
[tex]y^2 = \frac{1}{16}[/tex]
Looking at the graph, we want the negative value of y, hence:
[tex]y = -\sqrt{\frac{1}{16}}[/tex]
[tex]y = -\frac{1}{4}[/tex]
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Answer: its positive 1/4
Step-by-step explanation: got the question right
What is the area of this rectangle?
18 m
9 m
14 sq m
16 sq m
Answers
Answer:
14
A = base × height = 2 × 7 = 14
Answer:14
Step-by-step explanation:
look at the attachment and solve
Answers
The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.
What is a perpendicular bisector?A perpendicular bisector of a line segment is a line segment that is perpendicular to and passes through the middle of the line segment (left figure). A line segment's perpendicular bisector can be drawn using a compass by drawing circles centred at and with radius and connecting their two intersections.
The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.
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The Ferris wheel at the museum park has a height requirement of 48 inches your little sister is 45 inches tall how much taller does she need to go before she can ride the Ferris wheel
Answers
Answer:
3 inches
Step-by-step explanation:
48 - 45 = 3
Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 and one-fourth hours on his project. If k represents the amount of time that it took Karissa to complete her project, which inequality can be used to represent the situation?
4 and one-fourth less-than 2 k
4 and one-fourth less-than-or-equal-to 2 k
4 and one-fourth greater-than 2 k
4 and one-fourth greater-than-or-equal-to 2 k
Answers
Answer:
4 and one-fourth less-than or equal-to 2k
Step-by-step explanation:
4 and one-fourth is no more than 2k
i.e,4 and one-fourth can be equal or less than 2k
pls mark brainliest:)