Answer: 630 = 15x + 18y
Step-by-step explanation:
How many solutions are there to this equation?
4(x-5)=3x+7
A. 1
B. infinitely many
C. 0
Answer:
1
Step-by-step explanation:
4x-20=3x+7
x=27
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
x=[tex]\sqrt{220}[/tex]
Step-by-step explanation:
Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.
We know that
a²+b²=c²
Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).
In this case,
x=a
b=6
c=16
So to plug these into the equation, we get:
x²+6²=16²
To isolate x,
we get:
x²=16²-6²
x=[tex]\sqrt{16^2-6^2}[/tex]
[tex]x=\sqrt[]{220}[/tex]
_________
[tex] \: [/tex]
x² = 16² - 6²
x² = 256 - 36
x² = 220
x = √220
x ≈ 14.9cm
Solve this one following the linear equations beow agebricaly.Express your answer in simplest form.3(6x-4)=24
solve for X : 3x²=5x
⇒ 3x² - 5x = 0
⇒ (3x - 5) · x = 0
3x - 5 = 0
x = 0
x = 0, 5/3
2×[3+2×(10-3)]=
Pa helppppp
Step-by-step explanation:
2 × [3 + 2 × (10 - 3)] =
2 × (3 + 2 × 7) =
2 × (3 + 14) =
2 × 17 = 34
Answer:
34
Step-by-step explanation:
2 × [3 +2 × (10 - 3)]=
2 × (3 + 2 × 7)=
2 × ( 3 + 14)=
2 × 17=
34.
Write the quadratic equation the has the roots (-1-√2)/3 and (-1+√2)/3 if its coefficient with x^2 is equal to...1
Step-by-step explanation:
x1+x2 = (-1-√2)/3 + (-1+√2)/3
= -2/3
(x1) (x2) = (-1-√2)/3 × (-1+√2)/3
= -1/9
the equation :
x² -(-2/3)x + (-1/9) = 0
x² + ⅔ x - 1/9 = 0
Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fastest and correct wins brainliest
please help me to solve problems
Step-by-step explanation:
4a)
the principle of similar triangles : they have the same angles.
and we do not forget : the sum of all angles in a triangle is always 180 degrees.
a = 180 - 65 - 45 = 70 degrees
b = 65 degrees
c = 70 degrees
b)
same principles.
x = 58 degrees
y = 52 degrees
z = 180 - 58 - 52 = 70 degrees
c)
same principles.
plus the fact that complementary angles around a point on one side of a line are also together 180 degrees.
x = 85 degrees
y = 180 - 40 - 85 = 55 degrees
z = 180 - 85 = 95 degrees
d)
again same principles.
y = 2x (as these 2 angles correspond to each other among the 2 similar triangles).
the angle POQ is again complementary with 87 degrees,
POQ = 180 - 87 = 93 degrees
x + y + 93 = x + 2x + 93 = 180
3x = 87
x = 29 degrees
y = 2x = 2×29 = 58 degrees
HELP ME PLEASE PLEASE PLEASE
Answer:
#1) 3 different roots, total 6#2) 3 different roots, total 9#3) 3 different roots, total 4Step-by-step explanation:
#1The roots are:
x - 3 = 0 ⇒ x = 3, multiplicity 2x + 1 = 0 ⇒ x = -1, multiplicity 32x + 5 = 0 ⇒ x = -2.5#2The roots are:
x = 0, multiplicity 3x + 2 = 0 ⇒ x = -2x - 4 = 0 ⇒ x = 4, multiplicity 5#3The roots are:
x² - 1 = 0 ⇒ (x + 1)(x - 1) = 0 ⇒ x = -1, x = 1x² + 4x + 4 = 0 ⇒ (x + 2)² = 0 ⇒ x + 2 = 0 ⇒ x = -1, multiplicity 2Find the slope of (2 , -7 ) and ( -1 , 6 )
A. 4
B. -6
C. -1/6
D. 6
Answer:
-13/3
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - (-7) / -1 - 2
13 / -3
= -13/3
Hello !
Answer:
[tex] \boxed{\sf None \: of \: the \: options \text{:} \: \: m =- \dfrac{13}{3}} [/tex]
Step-by-step explanation:
The slope m of a line passing through two points can be calculated using the following formula:
[tex] \sf m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] \\ [/tex]
Let (x₁ , y₁) = (2 , -7)
Let (x₂ , y₂) = (-1 , 6)
Substitute these values into our formula:
[tex] \sf m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6 - (-7) }{-1 - 2 } = \dfrac{13}{-3}\\ \\ \implies \boxed{\sf m = -\dfrac{13}{3}} [/tex]
Have a nice day ;)
HELP ASAP PLEASE I BEG TOU
Answer:
The graph below
Step-by-step explanation:
Start at -2 on the y-axis and go up 1/2 every space you go on the x-axis
Hope this Helps
What number is subtracted from 2.2 which gives you 0.8765
Answer:
1.3235
Step-by-step explanation:
If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.
To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.
The length of PR to the nearest foot is 198.94 feet
Find the diagram attached
From the diagram, the triangle PRE and POC are similar triangles.
Let PR = x
Based on similarity theorem;
PR/RE = PR+RO/OC
x/135 = (x+140)/230
Cross multiply
230x = 135(x+ 140)
230x = 135x + 18,900
230x - 135x = 18,900
95x = 18900
x =18900/95
x = 198.94
Hence the length of PR to the nearest foot is 198.94 feet
Learn more here: https://brainly.com/question/19892143
It is 12:49 what time it will be 30 minutes from now
Answer:
01:19 PM
Step-by-step explanation:
if its 12:49 then in 30 minutes it'll be 1:19pm
because
in 11 minutes I'll be 1pm and then 30-11= 19
so
1pm + 19 mins = 1:19pm
Hope this helped you- have a good day bro cya)
Answer:
1:19 pm
Hope you have an amazing day!
The angles in a quadrilateral are 103.8° , 77° , 111.4° and p°. Calculate the value of p.
Answer: 67.8°
Step-by-step explanation:
A quadrilateral's interior angles always add up to 360°.
An equality statement can be set up to satisfy this rule:
103.8+77+111.4+p=360
Collect known values
292.2+p=360
Isolate and solve for p
292.2 (-292.2) +p=360 (-292.2)
p=67.8
Answer:
68.6
Step-by-step explanation:
hello sir / mam!
as the opposite sides of quadrilateral should be 180°
111.4+p=180°
p=180-111.4
p=68.6°
therefore the value of p = 68.6°
hope it helps!
ill give brainlest pls
Answer:
$5.00
Step-by-step explanation:
Answer:
5.00
Step-by-step explanation: this question was already answered but i need the points :p
someone help it’s about gradients etc check photo please!! (The coordinates of K and L are (-8, -5)
Answer:
[tex]i) \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] = \frac{y {}^{1} - y {}^{2} }{x {}^{1} - x {}^{ {}^{2} } } [/tex]
[tex] = \frac{ - 5 - ( - 1)}{ - 8 - ( - 2) } [/tex]
[tex] = \frac{ - 4}{ - 6} [/tex]
[tex] = \frac{2}{3} [/tex]
The height of a cylinder is 4 millimeters.The circumference of its base is 10 pi mm
[tex]\\ \sf\longmapsto C=10\pi mm[/tex]
[tex]\\ \sf\longmapsto 2\pi r=10\pi mm[/tex]
[tex]\\ \sf\longmapsto 2r=10[/tex]
[tex]\\ \sf\longmapsto r=5mm[/tex]
h=4mm[tex]\\ \sf\longmapsto Volume=V=\pi r^2h[/tex]
[tex]\\ \sf\longmapsto V=\pi (5)^2(4)[/tex]
[tex]\\ \sf\longmapsto V=\pi 25(4)[/tex]
[tex]\\ \sf\longmapsto V=100\pi mm^3[/tex]
volume is 100pi mm³.
What is volume?In mathematics, volume is the space taken by an object.
Here, given that,
The height of a cylinder is 4 millimeters.=h
The circumference of its base is 10 pi mm=2r*pi
So, we get,
r=5
Volume =pi*r²*h
=100pi mm³
Hence volume is 100pi mm³.
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#SPJ2
Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes.
How many minutes will it take Josiah to skateboard to his friend Sebastian’s house, which is 2 1/2
miles from school, if he travels at the same rate that he did from his house to school?
In the box below, type the number that goes in the blank.
Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.
Calculating Josiah's speed :
Speed = (distance ÷ time)Speed = (3 ÷ 36) = 0.08333 miles per minute.
Time taken to cover a distance of 2.5 miles :
Time taken = (Distance ÷ Speed)Time taken = (2.5 ÷ 0.08333) = 30 minutes
Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles
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Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20
Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8
The smaller triangle can be expressed as :
Side / base = 6/x ----(1)The larger triangle can be expressed as :
Side / base Side = 6+9 = 15 15/20 - - - - - (2)Equating (1) and (2) :
6/x = 15 / 20
15x = 20 × 6
15x = 120
x = 120 / 15
x = 8
Therefore, the value of x in the triangle is 8.
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1. (3n+2)(n+3)
this is multiplying binomial by a binomial
Using the distributive property with FOIL:
(3n + 2) ( n + 3)
3n² + 9n + 2n + 6
3n² + 11n + 6
A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?
The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
Answer:
ME TOO
Step-by-step explanation:
Function transformation involves changing the position of a function.
The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
The functions are given as:
[tex]\mathbf{f(x) = x}[/tex]
[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]
Substitute x for f(x) in g(x)
[tex]\mathbf{g(x) = -5x + 2}[/tex]
The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.
The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.
Hence, the correct option is (d)
Read more about function transformations at:
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A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are 80 tons left at the scrapyard, how many days have passed?
Please explain fully.
Answer:
8 days
Step-by-step explanation:
200-80= 120
120 ÷ 15 = 8 days
Answer:
SAME AS WHAT HE SAYS
Step-by-step explanation:
a video store is selling previously owned dvds for 40% off the regular price of $15. what is the sale price of the dvds.
Answer:
$9
Step-by-step explanation:
A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?
40% = 0.4
15 * 0.4 = $6 (Discount)
15 - 6 = $9 (Sale Price)
Therefore the Answer is: $9
9000 dollars is placed in an account with an interest rate of 8%. How much will be in the account after 17 years, to the nearest cent?
Answer:
$21,240
Step-by-step explanation:
8 percent *9000 =
(8:100)*9000 =
(8*9000):100 =
72000:100 = $720 per years of interest
720* 17
= 12,240
12,240+9,000
= 21,240
2(x + 4) – 3(x – 6) + 5(x + 1) Simplified completely.
Answer:
4x+31
Step-by-step explanation:
2(x + 4) – 3(x – 6) + 5(x + 1)
Distribute
2x+8 -3x+18 +5x +5
Combine like terms
2x-3x+5x +8+18+5
4x+31
what is the slope of a line parallel to the line whose equation is 2x + y = 3?
Step-by-step explanation:
Here is the answer to the question
Answer:
-2/1
Step-by-step explanation:
Rewrite equation in point-slope form
y=-2x+3
in y=mx+b, m= the slope
The slope of the line is -2/1
Any lines parallel to this line will have the same slope
Which shape is simulator shape one
Answer:
B
Step-by-step explanation:
help asap plz with my math hw, i will give you thanks and 5stars
Answer:
it would be 15 or 14 that only came up when I did it
Step-by-step explanation:
Rationalize the denominator.
– 5x4
✓4x +7
The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.
We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted (√x × √x = x).
- 5x⁴ × √(4x + 7) = (-5x⁴)(√(4x + 7))
√(4x + 7) √(4x + 7) 4x + 7