Answers
Answer:
The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5
Step-by-step explanation:
The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)
The slope of line PQ is;
Slope = change in y ÷ change in x = [tex]\frac{6 - 0}{0 -- 3}[/tex] = 2
The product of slopes of two perpendicular lines = -1
Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2
Taking another point (x,y) and point P(-3,0) the equation of line PR is;
Slope = [tex]\frac{y - 0}{x - -3} = -\frac{1}{2}[/tex]
Cross-multiplying gives;
2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5
Related Questions
Please teach me these question step by step. Thank you
Answers
Answer:
a. 499
Step-by-step explanation:
a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.
the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.
ncert maths class 10 solution 5.1 4
Answers
Can you attach a picture to your question?
I would love to help you out.
Answer:
Step-by-step explanation:
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1
where is question ??
Does anyone know how to find these measures. Pls it’s due in a few hrs
Answers
Answer:
17) 120°
18) 85°
Step-by-step explanation:
→ Find the sum of angles in each shape
Quadrilateral = 360°
Triangle = 180°
→ Add the angles together and subtract it from the sum
360 - ( 80 + 80 + 80 ) = 120° for number 17
180 - ( 35 + 60 ) = 85° for number 18
help ASAP!!!
bensnsnana
Answers
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
Which of the following rules describes the function graphed below?
Answers
Answer:
D
Step-by-step explanation:
Output = 3*input - 2. Observe the graph again
Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!
Answers
To get a before point, start at the given point (6,3). Move along the x axis backwards four, and down 1. (2,2)
A checking account is
overdrawn by $5, then a
$5 fee is charged. What
is the balance on the
account?
Ty for any help!!!
Answers
minus/negative ten dollars.
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Tanisha has 7 less than 4 times as many
toy cars as Fernando. If Tanisha has 9
cars, how many toy cars does Fernando
have?
a. 2 toy cars
b. 4 toy cars
c. 8 toy cars
d. 29 toy cars
help!
Answers
Answer: D is my guess.
Step-by-step explanation:
If you multiply those two number and subtract it by tanisha that probably is your answer if I'm incorrect I'm sorry hopefully this helped
Refer to picture
Need help on Q.8
Answers
Answer:
Rajan = 436.36 rupees and Kamal = 363.63 rupees
Step-by-step explanation:
Total ratio = 11/30
Amount to be shared = 800
Rajan = Individual ratio / Total ratio x the total amount to be shared
1/5 ÷11/30 × 800 = 436.36
Kamal = 1/6 ÷ 11/30 × 800 = 363.63
factorise [tex]x^{2} + 11x[/tex]
Answers
Answer:
x(x+11)
Step-by-step explanation:
x^2+11x
Factor out x
x*x+11x
x(x+11)
If you divide $65 in the ratio 6:7, what is the smaller part?
A. $13
O B. $26
C. $30
OD. $35
Answers
Answer:
$30
Step-by-step explanation:
Let the ratios be 6x and 7x
Then 65 = 6x + 7x
65 = 13x
x = 65/13
x=5
6x = 6 x 5 = $30
7x = 7 x 5 = $35
Answer From Gauth Math
(b) In a sale the original prices are reduced by 15%.
(i)
Calculate the sale price of a book that has an original price of $12
Answers
Answer: $10.20
Step-by-step explanation:
convert the percentage to a decimal: 0.15
multiply the decimal 0.15 by the original price, $12, to find the amount that it will be discounted by: $1.80
subtract the discount from the original price: $10.20
Answer:
$9
Step-by-step explanation:
reduced price=15%*$12
= 15/100*$12
= $3
Sale price=original price - reduced Price
=$12-$3
=$9
What is the factored form of the expression 3x^2 + 6x – 24
Answers
Answer:
(3)(x + 4)(x-2)
Step-by-step explanation:
3x^2 + 6x – 24
3(x^2 + 2x - 8)
(3)(x + 4)(x-2)
Answer:
3(x - 2)(x + 4).
Step-by-step explanation:
3x^2 + 6x – 24
= 3(x^2 + 2x - 8)
= 3(x - 2)(x + 4).
please help me to solve this
Answers
Answer:
Step-by-step explanation:
a) 3x^2
b) (512)^-2/3=2^n
1/64=2^n
n=-6
What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w
Answers
Answer:
8
Step-by-step explanation:
more details
2(10)-3(4)
20-12
8
10 = z + 6 (show work)
Answers
Answer:
4
Step-by-step explanation:
10=z+6
or, z+6=10
or, z=10-6
or,z=4
May this help you
evaluate each expression below
Answers
Answer:
see below
Step-by-step explanation:
0/7 = 0
We can divide 0 by a non zero number
5/0 = undefined
We cannot divide by 0
What is the slope of the line?
Answers
The slope can be found between two points by finding the change in values divided by the change in values.
plss helppp!!
pls show how is it done
solve the equation :
x³ = 3x² + 3x - 1
Answers
Answer:
x³ = 3x² + 3x - 1x³- 3x² - 3x + 1 = 0(x³ + 1) - 3x(x + 1) = 0(x + 1)(x² - x + 1 - 3x) = 0(x + 1)(x² - 4x + 1) = 0(x + 1)(x² -4x + 4 - 3) = 0(x + 1)((x - 2)² - (√3)²) = 0(x + 1)(x - 2 + √3)(x - 2 - √3) = 0x = -1x = 2 - √3x = 2 + √3I need help ASAP!!Please explain how to do the problem
Answers
Answer:
[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]
Step-by-step explanation:
-8x - (3x + 6 ) = 4 - x
Answers
Answer:
-1
Step-by-step explanation:
Remember PEMDAS! Start with distributing the parentheses -(3x+6) so you get -8x-3x-6=4-x and simplify. Then you get -11x-6=4-x and combine like terms which equals -10=10x. Simplify and you get -1.
The solution to the equation -8x - (3x + 6) = 4 - x is x = -1.
What is the solution to the equation?Given the equation in the question:
-8x - (3x + 6 ) = 4 - x
To solve the equation -8x - (3x + 6) = 4 - x, simplify the equation by isolating all terms with variable x:
-8x - (3x + 6 ) = 4 - x
Distribute the negative sign inside the parentheses:
-8x - 3x - 6 = 4 - x
Combine like terms on both sides of the equation:
-11x - 6 = 4 - x
Add 6 to both sides:
-11x - 6 + 6 = 4 + 6 - x
-11x = 4 + 6 - x
-11x = 10 - x
Next, add x to both sides:
-11x + x = 10 - x + x
-10x = 10
Divide both sides of the equation by -10:
x = -10/10
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
#SPJ6
If l || m, classify the marked angle pair and give their relationship, then solve for x.
Answers
Answer:
14. x=16, 15. x=9
Step-by-step explanation:
14.
4x+4=7x-44 by alternate exterior angles
3x=48
x=16
15.
15x-26=12x+1 by alternate exterior angles
3x=27
x=9
How much of a circle does a 100-degree angle turn through?
A.1
B.100/180
C.50/360
D.100/360
Answers
Answer:
100/360
Step-by-step explanation:
A circle is 360 degrees
100/360
10/36
5/18
solve the inequality
[tex] \frac{1}{3} x \: + 1 \geqslant \frac{1}{2} x + \frac{1}{4} (2 - x)[/tex]
Answers
Answer:
x >= -6
Step-by-step explanation:
Multiply:
(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x
Combine like terms:
(1/3)x + 1 >= (1/4)x + 1/2
Move the x's on one side and the integers on another:
(1/3)x - (1/4)x >= 1/2 - 1
(1/12)x >= -1/2
x >= -6
I hope this helped! :D
LENGTH OF ARCS. URGENT.
Answers
Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.
Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).
Answers
Answer:
-3
Step-by-step explanation:
for this function you have to replace -1 were there's x in the function h(x)=2x-1
h(-1)=2(-1)-1
=-2-1
=-3
hope this helps
What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.
Answers
Answer:
C. –2
Step-by-step explanation:
The slope is equal to the number multiplying the x
Answer:
C
Step-by-step explanation:
Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2
Max A = 15 - x^2 - x
Answers
Answer:
not exactly sure what the question is but
if it is "what is the max that 15 - x^2 - x can be
then 2x-1 = 0 solves that
x = 1/2
Step-by-step explanation:
Please help if possible its important!!
Answers
Answer:
600 ft³
Step-by-step explanation:
Base area: B
Base is triangle
base = 12 ft and height = 5 ft
Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]
[tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]
H = 20 ft
Volume = B * H
= 30 * 20
= 600 ft³
Imagine you have a job where you earn $700 each week after taxes. Your monthly living expenses include $725 for rent, $125 for utilities, $120 for cable/internet, $35 for cellphone, and $48 for bus fare. You also have $1,100 in credit card debt that requires a minimum monthly payment of $78. You have also been keeping track of your expenses for several months by writing down everything you purchase. You found that you spend around $600 on groceries and $225 on dining out and entertainment. What is your monthly income?
Answers
The monthly income is $844.
Given:
Weekly earning after taxes is $700Monthly rent is $725Monthly expense for utilities is $125Monthly expense for cable/internet is $120Monthly expense for cellphone is $35Monthly expense for bus fare is $48Minimum monthly payment of credit card debt is $78Monthly expense for groceries is $600Monthly expense for dining out and entertainment is $225To find: The monthly income
The monthly income refers to the amount of money left over each month after paying all expenses.
Evaluating, we have,
The total monthly expense = $([tex]725 + 125 + 120 + 35 + 48 + 78 + 600 + 225[/tex])
That is, the total monthly expense is $1956.
It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $([tex]700 \times 4[/tex]), that is, $2800.
Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $([tex]2800-1956[/tex]), that is, $844.
The monthly income is $844.
Learn more about income and expenses here:
https://brainly.com/question/18456246
