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Explanation:
Use the slope formula to find the slope of the given line through those two points (-3, 4) and (5, 1)
m = (y2-y1)/(x2-x1)
m = (1 - 4)/(5 - (-3) )
m = (1-4)/(5+3)
m = -3/8
The line shown has a slope of -3/8
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We do two things from here:
flip the fractionflip the signThat will have -3/8 turn into +8/3 or simply 8/3 which is the perpendicular slope. That's why the answer is choice A.
Multiplying the original slope -3/8 with the perpendicular slope 8/3 will lead to -1. This is true of any perpendicular pair of lines, as long as neither line is vertical.
1. Find the value of x and round to the nearest tenth
2. Find the value of y and round to the nearest tenth.
Measure of x :
[tex]\longrightarrow4 \sqrt{5} \: \: units[/tex]
Measure of y :
[tex]\longrightarrow8 \sqrt{5} \: \: units[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps }}{\orange{....}}}}}[/tex]
make q subject in formula
t=q/2 + 5
Answer:
[tex] q = 2(t - 5) [/tex]
Step-by-step explanation:
[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]
hope this helps you.
Have a nice day!
Answer:
2 ( t - 5 ) = q
Step-by-step explanation:
t = q/2 + 5subtract 5 from both side
t - 5 = q / 2 + 5 - 5t - 5 = q / 2multiply each side by 2.
2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = qThe sum of a number is
4 less then 2 times a
number is 35 what is the number?
21.5
Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inverseIn 20 words or fewer, can 8 • 7 • 6 be written as 8! . . . and why or why not?
Answer:
No, because factorials are product of all positive integers less than or equal to a given positive integer.
Anthony bought a new rectangular table for his living room the length of the table is 4 feet and the perimeter of the table is 14 feet what is the width of the table ?
A. 4 feet
B.5 feet
C. 2 feet
D.3 feet
Answer:
Option d
Step-by-step explanation:
Length = 4 ftPerimeter = 14 ftWidth = ?→ Perimeter of rectangle = 2(l + w)
→ 14 = 2(4 + w)
→ 14 ÷ 2 = 4 + w
→ 7 = 4 + w
→ 7 - 4 = w
→ 3 ft = w
Therefore, width is 3 ft. (Option D)
Find the slope of the line that passes through (10, 4) and (6, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4
Step-by-step explanation:
The given points son the line are; (10, 4), and (6, 3)
The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, the slope of the found line is given as follows;
(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)
[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]
The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4
What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63
Answer:
0.78
used a calculator
please help find x!!
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
Suppose that your statistics professor tells you that the scores on a midterm exam were approximately
normally distributed with a mean of 78 and a standard deviation of 7. The top 15% of all scores have
been designated A’s. Your score is 89. Did you earn an A? Explain.
Answer:
YesStep-by-step explanation:
z-score representing 85% is 1.04 (from table)
Let x be the score representing the lower limit of 85%.
Use the formula to find z-scores:
z = (x - μ)/σWe have:
z = 1.04, μ = 78, σ = 7Substitute the values and solve for x:
1.04 = (x - 78)/7x - 78 = 7.28x = 85.28The lower limit of the top 15% is 85.28.
Since your score is greater than 85.28 you earned an A
(04.02 MC)
4
What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)?
Answer:
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Step-by-step explanation:
The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:
[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)
Where:
[tex]m[/tex] - Slope of the original line.
[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.
If we know that [tex]m = 1[/tex], then the new slope is:
[tex]m_{\perp} = -\frac{1}{1}[/tex]
[tex]m_{\perp} = -1[/tex]
A line is defined by the following expression:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:
[tex]b = y - m\cdot x[/tex]
[tex]b = 1+4[/tex]
[tex]b = 5[/tex]
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
What are the zeros and x-intercepts of this quadratic function?
y
Select two answers: one for the zeros and one for the x-intercepts.
A. x-Intercepts: (-3,0) and (2.0)
B. X-Intercepts: (0, -3) and (0,2)
C. Zeros: -3 and 2
The answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
What are zeros & x-intercepts of quadratic function?The zero of the function is where the y-value is zero.
The x-intercept is where the graph crosses the x-axis.
Here, in graph we have,
at (-3,0) and ( 2,0) the quadratic crosses the x-axis.
And, at -3 & 2 the value of y is zero.
Hence, the answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
To learn more on zeros & x-intercepts of quadratic function click:
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Given m || n, find the value of x and y
Step-by-step explanation:
5x-6+7x+18=180
12x=180+6-18
12x=168
168÷12=14
X=14
for y
3y+11=7x+18(7×14+18)
3y+11=116
3y=116-11
3y=105
y= 35
8 less than a number x is more than 5 times that same number.
Answer:
x < -1/2
Step-by-step explanation:
x - 8 > 5x
-8 > 5x -x
-8 > 4x
Divide through by 8
-1/2 > x or x < -1/2.
That is ofcourse if I interpreted the first part correctly.
The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in
Answer:
C. 8 in
Step-by-step explanation:
(5)(6)(x)=240
solve for x
30x=240
x=240/30
x=8
what is 55 degrees in radian measure as a multiple of pi
round 0.982 to 2 decimal places
Answer:
0.98
Step-by-step explanation:
0.982,0.98()2 (round up if 5+ down 4-) 0.98
The number 0.982 rounded of to two decimal places will be 0.98.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
The digit 5 acts as a limit.
if the right-sided digit to the digit where we've to round off is < 5, we keep it the same and make all right-sided values 0, and if the right-sided digit is > 5, then we make it increase by 1, and the rest of the right-sided digits become 0. If the digit on right is 5, and after it, there are only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)
Since the given number is 0.982, and in this number the thousandth place is taken by 2, therefore, the number when rounded off will be equal to 0.98.
Hence, the number 0.982 rounded of to two decimal places will be 0.98.
Learn more about Rounding Numbers here:
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what numbers multiplied by itself equals 118?
[tex]\longrightarrow{\green{10.863}}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]10.863 \times 10.863 = 118 \\ \\⇝118.004 = 118 \\ \\ ⇝118 = 118[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
±sqrt(118) or approximately ±10.86278
Step-by-step explanation:
What number times itself is 118
We are looking for the sqrt(118) or- sqrt(118)
This is approximately ±10.86278
PLEASE HELP!!
A wooden block in the shape of a rectangular pyramid is shown below:
A shaded right rectangular pyramid is shown.
If a cross section of the block is cut in a plane parallel to the base of the pyramid, which of the following shapes describes the cross section? (5 points)
a
Triangle
b
Rectangle
c
Trapezoid
d
Hexagon
Step-by-step explanation:
A shaded right rectangular pyramid is shown. where is the shade rectangular pyramid....how do I know the answer when you did post the full
question
Which expression is equivalent to ((4^(5/4)x4^(1/4))/4^1/2)^1/2
?
^16sqrt4^5
Sqrt2^5
2
4
Answer:
2
Step-by-step explanation:
add 5/4 and 1/4 to get 6/4 or 3/2
(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4
4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2
4^1/2 is the square root of 4, which is 2
Answer:
2
Step-by-step explanation:
In first step use the product rule of exponents .
so exponents going to add up.
Then in the second step simplified exponents.
After that Its division rule of exponents. and according to division to the exponents get subtracted.
In the end he would be left with four to the power half. which means square root of 4. which is 2.
can someone help with part A please??
Answer:
Step-by-step explanation:
4 days 9 hours 40 minutes
Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot represents their reported number of hours of phone usage per week.
Answer:
where is the dot plot??
Step-by-step explanation:
Find the area of a regular Heptagon with a side length of 7?
Answer:
[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]
What is the answer for this question?
Answer:
a/e
~~~~~~~~~~
[tex]\frac{(18) ab (20)cd}{ (15) bc (24) de}[/tex]
[tex]\frac{(3) ab (4)cd}{ (3) bc (4) de}\\[/tex]
[tex]\frac{ ab cd}{ bc de}\\[/tex]
[tex]\frac{ a }{ e}\\[/tex]
Step-by-step explanation:
There are 4 000 people at a concert. 70% of these bought their tickets in advance. How many people at the concert bought tickets in advance?
As per linear equation, the number of people who bought ticket in advance is 2800.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
Given, the number of people is 4000.
70% of the people bought ticket in advance.
Therefore, the number of people who bought ticket in advance is
[tex]= \frac{4000(70)}{100}\\ = 2800[/tex]
Learn more about linear equation here: https://brainly.com/question/9403663
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A hotel room is originally priced at $159.00 per night during the week (Monday-Thursday). On weekends (Friday - Sunday), the price increases by 12%. What is the price of a hotel room on a Saturday night?
There are 1,099 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?
Answer:
1099/11=99.9
since you can't have 99 boxes, you round to 100 boxes.
you will need 100 boxes.
What is the domain of the relation
graphed below?
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
wala muna akung ma explantion hahah sore
Easy
1/6 x 1/2x 1/3
help me ( ̄▽ ̄)╭
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Explanation:
The numbers up top are 1,1,1. They multiply to 1*1*1 = 1. So that means 1 is the numerator of the answer.
The numbers down below are 6,2,3. They multiply to 6*2*3 = 36. This is in the denominator for the answer.
That means (1/6)*(1/2)*(1/3) = 1/36
The rule I used is (a/b)*(c/d) = (a*c)/(b*d)
Answer:
1/36
Step-by-step explanation:
Step 1:
1/6 · 1/2 · 1/3 Equation
Step 2:
1/6 · 1/6 Multiply
Answer:
1/36
Hope This Helps :)
A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube, Find the length of a diagonal d in a cube that has an edge of length 10 meters.
d = 17.3 m
Step-by-step explanation:
We can extend Pythagorean theorem to 3 dimensions by writing
[tex] {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} [/tex]
or
[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]
Since we are dealing with a cube of side 10 m, then
x = y = z = 10 m
so we get
[tex]d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } [/tex]
or
[tex]d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m[/tex]
This becomes
d = 17.3 m
HELP ME WITH THIS ILL MAEK U THE BRAINLIEST
Answer:
Maria answers 85% of the questions correctly
Step-by-step explanation:
Maria had a test with 20 questions
if 17 are correct,
20 questions : 100%
17 questions : ?%
she was 85% right
hope this helps :)
Answer:
E. 85%
Step-by-step explanation:
Total Answers: 17 + 3 = 20
Maria answered 17 questions correctly
(17 ÷ 20)×100 = 85%