Write the equation of a line that is parallel to y = -x + 7
and passes through the point (-4, 1). Write your answer
in slope-intercept form, y = mx + b.
Answer:
y= -x-3
Step-by-step explanation:
A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.
We get...
y= -x+b
1= -(-4)+b
1=4+b
b=-3
Our final equation is y=-x-3
Hope this helped
Select all irrational numbers.
Answer:
Option 1 , 2 & 5
Step-by-step explanation:
4 & 16 are perfect squares. So , 1/4 & 1/16 are also perfect squares. But 2 , 8 & 10 are not perfect squares. So root of 1/2 , 1/8 & 1/10 are irrational numbers.
Verification :-
1)[tex] \sqrt{ \frac{1}{10} } = \frac{ \sqrt{1} }{ \sqrt{10} } = \frac{1}{ \sqrt{2} \times \sqrt{5} } [/tex]
Hence , it is irrational.
2)[tex] \sqrt{ \frac{1}{8} } = \frac{ \sqrt{1} }{ \sqrt{8} } = \frac{1}{2 \sqrt{2} } [/tex]
So , it is irrational.
3)[tex] \sqrt{ \frac{1}{16} } = \frac{ \sqrt{1} }{ \sqrt{16} } = \frac{1}{4} [/tex]
So , it is rational.
4) [tex] \sqrt{\frac{1}{4} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2} [/tex]
So it is rational.
5) [tex] \sqrt{ \frac{1}{2} } = \frac{ \sqrt{1} }{ \sqrt{2} } = \frac{1}{ \sqrt{2} } [/tex]
Hence it is irrational.
Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here
Answer:
b = {20, -20}Step-by-step explanation:
Given function:
f(x) = -x² + bx - 65 with maximum value of 35To find
The value of bSolution:
Maximum value is obtained at vertex as a < 0
Vertex coordinate of x is:
x = -b/2a = -b / -2 = 1/2bSolving for b:
35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20See attached
Select all of the equivalent for:
2(x+10)
Helppppp pls
Answer: c
Step-by-step explanation:
HELP PLEASE I HAVE 2 HOURS TO FINISH THIS:
match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
Answer: ↓↓↓
Step-by-step explanation:
Slope intercept formula: y = mx + b
Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5
Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5
Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4
For a second of sauce 1 and sauce 2 Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers
Answer: Um ok? What are the measurements of the original batches...
Step-by-step explanation:
Mike paid $300 to join a gym, for one year, including a membership fee of $60. What is the monthly cost? Write
and solve an equation. Let m represent the monthly cost.
Answer:
720
Step-by-step explanation:
60×12=720 so the monthly yearly coast would be 720
ASAP!! plzz help! thanks
find the percent of change.
50 to 75 ft...
please explain.
Answer:
50%
Step-by-step explanation:
50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).
can u help me pls I need the answer now .
Answer:
m<ACB = 60°
Step-by-step explanation:
B is a right angle, so its 90°
180-150=30°
180-90=90°
90+30= 120°
180-120= 60°
30+60+90= 180°
Given mn, find the value of x.
(6x+20)
(8x-10)
the radius of a circle is 2 yards. what is the circles area
What is the value of 80 + 57
Answer:
137
Step-by-step explanation:
Add 80 and 57.
The senior classes at High School A and High School B planned separate trips to New York City.
The senior dass at High School A rented and filled 14 vans and 6 buses with 264 students. High
School B rented and filled 7 vans and 5 buses with 178 students. Every van had the same
number of students in it as did the buses. How many students rode in each van?
Answer:
9 kids
Step-by-step explanation:
Can someone please find x :) it will be much appreciated !! 20 points.
-5/6x -7/30x + 1/5x = -52
the answer will be a whole number or a simplified fraction.
Answer:
x=60
Step-by-step explanation:
my dad is a math teacher so I am good at math. I also used a calculator
Find the area of the polygon.
HELP PLEASE! I need helpppp!! :(
The value of a professor basketball players autograph rose 30% in the las year.It is now worth $286.00. What was it worth a year ago
A. $210.00
B. $230.00
C. $200.00
D. $220.00
Answer:
$220 dollars
Step-by-step explanation:
a = p * w (the percentage formula)
subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)
286 = 1.30 * w
solve.
w = 220
The morning temperature is -15° by the afternoon the temperature rises by 20° right in addition expression for the afternoon temperature and then to show this and find the temperature in the afternoon
Answer:
The afternoon temperature is
5°
Step-by-step explanation:
Step one:
given data
the morning temperature= -15°
the afternoon temperature rose by 20°
Required
The afternoon temperature
Step two:
Hence the afternoon temperature is given as
=-15°+20°
= 5°
Which two numbers multiply to 20 and add to 9
Answer: 5x4=20
And 5+4=9
Step-by-step explanation:
The required two numbers are 4 and 5.
What is equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
We need to find two number such that if multiply then we get 20 and add to get 9.
Let 'a' and 'b' be two numbers.
According to given conditions,
a × b = 20 .........................(i)
a + b =9 .......................(ii)
So, from given conditions we have two equations (i) and (ii).
From equation (ii) we have,
a = 9 - b ...............(iii)
Substitute above value of 'a' in equation (i),
⇒ (9 - b) × b = 20
⇒ 9b - b² = 20
⇒ b² - 9b + 20 = 0
Now we solve this quadratic equation to find b.
⇒ b² - 9b + 20 = 0
⇒ b² - 5b - 4b + 20 = 0
⇒ (b - 5) (b - 4) = 0
⇒ b = 5 or b = 4
Find the value of 'a' from equation (iii)
When b = 5
⇒ a = 9 - 5
⇒ a = 4
When b = 4
⇒ a = 9 - 4
⇒ a = 5
Therefore, the required two numbers are 4 and 5.
Learn more about equation here:
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Help me with this multiple choice question!
Answer:
B -4 A-7 C 0.5 D 2 E3 then F 11
Step-by-step explanation:
PLS HELP DUE SOON ILL GIVE BRAINLIEST
Answer:
a = w/p
Step-by-step explanation:
To take a out of the fraction, we can multiply both sides by a to get ap = w. Now, we divide both sides by p to get a = w/p.
Answer:
a = w/p
Explanation:
Step 1: Multiply both sides by a.
ap = w
Step 2: Divide both sides by p.
ap/p = w/p
a = w/p
8 feet in 15 seconds; 16 feet in 40 seconds
does this rate form a proportion?
Answer:
no
Step-by-step explanation:
8 ft in 15 sec
16 ft in 40 sec
8 is obviuosly half of 16, so to make it proportional it would have to be 16 ft 30secs
Help me out with this please??? someone??? A model airplane is built with a wing span of 23 inches. The actual wingspan is 92 feet. What is the scale of the model???
Answer:
The scale is five. you do 90 divided by 18.
What is the x-value of the solution to the system of equations:
y = -1/2x - 4
y = 2x + 1
Answer:
x = 0
x = (-1/2,0)
Step-by-step explanation:
Are the two ratios equivitant? Explain your reasoning. The ratios of boys to girls is 5 to 2. The ratio of girls to boys is 2:5
Answer:
Yes
Step-by-step explanation:
The order is switched from boys to girls(5 to 2)to girls to boys (2 to 5).
Hey guys this is confusing, someone plz help
Answer: x = 13
Step-by-step explanation:
To find the value of x, you have to find ∠QRP
∠QRP + ∠QRS = 180
∠QRP + 95 = 180
Subtract 95 from both sides
∠QRP = 85
∠RQP + ∠QPR + ∠QRP = 180 Definition of triangle
(4x + 3) + (3x + 1) + 85 = 180
Subtract 85 from both sides
(4x + 3) + (3x + 1) = 95
7x + 4 = 95
Subtract 4 from both sides
7x = 91
Divide 7 from both sides
x = 13
Solve the system of linear equations by using the substitution method. Descibe the process you used and the final answer. {5x+y=152x+y=12
Answer:
x=1 y=10
Step-by-step explanation:
5x+y=15
2x+y=12
y=12-2x
5x+12-2x=15
3x=3
x=1
5+y=15
y=10
What is evil and can trick you
Answer:
Wizard or the devil
Step-by-step explanation:
Answer:
The devil
[tex]el \: diablo[/tex]
A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
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