Answer:
b= (2a+11)/5
Step-by-step explanation:
5x + 2y = 9
2y=9-5x
y= 9/2 - 5x/2
slope, m1= -5/2
for perpendicularity, m1 × m2 = -1
slope for QR= m2=
[tex] = - 1 \div \frac{ - 5}{2} = - 1 \times \frac{2}{ - 5} = \frac{ - 2}{ - 5} = \frac{2}{5} [/tex]
m2 is 2/5
[tex]qr = \frac{b - 3}{a - 2} [/tex]
[tex] \frac{2}{5} = \frac{b - 3}{a - 2} [/tex]
5(b-3)=2(a-2)
5b-15=2a-4
5b=2a-4+15
5b= 2a+11
[tex]b = \frac{2a + 11}{5} [/tex]
An expression for b in terms of a is b = (2a + 11)/5.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given an equation of a line 5x + 2y = 9 ⇒ 2y = - 5x + 9 ⇒ y = (-5/2)x + 9/2.
So, the slope of the line parallel to QR is the slope negative reciprocal of (-5/2) which is (2/5).
We know slope m = (b - 3)/(a - 2).
∴ (2/5) = (b - 3).(a - 2).
2(a - 2) = 5(b - 3).
2a - 4 = 5b - 15.
2a + 11 = 5b.
b = (2a + 11)/5.
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Solve the equation h+28= -37
Answer:
-65
Step-by-step explanation:
h + 28 = -37
-28 -28
h = -65
Se tienen 240 cajas con 25 bolsas cada una . Si cada bolsa pesa 0.69 kg. Cual es el peso del cafe?
Answer:
Step-by-step explanation:
There are 240 boxes with 25 bags each. If each bag weighs 0.69 kg. What is the weight of coffee?
Determine the slow & y-intercept for the line shown. Then write the equation . If you hurry I’ll mark brainliest
Answer:
y = 3x + 4
Step-by-step explanation:
slope is 9/3 simplified to 3
y intercept is 4
27. Jacob collects hats. He has 6 hats already and collects 2
more hats each week. How many week would it take Jacob
to collect 32 hats?
WILL GIVE BRAINLIEST-
Complete the table to multiply x^2 - 4x + 4 and 6x + 3.
this is due in 4 hours plus i have 5 classes left please help
Answer:
Onaje is correct.
Step-by-step explanation:
To start, total up how many shirts we have, and multiply them by t. Since they are the same price, we now have a total for how many shirts they bought. This proves the second and third equations that they wrote. If you take the easy way and just add them, you'll still have 25t, making Onaje's expression correct.
EDIT: Just saw you need why it's incorrect for Paula, just hold on.
So for Paula, it's simple why she is incorrect. If you look at the third equation she wrote, she's adding 25 to 2t, which is completely incorrect, and will come up with a different result than 16t + 9t.
Hope this helps.
What is the surface area of this design?
5 in.
256 in2
160 in2
8 in.
96 in2
4 in.
288 in2
4 in.
8 in.
Answer:
Pretty sure its 256 in2
Step-by-step explanation:
did the iready test
By decomposing the design into two rectangular prisms, the surface area of the design is calculated as: A. 256 in.²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism is expressed as, S = 2(lw + lh + wh).
The design can be decomposed into top rectangular prism and bottom rectangular prism.
The surface area of the design = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of the top rectangular prism that joins the bottom rectangular prism)
Surface area of the top rectangular prism = 2(lw + lh + wh) = 2(5×4 + 5×4 + 4×4) = 112 in.²
Surface area of the bottom rectangular prism = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 184 in.²
Area of the top rectangular prism that joins the bottom rectangular prism = l × w = 5 × 4 = 20 in.²
The surface area of the design = 112 + 184 - 2(20) = 256 in.²
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I need help with Geometry
which of the following types of electromagnetic radiation has the shortest wavelength
a.visble
b.infared
c ultraviolet
d.radio
Answer:
i thought it would be - B. ULTRAVIOLET ray
Evaluate 35/a when a=7. The value is
Answer:
a = 5
Step-by-step explanation:
a = 7
35/a
35/(7)
= 5
Hope this helped
Find the measure
of DBC
Answer:
[tex]angle \: abc = \\ 4x + 2x = 180 \\ 6x = 180 \\ x = 30 \\ angle \: dbc = 2x \\ = 2 \times 30 \\ = 60[/tex]
need brainliest pls..f(x)=3•2^x for x = 5
Evaluate the function
Please help!!!
______________________________
1.) Calculate 2 to the power of 5:[tex]2^5=32[/tex]- When calculating powers, you take the base and multiply by the base however what the number of the exponent is. In this case the base is 2. So you do 2 × 2 × 2 × 2 × 2 = 32.
2.) Multiply 3 and 32:[tex]3[/tex] × [tex]32=96[/tex]So your answer is [tex]\bold{96}[/tex].
______________________________
Is the following relation a function?
Answer:
no
Step-by-step explanation:
the x value (-1) repeats therefore it ain't a function
8.35 < 3x +18.75
Pls help
Step-by-step explanation:
8.35 < 3x + 18.75
3x + 18.75 > 8.35
3x > 8.35 - 18.75
3x > -10.4
x > -3.47
Can y’all plz help me
Explain yo answer for brainliest
Answer:
A
Step-by-step explanation:
Answer:
C)
Step-by-step explanation:
The pythagorean theorem says that a^2 + b^2 = c^2
In this case:
a^2 = x
b^2 = y
c^2 = z
That means x + y = z, which is C
Simplify 2.19g + 0.59b + 1.49p
Answer: it can't be simplified,,, the variables are all different
Step-by-step explanation:
Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 + 3) 30 + 45 = 5(6) + 15(3) 30 + 45 = 5(6)(3)
Answer: 30 + 45 = 15(2 + 3)
Step-by-step explanation:
The greatest common factor for 30 and 45 will be gotten as follows:
Factor of 30 = 2 × 3 × 5
Factor of 45 = 3 × 3 × 5.
GCF = 3× 5 = 15
Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:
30 + 45 = 15(2 + 3)
help me plz for 20 points
Answer:
i believe DEC is 70 degrees
Whoever fills the rest out I’ll love you forever!
Answer:i need to know what the image is.....
Step-by-step explanation:
What is X?
Please help!
Answer:
94
Step-by-step explanation:
the sum of the angles in a triangle add up to equal 180
180-73-13=94
Answer: X = 89°
Step-by-step explanation:
At first glance I could tell this was an isosceles triangle, the angles of an isosceles triangle add up to 180°. So just add 73° + 13° = 91° so then you subtract 91° from 180° and you get 89°.
Use the NET as an aid to compute the surface area.
Change 273° Kelvin to Celsius degrees.
P Leeeeeeeeeeee Sssssssssss help me
Answer: 273 degrees kelvin = -0.15 degrees celsius
hope this helps brainliest plz
Problem 3
The bill at dinner was $58.24 before tax and tip.
There is a 6% sales tax. After the tax, an 18% tip is
added.
What is the total including tax and tip?
Answer:
$62.bope this helpsjensbdnd
Which point best indicates the location of V45on the number line below?
A.Point A
B.Point B
C.Point C
D. Point D
help anyone I don’t understand
Answer:
D. 71
Step-by-step explanation:
Plug 7 into f
(7)^2 + 2(7) + 8
then solve
49 + 14 + 8
71
Which measure is of an angle that is coterminal with a 95° angle?
Answer:
95° - (1,080 n) °, for any integer n
Step-by-step explanation:
Co-terminal angle are those angles who share the same initial side and terminal sides,
And, these angles are obtained by adding or subtracting the multiple of 360°,
That is, if Ф is an angle,
Then its co-terminal angles are,
Ф + 360 n
Where, n is any integer (negative or positive)
Here, Ф = 95°,
Since, n is an integer,
⇒ - 3n is an integer,
Thus, the co-terminal angles of 95° are,
95° + 360° (-3n)
= 95° - (1080 n) °; for any integer n.
Step-by-step explanation:
Hope this helps!~
And I hope this is what you where looking for.
Good Luck!~
Answer:
B. 95° – (1,080n)°, for any integer n
Step-by-step explanation:
Correct on EDGE 2021!
Solve the equation: х -5 = (-13)
6
Answer:
-73
Step-by-step explanation:
6 x (-13) = -78
x - 5 = -78
x = -78 + 5
x = -73
what is the additive inverse of 3x - 6
Answer:
-18
Step-by-step explanation:
percent as a decimal or fraction. 54% of 85
Answer: 45.9
Step-by-step explanation: its right trust
Answer:
45 9/10 0r 45.9
Step-by-step explanation:
0.54 * 85
45.9
45 9/10
Potatoes are on sale at both grocery mart and Baldwin hill market and grocery mart a 5lbs bag cost 2.85 and Baldwin they a 7lbs bag cost 4.20
Answer
The first one
Step-by-step explanation:
I think you want to know which store is better so it is
