Find the equation of the line that passes through the points A (2, 3) and B (5, -7)
Answer:
10x+3y=29
Step-by-step explanation:
Given points:(x1,y1)=(2,3)
(x2,y2)=(5,-7)
We know, the equation of line passing through two points is given by,
y-y1={(y2-y1)/(x2-x1)}*(x-x1)
Hence,y-3={(-7-3)/(5-2)}*(x-2)
or,y-3=(-10/3)*(x-2)
or,3y-9= -10x+20
or,3y+10x=20+9
or,10x+3y=29 is the required equation.
Which graph shows a polynomial function of an even degree?
the answer is the first graph, A
which of the folowing could be the equation for a parabola that opens to the left with vertex (-17, 2)
Answer:
x = a(y+17)^2 + 2 where a < 0
Step-by-step explanation:
Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.
Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.
Substituting these in, we find that the equation is
x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)
I hope this helps! :)
PLS ANSWER ASAP DUE AT 9:20
Answer:
option B
Step-by-step explanation:
[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]
10. How many solutions does this system of equations have? Explain how you know.
y = -4x + 3
2x + 8y = 10
keenan got 13/25 for his mathematics test write down two equivalent fractions for this mark
first step for solving this quadratic equation?
x2+2x-11=4
Answer:
subtract 4 from both sides
Step-by-step explanation:
Given
x² + 2x - 11 = 4
First step : subtract 4 from both sides
x² + 2x - 15 = 0 ← in standard form
Second step : factorise the quadratic
(x + 5)(x - 3) = 0 ← in factored form
Third step : equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
Fourth step : state the solutions
solutions are x = - 5, x = 3
6x-27=-3x
solve for x:D
Answer:
6×-27=-3×
+3×
9/9×=27/9
×=3
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
Which?
A
B
C
D
Help me for 20 points!!!
Answer:
8/5
Step-by-step explanation:
7 3/10-5 7/10=8/5
Write an exponential function in the form y = ab" that goes through points (0,7)
and (9,3584).
Answer:
Step-by-step explanation:
I'm going to assume you meant y = ab^x. If this is not correct, leave a comment.
x = 0
y = 7
7 = a * b^0
anything to the zero power is 1
y = a*b^0
y = a*1
7 = a
So far what you have is
y = 7 * b^x
Now let
x = 9
y = 3584
3584 = 7 * b^9 Divide by 7
3584/7 = b^9
512 = b^9
If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.
So the easiest way is to find out what raised to the 9th power will equal 512
Could b = 5?
5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512
So let's try b = 3
3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.
We have just one more number that we can try.
2^9 = 512 and we have it
Answer y = 7*2^x
Dane sold a television for$35000 He was paid paid $1,750 in commission for his sale. At what rate was he paid commission for the television?
A bank account has an initial deposit of $14,000. After 8 years, the bank account
has $18,000. Assuming that compounding interest is done annually and that no
withdrawals are taken, find the annual interest rate on the investment. If the interest is compounded annually what is the approximate interest rate on the investment?
Answer:
2.3%
Step-by-step explanation:
18000 = 15000( 1 + i)^8
Divide both sides by 15000
1.2 = (1 + i)^8
Take both sides to the 1/8 power
1.2^(1/8) = 1 + i
1.023051875220463 = 1 + i
Subtract 1 from both sides
i = 0.023051875220463
~ 2.3%
I need help with this I don’t understand.
Answer:
the added degree of m1 and m2 equal m4
Write 8 as a percentage of 32
Plssss helppp
Answer:
25% of 32 is 8
Step-by-step explanation:
[tex]\frac{x}{100} * 32 = 8\\\\x = 25%[/tex]
Therefore, 25% of 32 is 8.
8 is 25% of 32.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
We know that, 8/32=1/4
in percentage form, 8 of 32= 1/4×100
=25%
Hence, 8 if 25% of 32.
To learn more on percentage click:
https://brainly.com/question/13450942
#SPJ2
Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
[tex]v=s^2h/2[/tex]
[tex]v=12.4(5)/3[/tex]
[tex]v=20.7~ft^3[/tex]
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hope it helps...
have a great day!!
Which of the following is an equation of the line that passes through the point (-2,3) and is perpendicular to the graph of the equation y = 3x - 2?
Answer:
y = -1/3x + 7/3
Step-by-step explanation:
A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.
Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.
3 = -1/3 (-2) + b
9/3 = 2/3 + b
7/3 = b
Now we can create a line in slope intercept form: y = -1/3x + 7/3
Here is Standard Form if needed: x + 3y = 7
What is the length of the radius, r?
Answer:
half the length of diameterStep-by-step explanation:
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Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
HURRY HELP.. whats the indicated measure
Answer:
< ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)
< ABE = 1/2 ( 38+ 180)
< ABE = 1/2( 218)
< ABE = 109
consider the figure below
given
m || n
m∠2=3x+53
m∠7=7x-55
what is m∠8?
Answer:
m<8 = 46°
Step-by-step explanation:
m<2 = m7 (alternate exterior angles are congruent)
Substitute
3x + 53 = 7x - 55
Collect like terms
3x - 7x = -53 - 55
-4x = -108
Divide both sides by -4
-4x/-4 = -108/-4
x = 27
m<8 + m<7 = 180° (linear pair angles)
Substitute
m<8 + 7x - 55 = 180°
Plug in the value of x
m<8 + 7(27) - 55 = 180
m<8 + 189 - 55 = 180
m<8 + 134 = 180
Subtract 134 from each side
m<8 = 180 - 134
m<8 = 46°
18 divided by under root 18
Answer:
18
√18
=3√2(Decimal: 4.242641)
SOMEONE PLSSSS HELP!!!!!!!
Answer:
you can use desmos
Step-by-step explanation:
for example put x=88
and do the same with the rest
then put x+y+z and you will get your answer
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
find the measure of angle 3
Answer:
angle 3 is 87 degree
Step-by-step explanation:
-7x+191=-5x+163(they are alternte interior angle)
-7x+5x=163-191
-2x=-28
x=-28/-2
x=14
substitute the value of x in -5x+163
-5*14+163
-70+163
93
Now,
angle 3 + (-5x+163) = 180 degree (they are cointerior angles)
angle 3 + 93 = 180
angle 3 = 180-93
angle 3 = 87 degree
geometry geometry geometry geometry geometry geometry help me pleasee
Answer:
Step-by-step explanation:
take 74 degree as reference angle
using cos rule
cos 74 =adjacent/hypotenuse
0.275=x/12
12*0.275=x
3.3=x
take 36 degree as reference angle
using sin rule
sin 36=opposite/hypotenuse
0.587=x/11
0.587*11=x
6.457=x
6.5=x
take 39 degree as reference angle
using tan rule
tan 39=opposite/adjacent
0.809=13/x
x=13/0.809
x=16.06
x=16.1
take 16 degree as reference angle
using tan rule
tan 16=opposite /adjacent
0.286=x/14
0.286*14=x
4.00=x
4.0=x
x=
I feel like i’m wrong lol, Correct me please.
3. What are the features of an Informative Text?
a. topic sentence, supporting details and clinching sentence
b. introduction, body and conclusion
c. unity, completeness, coherence and emphasis/order
d. informal and incomplete
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.