answer
4
2
Step-by-step explanation:
4x+3y=19
4x=19-3y
4x=16
x=16/4
x=4
2x+5y=20
5y=20/2x
5y= 10
y=10/5
y=2
. If R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5} is a relation. Then find the domain and range of R1.
Answer:
Domain is [-5, 5]
Range is [-3, 17]
Step-by-step explanation:
R1 = {(x, y)| y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5}
The domain is given by the all possible input values of x . Here the function is defined for -5 ≤ x ≤ 5, so the domain is [ - 5, 5].
The range is given by the output values of he function.
When x = - 5
f (- 5) = 2 (-5 ) + 7 = - 3
When x = 5
f (5) = 2 (5) + 7 = 17
So, the range is [ -3 , 17].
In the figure below, AE | BD. What is the value of x?
Answer:
The value of x=3
Step-by-step explanation:
We are given that
AE is parallel to BD.
BC=12 units
CD=16 units
DE=4 units
AB=x
We have to find the value of x.
Triangle proportionality theorem:
When a line is parallel to one side of a triangle and intersect the other two sides of triangle, then the line divides the sides proportionally.
Using triangle proportionality theorem
[tex]\frac{BC}{AB}=\frac{CD}{DE}[/tex]
[tex]\frac{12}{x}=\frac{16}{4}[/tex]
[tex]x=\frac{12\times 4}{16}[/tex]
[tex]x=3[/tex]units
Hence, the value of x=3
Can someone help with this please & thank you It’s due tomorrow
Answer:
[11] x = 3
[12] x = 37
[13] x = 1.2
[14] x = 62
PLEASE HELP ILL GIVE BRAINLIEST
If t< sand s< r what is the relationship between the values tand /?
Answer:
If you are talking about inequalities, t < r.
Step-by-step explanation:
Since s is bigger than t and r is bigger than s,
r should be bigger than t obviously.
four tens + four nines
Answer:
[tex]76[/tex]
Step-by-step explanation:
Write the question in equation form
[tex]4(10)+4(9)[/tex]
Multiply
[tex]40+36[/tex]
Add
[tex]76[/tex]
Using Euler's formula, how
many edges does a polyhedron
with 5 faces and 5 vertices have?
[?] edges
Euler's Formula: F + V = E + 2
Answer:
8 edges
Step-by-step explanation:
Form the formula F+V=E+2
U make E the subject by moving everything thing else to the left hand side
F+V-2=E
this implies 5+5-2=E
10-2=E
therefore Edges = 8
The polyhedron with 5 faces and 5 vertices has 8 edges.
To determine the number of edges in a polyhedron with 5 faces and 5 vertices using Euler's formula (F + V = E + 2).
we need to substitute the given values into the equation.
Given:
Number of faces (F) = 5
Number of vertices (V) = 5
Substituting these values into Euler's formula, we have:
5 + 5 = E + 2
Simplifying the equation:
10 = E + 2
Subtracting 2 from both sides:
E = 10 - 2
E = 8
Therefore, the polyhedron with 5 faces and 5 vertices has 8 edges.
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Squares of Binomials
Please Help
Please hurry I will mark you brainliest
Answer:
D. -1/7
Step-by-step explanation:
Substitute and solve
Answer:
[tex]-\frac{1}{7}[/tex]
Step-by-step explanation:
When given the following expression,
[tex]\frac{a+c}{a^2-c^2}[/tex]
With the information that the values (a = -2) and (c = 5), one is asked to evaluate the expression. One's first instinct is probably to substitute the values into the expression and solve, however, a faster approach is to simplify the expression. The denominator is the difference of squares, thus one can rewrite it as the product of two linear expressions. Then one can simplify it by canceling out like terms in the denominator and the numerator. Finally, one can then substitute the values of the (a) and (c) into the simplified expression and solve.
[tex]\frac{a+c}{a^2-c^2}[/tex]
[tex]=\frac{a+c}{(a+c)(a-c)}[/tex]
Cross out like terms in the numerator and denominator,
[tex]=\frac{a+c}{(a+c)(a-c)}[/tex]
[tex]=\frac{1}{a-c}[/tex]
Now substitute the values of (a) and (c) into the expression and simplify to evaluate,
[tex]=\frac{1}{a-c}[/tex]
[tex]=\frac{1}{(-2)-(5)}\\\\=\frac{1}{-2-5}\\\\=-\frac{1}{7}[/tex]
20 POINTS
Find the volume of the prism.
Answer:
v=1/2(13.1+25.4)(17)(15)
v=1/2(38.5)(255)
v=4,908.7 ft³
OAmalOHopeO
HELPPP SOMEONE PLEASSSSE
Answer:
c. -x -y = 5
Step-by-step explanation:
parallel means same x
A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?
Answer:
626
Step-by-step explanation:
So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger
2p -5q=8.. 3p-7q=11 use substitution
Answer:
p = -1 q = -2
Step-by-step explanation:
3p - 7q = 11 -7q = -3p + 11 q = 3/7p - 11/7
2p - 5(3/7p - 11/7) = 8
2p - 15/7p + 55/7 = 8
-1/7p + 55/7 = 8
-1/7p = 1/7
p = -1
2(-1) - 5q = 8
-2 - 5q = 8
-5q = 10
q = -2
From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees. How far is the ship from the base of the lighthouse?
Answer:
84.89 feets
Step-by-step explanation:
The solution triangle attached below :
The distance between base of lighthouse and ship, d, can be calculated using trigonometric relation :
Tan θ = opposite / Adjacent
Tan 23 = d / 200
d = 200 * tan23°
d = 84.89 feets
(-9g5+ 9) + (4g5- 5)
Define Rise over Run and Define Slope.
Please help me I need it asap!
Answer:
Rise= y-axis
Run=x-axis
Slope=rate of change
Step-by-step explanation:
Think of run as you are running on the ground. The x-axis is positioned to look like you would be able to run on a flat horizontal line. When it is referring to run, it means the y-axis because when you run you go up in a way, just like the y-axis. Rise and Run is a phrase used to represent slope because it is indicating that to calculate slope, you take your "y" value over your "x" value as in a fraction. For example [tex]\frac{y}{x}[/tex]. Slope is just how fast a certain unit is changing at a consistent "speed".
A pair of earbuds cost 43$. They are on sale for 20% off. What is the discount and the final price of the earbuds
Answer:
the discount of the earbuds is $8.60
the final price is $34.40
Step-by-step explanation:
1. find 20% of 43:
43 x 0.2 = 8.60
2. subtract that from $43:
$43 - 8.60 = $34.40
the discount of the earbuds is $8.60
the final price is $34.40
It take 4 people 40 minutes to clean a garden. How long will it take 6 people to clean the same garden
Answer:
4/9 of an hour (26.666 minutes)
Step-by-step explanation:
4 * x * 40/60 = 1
x * 160/60 = 1
x=60/160 = 6/16 = 3/8 (this is the rate for one worker)
~~~~~~~~~~~~~~~~
6 * (3/8) * x = 1
x = 4/9
Please help. I’m lost with this.
Answer:
35 miles
Step-by-step explanation:
You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.
someone help me please with this algebra problem
Answer:
4
Step-by-step explanation:
3r = 10 + 5s
r = 10
3(10) = 10 + 5s
30 = 10 + 5r
20 = 5r
r = 4
A nursery sells English, tea, and miniature rosebushes in red, pink, yellow, and white. How many
different types of rosebushes could you buy?
is this year 3 math? Its 4
In the picture shown below, what proportion would NOT give the correct value of x?
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of [tex]x[/tex] that is,
[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]
Option (c) does not give the correct value of [tex]x[/tex]
Answer:
C
Step-by-step explanation:
In the given figure, two triangles are similar namely and
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of that is,
Option (c) does not give the correct value of
In a group of 36 pupils, 10 play the flute only. 15 play the piano only. 4 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
9
Step-by-step explanation:
First you would need to subtract all the irrelevant students.
So, subtract 4 from 36, which is 34.
34 - (10 + 15) =
34 - 25 =
9
The answer is 9 pupils.
you have $9 and earn $0.50 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice
Answer:
Hello there ,
The answer to this equation would be:
A=.50j+9
Step-by-step explanation:
this answer should be correct because he started with 9,
and he is selling each cup (j) for 0.50
Let me show you an example:
Ok lets say he sold 10 (j) cups:
you would replace the (j) with the 10
A=0.50(10)+6
A=5+6
A=11 and he would have $11
but that just an example so the real answer to your question is:
A=.50j+9
Hope this help. If correct please give brainliest.
Thank you,
Have a good day !!!!!
Two adjacent angles of a paralle
logram are congruent. What is the measure of
each?
Answer:
[tex]90^{\circ}[/tex]. In other words, these two angles are both right angles, and this parallelogram would be a rectangle.
Step-by-step explanation:
Two angles that congruent have the same size.
At the same time, those two adjacent angles of this parallelogram would be a pair of consecutive interior angles. Because the two sides of a parallelogram are parallel to one another, the sum of these two consecutive interior angles would be [tex]180^{\circ}[/tex]- they are supplementary to one another.
Let the two angles be [tex]\angle1[/tex] and [tex]\angle 2[/tex].
[tex]\angle 1 = \angle 2[/tex] because the two angles are congruent.
[tex]\angle 1 + \angle 2 = 180^{\circ}[/tex] because these two angles are adjacent angles of a parallelogram.
Hence, [tex]\displaystyle \angle 1 = \angle 2 = \frac{1}{2} \times 180{^\circ} = 90^{\circ}[/tex].
What degree of rotation about the origin will cause the triangle below to map
onto itself?
A.90
B.270
C.360
D.180
find the x-intercept and y-intercept from the following linear equation: -7x+4y=56
Answer:
x-intercept = (-8,0) y-intercept = (0,14)
Step-by-step explanation:
-7x + 4y = 56
4y = 7x + 56
y = 7/4x + 14
y-intercept = 14
0 = 7/4x + 14
-7/4x = 14
x = -8
The sum of 9 and a number is less than 12. Which of the following
inequalities expresses the solution?
Answer:
9+x<12
Step-by-step explanation:
add 9 to an unknown number.
9+x
use the < less than symbol (instead of an equal sign) and write 12.
Answer:
x + 9 < 12
Step-by-step explanation:
Let the unknown number = x
Sum of 9 and x : x + 9
x + 9 < 12
find the value of 5 + 8 / 4 * 3
Answer:
44
Step-by-step explanation:
5+8/4*3
5+24/4
20+24
44
What is the common ratio of the geometric sequence 6,4,8/3,16/9,...
r = 2
r = 2/3
r = -2
r = 3/2
The common ratio of the geometric sequence is: B. r = 2/3.
How to Find the Common Ratio of a Geometric Sequence?The common ratio of a geometric sequence is determined by taking the last term and divide by the preceding term.
Given the geometric sequence, 6,4,8/3,16/9,..., the common ratio is calculated as follows:
16/9 ÷ 8/3 = 16/9 × 3/8 = 2/3 × 1/1 = 2/3
Or
8/3 ÷ 4 = 8/3 × 1/4 = 2/3
Or
4/6 = 2/3
Therefore, the common ratio of the geometric sequence is: B. r = 2/3.
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Find the lowest common multiple of 180 and 140.
Hello,
In prime decomposition:
180=2²*3²*5
140=2²*5*7
lcm(180,140)=2²*3²*5*7=1260
Proof: 1260/180=7 and 1260/140=9