A line is parallel to the x-axis and passes through the point (-5,4)
What is the equation of that line, the slope of that line, and what would be the slope of a line perpendicular to that given line?
9514 1404 393
Answer:
y = 4slope: 0slope of perpendicular: undefinedStep-by-step explanation:
The x-axis is a horizontal line. As such, it has a slope of zero. The equation of a horizontal line is ...
y = constant
__
For the line through (-5, 4), the constant must match the y-coordinate: 4. The equation is ...
y = 4
As we said above, the slope of that horizontal line is zero.
The perpendicular line will be a vertical line of the form x=constant. The slope of a vertical line is undefined.
(a)
537
Given that -+-+-=0, express a in terms of b and c.
a b c
Ar (9² - s)
Make q the subject of the formula p:
a
(b)
Answer:
Here ia your answer
Hope it helps
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{5}{a}[/tex] + [tex]\frac{3}{b}[/tex] + [tex]\frac{7}{c}[/tex] = 0 ( multiply through by abc to clear the fractions )
5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )
3ac + 7ab = - 5bc ( factor a out of each term on the left side )
a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)
a = - [tex]\frac{5bc}{3c+7b}[/tex]
---------------------------------
(b)
p = [tex]\frac{\sqrt{4r(q^2-s)} }{q}[/tex] ( multiply both sides by q )
pq = [tex]\sqrt{4r(q^2-s)}[/tex] ← square both sides
(pq)² = 4r(q² - s) ← distribute
p²q² = 4rq² - 4rs ← subtract 4rq² from both sides
p²q² - 4rq² = - 4rs ( multiply through by - 1 )
4rq² - p²q² = 4rs ← factor out q² from each term on the left side
q²(4r - p²) = 4rs ← divide both sides by (4r - p²)
q² = [tex]\frac{4rs}{4r-p^2}[/tex] ( take the square root of both sides )
q = ± [tex]\sqrt{\frac{4rs}{4r-p^2} }[/tex]
a) make h the subject of the formula
T=26- h/500
b) the outside air temperature T°C,of an aircraft at a height, h feet , given by
T=26- h/500
the outside air temperature of an aircraft is -53°C
1 metre=3³/8 feet
calculate the height in metres of the aircraft
Answer:
11703.7 metres
Step-by-step explanation:
* means multiply
/ means divide
plug in the values
T=26- h/500
-53 = 26- h/500
-53 -26 = h/500
-79 = h/500
-79 * 500 = h
-39500 = h
-39500 is in feet
3³/8 =
39500 / 3.375 =
11703.7037037 metres
The table below shows Mandy's test scores what is the mean of her test scores
78 89 83 80 84
95 100 86 84 91
A 88 b 87 c 85 d 84
Answer:
B,87
STEPS
78+89+83+80+84+95+100+86+84+91
10
870
10
20 = 7x + 2 - 4x
What does x equal
Answer:
x = 6
Step-by-step explanation:
20 = 7x + 2 - 4x
7x + 2 - 4x = 20 (switch the sides)
7x - 4x + 2 = 20 (group the like terms together)
3x + 2 = 20 (add similar numbers, in this case it's the both x's)
-2 -2 (subtract 2 on both sides)
------------------
3x = 18
/3 /3 (divide both sides by 3)
-------------------
x = 6
An arc 28 cm is cut from a circle of radius 15 cm. Find the angle of the sector formed by this arc.
Answer:
[tex]\displaystyle \frac{28}{15}\; \text{radians}[/tex], which is approximately [tex]107^{\circ}[/tex].
Step-by-step explanation:
In a given circle, the angle of a sector is proportional to the length of the corresponding arc:
[tex]\displaystyle \frac{\text{angle of sector $1$}}{\text{angle of sector $2$}} = \frac{\text{length of arc of sector $1$}}{\text{length of arc of sector $2$}}[/tex].
For the circle in this question, [tex]r = 15\; \rm cm[/tex], and the circumference would be:
[tex]2\, \pi \, r = 30\, \pi\; \rm cm[/tex].
The full circle itself is like a sector with an angle of [tex]2\, \pi[/tex], with the arc length equal to the circumference of the circle.
[tex]\displaystyle \frac{\text{angle of sector}}{\text{angle of full circle}} = \frac{\text{length of arc of sector}}{\text{circumference of circle}}[/tex].
[tex]\displaystyle \frac{\text{angle of sector}}{2\,\pi\; \rm rad} = \frac{28\; \rm cm}{30\, \pi\; \rm cm}[/tex].
Rearrange the equation to find the angle of the sector:
[tex]\begin{aligned} & \text{angle of sector} \\ =\; & (2\,\pi\; \rm rad) \cdot \frac{28\; \rm cm}{30\, \pi\; \rm cm} \\ =\; & \frac{28}{15}\; \rm rad\end{aligned}[/tex].
In other words, the angle of this sector would be [tex]\displaystyle \frac{28}{15}\; \rm rad[/tex]. Multiply that measure in radians by [tex]\displaystyle \frac{360^{\circ}}{2\,\pi\; \rm rad}[/tex] to find the value of the angle measured in degrees:
[tex]\begin{aligned} & \frac{28}{15}\; \rm rad \times \frac{360^{\circ}}{2\,\pi\; \rm rad} \approx 107^{\circ}\end{aligned}[/tex].
the dash unit of length is metre
Answer:
Units of Length
10 millimeters (mm) = 1 centimeter (cm)
10 decimeters = 1 meter (m)
10 decimeters = 1000 millimeters
10 meters = 1 dekameter (dam)
help pls ASAP im doing this for my sister.
10 points if you check that the work is correct or wrong!1
Also i need answers for the bottom.
Answer:
1. Amy, Rick, Jeff, Bonnie (Bonnie wins)
2a. You're answer is correct since there is multiple ways to do it
2b. 52212 is greater than 43541 because it is a bigger number
Step-by-step explanation:
if a≠0 and the sum of x and 1-a is 0, then
Answer:
x+ ( 1– a ) = 0
x= – 1 + a
I hope I helped you^_^
where can i find the answers?
Answer:
I don't know where can you find this question's answer.
Need help ASAP please!! See attached photo
Answer:
Angle ABC = 110 degrees
Step-by-step explanation:
Set angle ABC equal to the two parts and solve for x
17x + 8 = 42 + 12x - 4
17x + 8 = 12x + 38
5x = 30
x = 6
Plug in x to angle ABC and solve
17(6) + 8 = 110
Y'ALL, WOULD A KIND SOUL PLEASE PLEASE HELP ME???!!!!!!!!!!! im running out of points
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
show how you got your answer so I can see if it makes any sense!!!
1. ∠A and ∠B are complementary
2. ∠A + ∠B = 90° and ∠B + ∠C = 90°
3. ∠A = 90° - ∠B
4. ∠C = 90° - ∠B
5. ∠A ≅ ∠C
Barry is measuring the length of his pencils. The red pencil is 4.32 inches long, the blue pencil is 6.1 inches long, and the green pencil is 2.27 inches long. What is the sum of the lengths of the pencils? 7.20 inches 12.61 inches 12.69 inches
I NEED ANWSER FAST! AND QUICK! PLEASE HELP! I give 38 points who ever answer!! PLEASE!!!
Answer: [tex]\boxed {12.69 inches}[/tex]
Step-by-step explanation:
Given information
Red pencil = 4.32 inches
Blue pencil = 6.1 inches
Green pencil = 2.27 inches
Expression deducted from the question
Total length = Red pencil + Blue pencil + Green pencil
Substitute values into the expression
Total length = (4.32) + (6.1) + (2.27)
Simplify by addition
Total length = 10.42 + 2.27
Total length = 12.69 inches
Hope this helps!! :)
Please let me know if you have any questions
The sum of the length of the pencils is 12.69 inches
To Obtain the sum of the length of the pencils, we use the addition operator on the given lengths :
Red pencil = 4.32 inches Blue pencil = 6.1 inches Green pencil = 2.27 inchesThe sum of the lengths of the pencils :
(4.32 + 6.1 + 2.27) inches = 12.69 inches
Therefore. The total sum of the lengths of the pencils is 12.69 inches
Learn more : https://brainly.com/question/2610134
I have no idea what I am doing
Answer:
I have no idea either
Step-by-step explanation:
The perimeter of a rectangle can be found using the formula P = 4 s .
True or False
Answer:
[tex]{ \underline{ \sf{true}}}[/tex]
Answer:
The perimeter of a rectangle can be calculated by adding both lengths, and both widths
Step-by-step explanation:
find the cost of of 1/2 litre if if 6 litres cost £7.20
if 6 litres cost £7.20
then 1/2 of it will cost 'x'(algebraic value)
we form equation
[tex] \frac{ 7.2}{6} \times \frac{1}{2}x[/tex]
which is equal to 0.6
Cost of 1/2 liter is £0.6.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
Cost of 6 liters ⇒ £7.20
Cost of 1/2 liter ⇒ X
According to the unitary method
6X = [tex]7.20\times\frac{1}{2}[/tex]
X = [tex]\frac{7.20}{6}\times\frac{1}{2}[/tex]
X = [tex]\frac{3}{5}[/tex]
X = £0.6
Cost of 1/2 liter is £0.6
Find out more information about unitary method here
https://brainly.com/question/22056199
#SPJ2
-2b(-7)=11
=============
Answer:
Solution given:
-2b(-7)=11
open bracket
-2b*-7=11
+14b=11
divide both side by 14
14b/14=11/14
b=11/14
Answer:
[tex] - 2b ( - 7) = 11 \\ - 2b \times - 7 = 11 \\ 14b = 11 \\ b = \frac{11}{14} \\ thank \: you[/tex]
Which numbers in set A = ( -7,-4, 2, 14, 21,34, 42) are elements of b and c, shown below? Set b= ( even numbers) set c: ( multiples of 7) enter answers from largest to smallest.
Answer:
(14, 42)
Step-by-step explanation:
(-4, 2, 14, 34, 42) are all elements of b, and (-7. 14, 21, 42) are all elements of c. (14, 42) are the only elements that are in both sets
4/9 and 10/3 least common denominator?
Answer:
4/9 and 30/9
Step-by-step explanation:
9, 18, 27, 36
3, 6, 9, 12,
4/9 already has 9 denominator
10/3 × 3/3= 30/9
so now both numbers have common denominators.
4/9 and 30/9
[tex]5^{6}[/tex]
Please show work:
Which is equivalent to 64^1/4?
2^4√4
4
16
16^4√4
Answer:
Step-by-step explanation:
[tex]64^1/4\\\\=\dfrac{64^{1}}{4} \\\\=\dfrac{64}{4} \\\\=16\\\\Answer\ C[/tex]
SOLVE FOR X
2x+15=2x-15
[tex]\\ \rm\Rrightarrow 2x+15=2x-15[/tex]
[tex]\\ \rm\Rrightarrow 2x-2x=-15-15[/tex]
[tex]\\ \rm\Rrightarrow 0=-30[/tex]
Hence
[tex]\\ \rm\Rrightarrow x=\infty[/tex]
Simplify -2/3+1 5/6+(-3/2)
Plsss guys I need ur help
Step-by-step explanation:
[tex] - \frac{2}{3} + 1 \frac{5}{6} + ( - \frac{3}{2} )[/tex]
[tex] = 1 \frac{5}{6} - \frac{2}{3} - \frac{3}{2} [/tex]
[tex] = \frac{11}{6} - (\frac{2}{3} + \frac{3}{2} )[/tex]
[tex] = \frac{11}{6} - ( \frac{4 + 9}{6} )[/tex]
[tex] = \frac{11}{6} - \frac{13}{6} [/tex]
[tex] = \frac{11 - 13}{6} [/tex]
[tex] = \frac{ - 2}{6} [/tex]
After simplifying,
[tex] = \frac{ - 1}{3} (ans)[/tex]
Find f(3x-2) for f(x)=x-5
Answer:
f(x)=x–5
f (3x–2) = (3x–2) –5
f (3x–2) = 3x–7
I hope I helped you^_^
collection of even numbers is well defined set or not
Answer:
set of even counting number is well-defined
five times the sum of two times a number and 3
Answer:
5×(2x+3)
Step-by-step explanation:
hope this helps:)
2sin60° sin90°+ cos60°cos0
Answer:
[tex]\sqrt{3 }[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Using exact values
2sin60°sin90° + cos60°cos0°
= 2 × [tex]\frac{\sqrt{3} }{2}[/tex] × 1 + [tex]\frac{1}{2}[/tex] × 1
= [tex]\sqrt{3}[/tex] + [tex]\frac{1}{2}[/tex] ← exact value
find the ratio in lowest terms a 1.5m and 75 cm
-6x –(-9 – 4x) = -2(3x – 5)?
Answer:
x = 1/4
Step-by-step explanation:
-6x –(-9 – 4x) = -2(3x – 5)
-6x + 9 + 4x = -6x + 10
-2x + 9 = -6x + 10
-2x + 6x = 10 - 9
4x = 1
x = 1/4
On the test, when Tom simplified the expression he got 5.8. What mistake did Tom likely make when he simplified the expression?
Answer:
It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.
Step-by-step explanation: