Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
Answer:
y +4 = -7/8(x -7)y = -7/8x +17/8Step-by-step explanation:
Given two points, the equation for the line can be found by starting with determining the slope. Then the point-slope form can be used to find the equation. That form can be rearranged to give the slope-intercept form (or any other form you may desire.)
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (3 -(-4))/(-1 -7) = 7/-8 = -7/8
Then the point-slope form using the first point is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y +4 = -7/8(x -7) . . . . . line with slope -7/8 through (7, -4)
__
Eliminating parentheses, and subtracting 4 gives the slope-intercept equation:
y +4 = -7/8x +49/8 . . . eliminate parentheses
y = -7/8x +17/8 . . . . . subtract 4; slope-intercept equation
_____
The attached graph shows both forms of the equation draw the same line.
Evaluate the expression 4 exponent 3 + 96 divided by 8 times 5 - 42
Answer: 61
Step-by-step explanation: 1+12*5
Simplify the sum 43+(96/8)*5-42
1
Add 43 and -42
12*5
Reduce 96/8 by factoring out and cancelling common factors
8*12/8.1
Factor out 8 from the top and bottom of the fraction
8*12=96
8*1=8
96/8=12
multiply 12 and 5. 12*5= 60
add 60 and 1
so the answer is 61
The points (-1, -8) and (r, 4) lie on a line with slope 3. Find the missing coordinate
Answer:
r = 3
Step-by-step explanation:
Whats the pattern for this numbers 5, 3, 9, 2, 13
Step-by-step explanation:
Go and learn numbers , it will be 1 2 3 4 5
Helpppp plaseeeee hurryyyyy Vocabulary I need the definition of these
Inverso Aditivo
Inverso Multiplicativo
Números Opuestos
Números Recíprocos
Valor Absoluto
Answer:
Inverse Additive
Inverse multiplicative
Opposite Numbers
Reciprocal Numbers
Absolute value
Step-by-step explanation:
Inverse Additive is the number that is added to a given number to make the sum zero. For example, the additive inverse of 3 would be -3, because 3 + -3 = 0.
Inverse multiplicative is defined as a number which when multiplied by the original number gives the product as 1. For example, the multiplicative inverse of 5 would be 1/5, because multiplying 1/5 by the number 5 would equal to the product of 1.
Opposite Numbers- The opposite of a number is the number on the other side of 0 number line, and the same distance from 0. Basically same thing as an additive inverse. The negative version of a positive number, and vice versa.
Reciprocal Numbers- The reciprocal of a number is this fraction flipped upside down. In other words, the reciprocal has the original fraction's bottom number—or denominator—on top and the top number—or numerator—on the bottom.
Absolute value- The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.
Find the value of x.
Answer:
12.5
Step-by-step explanation:
In this problem, we see a 5 on one side. The other side will be 5 as they have the congruent line indicator.
The formula for these types of problems are a*b=c*d.
a = 5
b = 5
c =2
d = x
(5)(5)=2(x)
x = 25/2 = 12.5
I am trying to help my daughter out and I have no clue
Answer all 4 please, rounded to the nearest 10th
A number line shows 1-2, and -13. Which statement is NOT true?
1} < -2 because 1 is located to the right of — 2 on the number line.
1} > -1 because 1 is located to the right of -1 on the number line.
-2} < -1% because -1; is located to the right of —2 on the number line.
Answer:
2nd statement
Step-by-step explanation:
it is
Estimate the sum. 10 1/9 + 5 14/15
Answer:
Step-by-step explanation:
10+5=15 1/9 goes into 15 about twice so it goes to plus 1
so about without solving is 16 1/15
PLEASE HELP WITH THIS
Step-by-step explanation:
hope you have got the answer in the attachment.
Kim wants to estimate the distance from her home to school. She times the walk as taking 15
min. What is the distance if Kim walks 1 mile in 20 min?
Answer:
0.75 miles
Step-by-step explanation:
15/20 = 3/4 = 0.75
15 is 3/4 of 20
0.75 mile is 3/4 of 1mile
What is the correct answer 2+245=
Answer:
247
Step-by-step explanation:
2 + 245
= 002 + 245
= 247
The measures of the angles of an isosceles triangle are in the ratio
3:3:2. Find the measure of the largest angle.
answer:
67.5
Explanation:
Let the triangle be ΔABC and angles be ∠A,∠B,∠C
Now, we know that all the 3 angles of a triangle sum up to be 180° from the Triangle Sum Property.
:.∠A + ∠B + ∠C = 180
:.3x+3x+2x=180 [3:3:2]
:.8x = 180
:.x = 180/8
:.x = 22.5°
:.
/_A=3x=3(22.5)=67.5°
/_B=3x=3(22.5)=67.5°
/_C=2x=2(22.5)=45°
NO LINKS!! Please help me with this problem
Answer:
1122.63ft
Step-by-step explanation:
Let, AB be the height of the monument, BC=789ft be the length of the monument ∠BAC=35.1° be the angle of elevation.
Now,
[tex]tanA=\frac{789ft}{AB} \\\\tan35.1=\frac{789ft}{AB} \\\\AB=\frac{789ft}{0.7028} \\\\AB=1122.63ft[/tex]
Hope this is correct.
please help me answer this asap thank you
find the value of x.
Answer:
x = 20
Step-by-step explanation:
the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord , that is
9x = 15 × 12 = 180 ( divide both sides by 9 )
x = 20
54 years 3 months - 25 years 6 months
Answer: 4 year difference
Step-by-step explanation: 4 year difference
what is 1/8 as a fraction decimal and percent
Find the equation of the tangent at ( 0 , 2) to the circle with equation
(x + 2)2 + (y + 1)2 = 13
Answer:
if this is high school i cant do it
Please look at the picture and answer it thank you.
¤ Angle sum property of triangle states that the sum of interior angles of a triangle is 180°
8x + 14 + 42 = 180 8x + 56 = 180 8x = 180 - 56 8x = 124 x = 124 / 8 x = 15Have a great day !!
Simplify the following into a single logarithm: 3 log ( 6 ) − 3 log ( x )
Answer:
3 log (6/x)
Step-by-step explanation:
Rule: log(a) - log(b) = log(a/b)
3 log ( 6 ) − 3 log ( x ) = 3 log (6/x)
The table below shows the number of ounces in price for each of the four different bottles of orange juice. Which bottle has a price of $.10 per ounce
Answer:
12 oz bottle
Step-by-step explanation:
See attached image.
The length of a classroom is 41 feet.
What is this measurement in yards and feet?
The measurement is yd ft.
Answer:
There are 3 feet in a yard, so divide 34 by 3, which is 11 with a remainder of 1, the remainder 1 is the remaining foot, so 34 feet is 11 yards and 1 foot.
Step-by-step explanation:
Solve all 3 Questions. 50 Points + Brainelist
Answer:
i) Using log law: [tex]\log_aa=1[/tex]
[tex]\implies \log_55+1=1+1=2[/tex]
ii) [tex]\log \left(\dfrac{15}{8}\right)+4 \log 2-\log 3[/tex]
Using log law [tex]a \log b=\log b^a[/tex]:
[tex]\implies \log \left(\dfrac{15}{8}\right)+\log 2^4-\log 3[/tex]
[tex]\implies \log \left(\dfrac{15}{8}\right)+\log 16-\log 3[/tex]
Using log law [tex]\log a-\log b=\log (\frac{a}{b})[/tex]:
[tex]\implies \log \left(\dfrac{15}{8}\right)+\log\left(\dfrac{16}{3}\right)[/tex]
Using log law [tex]\log a+\log b=\log(ab)[/tex]:
[tex]\implies \log \left(\dfrac{15}{8}\cdot \dfrac{16}{3}\right)[/tex]
[tex]\implies \log 10[/tex]
Using log law: [tex]\log_aa=1[/tex]
[tex]\implies \log_{10} 10=1[/tex]
iii) Take log of base 10:
[tex]\log_{10}(\sqrt{8.357}\times0.895^2)[/tex]
[tex]\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)[/tex]
Log tables
The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.
The mantissa is found using the log tables and is always prefixed by a decimal point.
The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number
Use the log tables to find [tex]\log_{10}(8.357)[/tex]:
8.357 = 8.357 × 10⁰
⇒ characteristic = 0
log table: row 83, column 5 ⇒ mantissa 9217
(as there is a 4th digit) Mean difference 7 = 4
mantissa + mean difference = 9217 + 4 = 9221 ⇒ 0.9221
characteristic + mantissa = 0 + 0.9221 = 0.9221
Therefore, [tex]\log_{10}(8.357)=0.9221[/tex]
Use the log tables to find [tex]\log_{10}(0.895)[/tex]:
[tex]0.895 = 8.95\times 10^{-1}[/tex]
⇒ characteristic = -1
log table: row 89, column 5 ⇒ mantissa 9518⇒ 0.9518
characteristic + mantissa = -1 + 0.9518= -0.0482
Therefore, [tex]\log_{10}(0.895)=-0.0482[/tex]
Therefore,
[tex]\implies \dfrac12\log_{10}(8.357)+2\log_{10}(0.895)[/tex]
[tex]\implies \dfrac12 \cdot 0.9221+2\cdot-0.0482[/tex]
[tex]\implies 0.36465[/tex]
Therefore,
[tex]\log_{10}(\sqrt{8.357}\times0.895^2)=0.36465[/tex]
Using [tex]\log_ab=c \implies a^c=b[/tex]
[tex]\implies \sqrt{8.357}\times0.895^2=10^{0.36465}[/tex]
[tex]\implies \sqrt{8.357}\times0.895^2=2.3155[/tex]
1 2 3 HELPPPPPPPPPP DUE IN 1 HOUR
Answer:
<(3) >(2)
Step-by-step explanation:
Genus < Phylum
Class < Family
Kingdom < Species
Order > Classes
Phylum > Family
im not 100%
but hope this helps pls mark as brainliest.
the function of g(x) is the height of a football x seconds after it is theown in the air. The football reaches its maximum height of 30 feet in 4 seconds, and hits the ground at 10 seconds. What is the practical domain for the function f(x)?
The domain of the function will be less than or equal to 4 is x ≤ 4
Domain of a functionThe domain of a function are real values for which the function exists
For the question given, the time taken will serve as the domain of the function while the height after a particular time will be the range.
The domain depends on the time it takes to reach the maximum height. SInce the football reaches its maximum height of 30 feet in 4 seconds, hence the domain of the function will be less than or equal to 4 is x ≤ 4
Learn more on domain here: https://brainly.com/question/26098895
A researcher decides to determine if the type of writing utensil that a student uses while doing their math affects their accuracy. A group of 1200 high school students in Algebra are randomly divided into four groups. One group uses a regular pencil, another uses a mechanical pencil, one group uses a pen and the fourth group is allowed to use whatever type of utensil they feel like. A math test is given and the results are tabulated for accuracy. The variable- type of writing utensil - is what type of variable?
Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.
What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.
Hence, since the variable assumes labels and not numbers, it is classified as qualitative.
More can be learned about quantitative and qualitative variables at https://brainly.com/question/20598475
prove that -
[tex] \sin {}^{2} (\theta) + \cos {}^{2} (\theta) = 1[/tex]
thankyou ~
Explanation:
In the right triangle shown in the attachment, we have, by definition, ...
sin(θ) = a/c
cos(θ) = b/c
Then ...
sin²(θ) +cos²(θ) = (a/c)² +(b/c)² = (a² +b²)/c²
By the Pythagorean theorem, ...
c² = a² +b²
Substituting for c², we have ...
sin²(θ) +cos²(θ) = (a² +b²)/(a² +b²)
sin²(θ) +cos²(θ) = 1
_____
Additional comment
This trig identity also goes by the name "Pythagorean identity."
Students were asked to choose the city they would most like to visit and 5/10 chose either New York or Los Angeles. If 2/10 of the students chose Los Angeles, what fraction chose New York?
Answer:
3/10
Step-by-step explanation:
There are 10 students
5 of them voted either Los Angeles or New York
That means ignore (screw) the other 5 people
If 2/10 students chose Los Angeles,
that is 2/5 because the others didn't choose those cities that are part of the equation (nobody asked about the other people)
So if 5 people chose two groups of cities, and two people chose one city, that meant 3 chose the other
3/10 (remember its out of all of them) Students Voted for New York
Hope this helps :)
-jp524
does 3x-y=4 and 6x-2y=8 have a solution?
Answer:
No there is no solution
Step-by-step explanation:
X cannot be found no matter how you try to solve the simultaneous equation so therefore y can also not be found.