Step-by-step explanation:
5(4× - 2)
5x4=20
5×2=10
Answer = 20x - 10
Answer:
20x-10
Step-by-step explanation:
Simply multiply.
5 × 4X = 20X
5× -2 = -10
Combine both
20X - 10
Help ASAP math homework no spam links or i will report
Answer:
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Step-by-step explanation:
4x + y = 22
y = x - 3
4x + y + y = 22 + x - 3
4x + 2y = 19 + x
4x - x + 2y = 19 + x - x
3x + 2y ÷ 3 = 19 ÷ 3
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Answer:
a)Let's solve for x.
4x+y=22
Step 1: Add -y to both sides.
4x+y+−y=22+−y
4x=−y+22
Step 2: Divide both sides by 4.
4x
4
=
−y+22
4
x=
−1
4
y+
11
2
a)y=x−3
b)y=
−1
2
x+6
b)x=y-12
The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 4, negative 2 What is the value of k?
Answer:
k = -2
Step-by-step explanation:
f(x) = (x − h)² + k
(h, k) is the (x, y) coordinate of the vertex
For a vertex of (4, -2)
h = 4
k = -2
which choices are equivalent to the expression below? check all that apply. rad -9 A.3i B.-3 C.irad-9 D.-rad9
Given:
Consider the expression is:
[tex]\sqrt{-9}[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]\sqrt{-9}[/tex]
It can be written as:
[tex]\sqrt{-9}=\sqrt{-1\times 9}[/tex]
[tex]\sqrt{-9}=\sqrt{-1}\times \sqrt{9}[/tex]
[tex]\sqrt{-9}=i\times 3[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-9}=3i[/tex]
The expression [tex]3i[/tex] is equivalent to the given expression.
Therefore, the correct option is A.
3 · 32 + 8 ÷ 2 − (4 + 3)
A.
30
B.
23
C.
24
D.
32
Answer:
3.32+8÷2-(4+3)
=3.32+8÷2-7
=3.32+4-7
=7.32-7
=0.32
this is the correct answer but unfortunately it's not in the options, maybe you need to check the options again :)
find the value of Y
.....
Answer:
[tex] y = 6 \sqrt{3} \: units[/tex]
Step-by-step explanation:
In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.
By geometric mean theorem:
Length of the perpendicular
[tex] =\sqrt{9\times 3}[/tex]
[tex] =\sqrt{27}\: units [/tex]
Next, by Pythagoras theorem:
[tex] {y}^{2} = {9}^{2} + {( \sqrt{27} )}^{2} \\ \\ {y}^{2} = 81 + 27 \\ \\ {y}^{2} = 108 \\ \\ y = \sqrt{108} \\ \\ y = \sqrt{36 \times 3} \\ \\ y = \sqrt{ {6}^{2} \times 3} \\ \\ y = 6 \sqrt{3} \: units[/tex]
Two toy rockets are launched straight up into the air. The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations shown. Write an equation to find the "difference" in height of Rocket A and Rocket B. Rocket A: -15t^2 + 100t and Rocket B: -14t^2 + 85t+3.
Given:
The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations:
Rocket A: [tex]-15t^2+100t[/tex]
Rocket B: [tex]-14t^2+85t+3[/tex]
To find:
The equation to find the "difference" in height of Rocket A and Rocket B.
Solution:
The difference in height of Rocket A and Rocket B is:
Difference = Height of Rocket A - Height of Rocket B
[tex]\text{Difference}=(-15t^2+100t)-(-14t^2+85t+3)[/tex]
[tex]\text{Difference}=-15t^2+100t+14t^2-85t-3[/tex]
[tex]\text{Difference}=(-15t^2+14t^2)+(100t-85t)-3[/tex]
[tex]\text{Difference}=-t^2+15t-3[/tex]
Therefore, the difference in height of Rocket A and Rocket B is [tex]-t^2+15t-3[/tex].
In the diagram of right triangle ABC, AB = 4 and BC = 7.
What is AC, to the nearest hundredth?
1
5.74
2
5.75
3
8.06
8.08
Answer:
5.74
Step-by-step explanation:
The value of AC in the given right triangle is 5.74 units.
What is Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².
Given that, the right triangle ABC, AB = 4 and BC = 7.
According to Pythagoras theorem,
AC² = AB²+BC²
AC² = 7²+4²
AC = √33 = 5.74
Hence, The value of AC in the given right triangle is 5.74 units.
For more references on Pythagoras theorem, click;
https://brainly.com/question/343682
#SPJ2
Given that XYZ ~ JKL answer the following:
what is the ratio of similarity (scale factor)
SOLVE for the length of YZ:
SOLVE for the length of JL:
Answer:
scale factor is 3/2
YZ=15
JL=12
Step-by-step explanation:
JK=XY
ZY=LK
XZ=JL
15/10=3/2 (scale factor)
3/2=x/10
now cross multiply
30/2=2x/2
15=x or YZ
3/2=18/y
cross multiply
3y/3=36/3
JL or y=12
please help! 10 points, thank you
Answer:
261.5 ft^2
Step-by-step explanation:
Surface Area of a rectangular prism = Length x Width x Height
= 8.5ft x 6ft x 5.5ft
= 261.5 ft
Elisa decided to take a vacation. The distance she plans to travel each day will form a geometric sequence
I need to show my work but I don’t know how to do these can someone help me??
Find the L.CM of 36,60,126
Answer:
1260
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
2 x 2 x 3 x 3 x 5 x 13
= 2340
................
write the standard form of the equation of a circle with a radius of 1 and a center of (-7,1)
Answer:
(x + 7)² + (y - 1)² = 1
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 7, 1) and r = 1 , then
(x - (- 7) )² + (y - 1)² = 1² , that is
(x + 7)² + (y - 1)² = 1
Find the area of the similar figure.
Will vote brainliest for correct answer!
Answer:
60 cm^2
Step-by-step explanation:
let are of big figure be x .
area of small figure / area of big figure = 15 / 18
50/x = 15/18
do cross multiplication
x*15 = 18*50
x = 900/15
x = 60 cm^2
ASAP brainliest if right
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
Answer:
option A
Step-by-step explanation:
y = k . f( x )
• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.
• if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
• if k < 0, the vertical stretch or shrink is followed by a reflection across the x-axis.
Given g(x ) = - |x |
= -1 × f(x)
k < 0 , therefore the graph g (x) is a vertical shrink ( or compression ) of graph f
A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?
Answer:
4*4=16+7=23
Step-by-step explanation:
4 inches x 4 weeks is 16 inches
7 + 16 = 23
Y-intercept = 5
Slope = 3
Answer:
the equation as intercept form is
y = 3x + 5
Kalon has $175 and needs to save atleast $700 for a computer.if he can save $35 per week, what is the minimum number for of weeks kalon will need to reach his goal
Answer:
15 weeks
Step-by-step explanation:
First, calculate the total that is needing to be saved not including the money she already has.
So 700 minus 175 is 525.
Next, to find the number of weeks, divide 525 by 35 which gives you 15 even.
So if Kalon continues to save $35 a week, it will take him 15 weeks to reach his goal of $700.
The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Answer: [tex]\dfrac{6}{26}[/tex]
Step-by-step explanation:
Given
Denominator is 4 more than twice its numerator
Suppose the numerator is x. So, it follows above condition, fraction becomes
[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]
If both numerator and denominator are reduced by 6, they become equal
[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]
The fraction is
[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]
10.3% of 853.93km rounded to 2 dp
Answer:
87.95479
Step-by-step explanation:
10.3% of 853.93 km
Expand 10.3÷100 by multiplying both numerator and denominator by 10.
[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]
[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]
convert decimal number 853.93 to fraction 85394÷100
[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]
Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.
[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]
Do the multiplication in the fraction
[tex]\small \sf \frac{8795479}{100000} \\ [/tex]
Divide we get
87.95479
Another way to solve it
10.3% 853.93
we know that ; % = whole no. ÷ 100
then,
10.3 ÷ 100 × 853.93
Divide the numbers
0.103 × 853.93
multiply the numbers
87.95479
Point P is outside a circle with center O and is 10 cm from the center. The circle has a radius of 5 cm. Lines PA and PB are two different lines tangent to the circle at points A and B.
Find the measure of angle PAO. Round to the nearest whole degree
Find the measure of angle APO. Round to the nearest whole degree
Find the measure of angle AOB. Round to the nearest whole degree
Find PB rounded to the nearest tenth.
9514 1404 393
Answer:
∠PAO = 90°∠APO = 30°∠AOB = 120°PB ≈ 8.7Step-by-step explanation:
A tangent makes a right angle with the radius to the point of tangency. Hence ∠PAO is 90°. The ratio of the short side (OA) of the right triangle OAP to the hypotenuse (OP) is 5 : 10 = 1 : 2. These are the ratios found in a 30°-60°-90° triangle, so we know that ∠APO = 30°.
OP is a bisector of angle APB, so that angle is 60°. Angle AOB is the supplement to angle APB, so ∠AOB = 120°.
__
As we said above, triangle OAP is a 30°-60°-90° triangle, so its side lengths have the ratios 1 : √3 : 2. This means PA = PB = 5√3 ≈ 8.7.
Need help quick and fast!
Find the surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
62.8
Step-by-step explanation:
The formula of finding the volume of a cylinder v= pi*r^2*h
So substitute the values:
r is 2, and h is 5
v=pi*2^2*5
Then solve the equation:
v=pi*4*5
v=pi*20
v=62.8 (I multiplied 20 by 3.14, or pi)
So the answer is 62.8
The population of rabbits on an island is growing exponentially. In the year 1998, the population of rabbits was 9400, and by 2006 the population had grown to 32000. Predict the population of rabbits in the year 2011, to the nearest whole number.
Answer: 68,819 rabbits
Step-by-step explanation:
First find the annual rate of growth that took the number of rabbits from 9,400 in 1998 to 32,000 in 2006.
Use the future value formula:
Number of years = 2006 - 1998 = 8 years
Future value formula:
Future value = Current value * ( 1 + rate) ^ number of years
Assume 2006 is the future and 1998 is present.
32,000 = 9,400 * (1 + r) ⁸
32,000 / 9,400 = (1 + r)⁸
(1 + r)⁸ = 3.404255319
1 + r = ⁸√3.404255319
r = ⁸√3.404255319 - 1
r = 16.55%
Use that rate to find the number of rabbits in 2011:
= Current value * (1 + rate) ^ number of years
Number of years = 2011 - 2006 = 5 years
= 32,000 * ( 1 + 16.55%)⁵
= 68,819 rabbits
complete the following proof by filling in the missing parts. NO LINKS
Answer:
below
Step-by-step explanation:
a.. it divides the triangle into two equal parts
b.. it is an isosceles triangle
c.. the base line of a mid point are equal
d.
g. two angles are equal in isosceles triangle
Kyle has two snakes fluffy is 2 meters long. Muffy is 900 millimeters long. Compare their lengths to fill in the blanks.
Answer:
Fluffy is longer than Muffy
Step-by-step explanation:
There are 1000 millimeters in a meter
Fluffy = 2000 millimeters
Muffy = 900 millimeters
Fluffy is longer than Muffy
2000 > 900
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Fluffy is longer than Muffy
There are 1000 millimeters in a meter
There are 1000 millimeters in a meterFluffy = 2000 millimeters
There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimeters
There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy
There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy2000 > 900
4 16. Deborah's garden has a length of 8 - feet and a width of 5 feet. What is the area of her garden? 4
Answer:
20
Step-by-step explanation:
L times W
length times width
so 5 x 4 = 20
What is the value of x in the equation ?
Answer: x=2
Step-by-step explanation:
15x-10=10 + 6+ 2x
15x-2x=20+6
13x=26
X=2
Answer:
x = 2
Step-by-step explanation:
2.5(6x - 4) = 10 + 4(1.5 + 0.5x)
Distribute the 2.5
15x - 10 = 10 + 4(1.5 + 0.5x)
Distribute the 4
15x - 10 = 10 + 6 + 2x
Combine like terms
15x - 10 = 16 + 2x
Add 10 to both sides
15x = 26 + 2x
Subtract 2x from both sides
13x = 26
Divide both sides by 13x
x = 2
Solve: x/2 = -10
the / means divided
Answer:
x=-20
Step-by-step explanation:
x=-10•2
• means multipled
Identify an expression that is equivalent to 0.3(12y). HELP PLEASEEE
Answer:4.5y
Step-by-step explanation: you have to multiply 15 times 0.3 and u get 4.5y