Answer:
[tex]y=-9[/tex]
Step-by-step explanation:
We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).
Note that x=1 is a vertical line since x is 1 no matter what y is.
This means that if our new line is perpendicular to the old, then it must be a horizontal line.
So, since we have a horizontal line, then our equation must be our y-value of our point.
Our y-coordinate of our point (8,-9) is -9.
Therefore, our equation is:
[tex]y=-9[/tex]
And this is in standard form.
And we're done!
Write the equation of a line with a slope of 3 and a y-intercept of 4. Do not use spaces
in your response.
Answer:
Y=3x+4
Step-by-step explanation:
Which of the following options is the standard form of the linear equation 7x - 21 + 2y = 0?
7x + 2y - 21 = 0
21 + 2y + 7x = 0
2y + 7x - 21 = 0
7x - 21 + 2y = 0
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiStep-by-step explanation:
Is -43 a rational number?
middle school math!
really easy points :D
Answer:
check b, c, and d
Step-by-step explanation:
not all functions are linear so don't click A.
Answer:
I'm not sure if it's c but b and d are true
Step-by-step explanation:
Sorry this is late.... need the points
Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Angle P Q R has measure 3 x minus 5 degrees and angle R Q S has measure x plus 1 degrees. m∠PQR =
Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
The measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.
Given that, points P, Q and S are collinear, then the three points lies on the same straight line.
The straight ∠PQS is divided into 2 angles as ∠PQR and ∠RQS, by ray QR, then ∠PQR + ∠RQS = 180°
Here, ∠PQR = (3x-5)° and ∠RQS =(x+1)°
So, (3x-5)°+(x+1)°=180°
4x-4=180
4x=184
x=184/4
x=46
Now,
∠PQR = (3x-5)°
= 3×46-5
= 138-5
= 133°
Hence, the measure of angle m∠PQR is 133° and the measure of angle m∠RQS is 47° on straight angle ∠PQS.
Learn more about the angles at a point on a straight line here:
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Nikolas and Angela were trying to solve the equation:
3x^2+10x=0
Nikolas said, “I can complete the square. Half of 10 is 5, and 5 squared is 25. So I'll add 25 to both sides, factor, and solve.”
Angela said, “I'll factor the left-hand side of the equation as x(3x+10), and solve using the zero product property."
Whose solution strategy will work?
zero product property (Angela)
Step-by-step explanation:Hi there !
(Angela)
3x² + 10x = 0
x(3x + 10) = 0
x = 0 => x₁ = 0
3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3 1/3
Good luck !
Answer:
only angelas
Step-by-step explanation:
Which rate is equivalent to the unit rate of 17 miles per gallon?
Answer:
B.
Step-by-step explanation:
51 miles / 3 gallons = 17 miles per gallon
its b i did the test
5x + 3 < -7 or -2x - 6 < -8
Answer:
-2x - 6 < -8
Step-by-step explanation:
when the first one is smiplfid it gives us x<−2
when the second one is smiplfid it gives us x>1 which means it's correct because 8 is greater than 1
plz mark brainliest
Answer:
( −∞ , −2 ) ∪ ( 1 , ∞ )
Step-by-step explanation:
5x + 3 < -7 → x < −2 → ( −∞ , −2 )
-2x - 6 < -8 → x > 1 → ( 1 , ∞ )
5x + 3 < -7 or -2x - 6 < -8 → x < −2 or x > 1 → ( −∞ , −2 ) ∪ ( 1 , ∞ )
Graph 1) 5x + 3 < -7
Graph 2) -2x - 6 < -8
Graph 3) 5x + 3 < -7 or -2x - 6 < -8
Gavin borrowed $250 from his parents to buy a new mp3 player. Each week he pays his parents back $10. The function, m(w) = 250 – 10w, represents how much money Gavin still owes his parents. What does the value of w represent when m(w) = 0? Explain your reasoning. What is the value of w when m(w) = 0?
Answer:
m=25
Step-by-step explanation:
You want to divide 250 by 10 to find the number of weeks it would take him to pay back his parents. which would be 25. It would take Gavin 25 weeks to pay his parents back. m(w)=0 just is telling you the worth of that part of the equation.
is 3pi rational or irrational I keep getting mixed answers.
Answer:
Irrational.
Step-by-step explanation:
π, or pi, is an irrational number. 3 times π would still be irrational, as its decimal never ends.
3pi is an irrational number an irrational number (pi) multiplied by a rational number is irrational
how do you solve this equation by completing the square2x² + 16x - 11 = -7
SHOW YOUR WORK!!!
Answer:
x = -4 ± 3√2Step-by-step explanation:
See the steps
2x² + 16x - 11 = -72(x² + 8x) = 4x² + 8x = 2x² + 8x + 16 - 16= 2(x² + 8x + 16) = 16 + 2(x + 4)² = 18x + 4 = ± 3√2x = -4 ± 3√2An exponential function is not an appropriate model because, for evenly spaced x-values, the ______ of consecutive y-values is not constant.
Answer: ratio on edg.
Step-by-step explanation:
Answer:
ratio
Step-by-step explanation:
Find the x plz help
[tex]\tt Step-by-step~explanation:[/tex]
To solve for x, we need to know that the angles inside of a triangle is always equal to 180º.
[tex]\tt Steps:[/tex]
Since all the angles added together are equal to 180º, we simply have to add the two given angles and subtract that from 180º.
[tex]\tt 43+60=103\\180-103=77\\x=77[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=77}[/tex]
which number is IRRATIONAL?
Answer:
96 is the irrational number :)
Step-by-step explanation:
Since 96 is not a perfect square, it is an irrational number.
Hope this helps!!!:)
Numerical information in a variety of media
Answer:
Step-by-step explanation:
148 000 000 km + 800 000 km = 148 800 000 km
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
a2 + 12 + 181
When a = -2 and b =
14, the value of the expression is
Answer:
√(-2)²+12+14=√16+14=4+14=18
Step-by-step explanation:
The value of expression (√a² + 12) + |b| when a = -2, b = 14 is 16.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given expression
(√a² + 12) + |b|
a = -2
b = 14
Substituting value of a and b in the expression
(√-2² + 12) + |14|
= (√4 + 12) + 14
= (√16) + 14
= 4 + 14
= 16
Hence, 16 is the value of expression (√a² + 12) + |b| when a = -2, b = 14 .
Learn more about expression here:
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Is the following statement true or false?
The intersection of two lines can be a line segment.
Answer:
True
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Mrs. Johnson is buying a car that costs $15,000. She has $3,000 for a down payment. If each of her four children want to pay for the rest of the car, how much does each child need to pay?
Answer: 15-3=12 12/4=3 each child will pay 3,000
Given h(x) = 2x – 3, find h(9)
Answer:
h(9) = 14
Explanation:
h(x) = 2x - 3
h(9) = 2(9) - 4
h(9) = 18 - 4
h(9) = 14
Members of a club are selling calendars as a fundraiser. The club pays $100 for a box of wall and desk calendars. They sell wall calendars for $12 and desk calendars for $8.Write an algebraic expression to model the club's profit from selling w wall calendars and d desk calendars.
Answer:
12w + 8d = 100
Step-by-step explanation:
Given:
Price of wall calendars = $12
Price of desk calendars = $8
Total amount pay = $100
Computation:
w = wall calendars
d = desk calendars
So,
Price of wall calendars(w) + Price of desk calendars(d) = Total amount
12w + 8d = 100
The circumference of a soda can is 62.8 mm. Find the radius of the soda can?
Answer:
9.99493
Step-by-step explanation:
You divide the circumference by pi to get the diameter. Then if you want the radius, you just simply cut the diameter in half!
Find the midpoint of the segment with the following endpoints.
(10,5) and (6,9)
Answer:
[tex](8 ,7 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
[tex](\frac{10+6}{2} ,\frac{5+9}{2} )[/tex]
[tex](\frac{16}{2} ,\frac{14}{2} )[/tex]
[tex](8 ,7 )[/tex]
Chelsea baby sister is 25 inches long she is weari pajamas that fit babies up to 32 inches long.which inequality can be used to find the number of inches (x) the baby can grow and still fit into pijamas
Answer:
7
Step-by-step explanation:
Answer:
32>25
it will be 7 inches
if x²-5x +1 =0, what is the value of -
[tex](x + \frac{1}{x} ) [/tex]
=================================================
Work Shown:
x^2 - 5x + 1 = 0
x^2 + 1 - 5x = 0
x^2 + 1 = 5x
(x^2 + 1)/x = 5 .... where x is nonzero
(x^2)/x + (1/x) = 5
x + (1/x) = 5
---------------
An alternative method involves solving the original equation using the quadratic formula. After you get the two roots x = p and x = q, you should be able to find that p + 1/p = 5 and also q + 1/q = 5 as well.
In this case,
p = (5 + sqrt(21))/2
q = (5 - sqrt(21))/2
Answer:
5
Step-by-step explanation:
Since this equation is not factorable, you can either use the quadratic formula, graph and look for its zeros, or other methods to get it's zeros.
But using the quadratic formula which always spits out a x value gives me:
4.791 and 0.209.
Now let's test both of these values since we have two x values.
[tex](4.791+\frac{1}{4.791})[/tex] ≈5 (4.9999)
and
[tex](0.209+\frac{1}{0.209})[/tex] ≈5 (4.9936)
The Jenkins family and the Alexander family each used their sprinklers last summer. The water output rate for the Jenkins
family's sprinkler was 25 L per hour. The water output rate for the Alexander family's sprinkler was 40 L per hour. The
families used their sprinklers for a combined total of 45 hours, resulting in a total water output of 1425 L. How long was
each sprinkler used?
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
Help me out please thank u
Explanation:
Points A, C, U, D, S and E are all in the bottom floor plane. A plane is a flat surface, and saying "points are coplanar" means the points are all on the same plane.
Points like R, T and B are not on the floor plane, so they are not coplanar with the other points mentioned in the previous paragraph.
In other words, point R is not coplanar with points C, D and E since R is not on the floor plane with C,D,E.
Lisa is sitting on the dock beside the lake she drops a rock from her hand into the lake after the rock hits the surface of the lake the rocks distance from the lake surface changed at a rate of -3 in./s if Lisa holds her hand 3 feet above the lake surface how hot how far from Lisa's hand is the rock five seconds after hits the surface
Answer: 4.2495 feets
Step-by-step explanation:
Given the following :
Rate of change (speed) when rock hits the lake surface = - 3in/s
Distance or depth after 5 seconds :
Distance = rate of change * time
Distance = (- 3 in/s × 5) = - 15 inches
1 inch = 0.0833 feet
15 inches = (-15 * 0.0833) = - 1.2495 feets
Distance between Lisa's hand and lake surface = 3 feets :
Distance between Lisa's hand and rock after 5 seconds :
(3 feets + 1.2495 feets) = 4.2495 feets
Help!! and it said 20 characters so....
The volume is 1562.4 cm^3
V = (173.6 cm^2)(9cm)
= 1562.4 cm^3
What is the lcm of 2/5 and 5/18?
Answer:
10
Step-by-step explanation:
A triangle has perimeter 37 cm
Two sides of the shapes are put
together to make a pentagon
A square has perimeter 56 cm.
What is the perimeter
of the pentagon?
