Answer:
6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2
Step-by-step explanation:
I just know.
Answer:
Step-by-step explanation:
5x – 4y = -10
y = 2 x – 5
Rearrage the equation:
5x – 4y = -10 (1)
-2 x +y = 5. (2)
pluging variable y equation2 in 1
5x - 4•(2x-5) = -10
-3x = -30
Solve equation [1] for the variable x
3x = 30
x = 10
x = 10
y = 2x-5
Use the x value to solve for y
y = 2(10)-5 = 15
x= 10
y= 15
using the diagram below, what is the measure of ∠E?
Step-by-step explanation:
angle e = 50 degree,,,,,,,
Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation. What is the distance between the national parks?
Arc AC is adjacent to arc CD. If arc AC measures 35 degrees and arc CD measures 45 degrees, what is the measure of arc AD according to the Arc Addition Postulate?
Answer:
80°Step-by-step explanation:
You just need to sum up the values according to arc addition postulate:
the measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcsm(arc AD) = m(arc AC) + m(arc CD)m(arc AD) = 35° + 45° = 80°Now we have to find,
The measure of arc AD according to the Arc Addition Postulate.
AD is the sum of the measures of the other two arcs. Then measure of AD is,
→ AC + CD
→ 35° + 45°
→ 80° (final answer)
Hence, the measure of arc AD is 80°.
Someone help me with this math homework please!
Answer:
Option number B
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
Given the equation as:
7h - 5 ( 3h -8 ) = -72
Using distributive property,
a ⋅ ( b + c ) = a ⋅ b + a ⋅ c
7h - 15h + 40 = - 72
Combine like terms;
-8h + 40 = -72
Subtract 40 from both sides we have;
-8h 8= -112
Divide both sides by -8 we have;
h = 14 hours
Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.
Find the value of y
Help please
Answer:
6
Step-by-step explanation:
Set your formula up as
15 = 2y+3
15 - 3 = 2y
12 = 2y
12 / 2 = y
6 = y
Find the sum of integers -72, 237, 84, 72, -184, -37
Answer:
100
Step-by-step explanation:
add positive numbers. then subtract the negative numbers.
What is the coefficient of x3 in the expansion of (2x−3)5?
Group of answer choices
a) -360
b) 720
c) 10
d) -5
e) -120
Answer:
B 720
Step-by-step explanation:
same process as the previous image I sent ya
Answer:
B) 720.
Step-by-step explanation:
We can use the Binomial Expansion Theorem:
[tex]\displaystyle (a+b)^n=\sum_{k=0}^{n}\binom{n}{k}a^kb^{n-k}[/tex]
We have the expression:
[tex]\displaystyle (2x-3)^5[/tex]
Therefore, a = 2x, b = -3, and n = 5.
We want to find the coefficient of x³. To get x³, we can cube a. Therefore, we can find our coefficient by letting k = 3. Hence:
[tex]\displaystyle \binom{5}{3}(2x)^3(-3)^{5-3}[/tex]
Evaluate:
[tex]\displaystyle =10(8x^3)(9)=720x^3[/tex]
Our answer is B.
find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:
Answer:
a = 4
b = -2
Step-by-step explanation:
If the given function is continuous at x = 1
[tex]\lim_{x \to 1^{-}} f(x)=(x+1)[/tex]
[tex]=2[/tex]
[tex]\lim_{x \to 1^{+}} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
[tex]\lim_{x \to 1} f(x)=ax+b[/tex]
[tex]=a+b[/tex]
And for the continuity of the function at x = 1,
[tex]\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)[/tex]
Therefore, (a + b) = 2 -------(1)
If the function 'f' is continuous at x = 2,
[tex]\lim_{x \to 2^{-}} f(x)=ax+b[/tex]
[tex]=2a+b[/tex]
[tex]\lim_{x \to 2^{+}} f(x)=3x[/tex]
[tex]=6[/tex]
[tex]\lim_{x \to 2} f(x)=3x[/tex]
[tex]=6[/tex]
Therefore, [tex]\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)[/tex]
2a + b = 6 -----(2)
Subtract equation (1) from (2),
(2a + b) - (a + b) = 6 - 2
a = 4
From equation (1),
4 + b = 2
b = -2
-4y=-20
Graph each line that represents each linear equation
Answer:
y = 5
Step-by-step explanation:
The given equation to us is
⇒ -4y = -20
⇒ y = -20/-4
⇒ y = 5
Therefore this line will pass 5 units away from y axis. For graph refer to the attachment .
More Information :-
The equation of x axis is y = 0 The equation of y axis is x = 0 .Find the HCF of:
3x and 6x.
Answer:
3x
Step-by-step explanation:
We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,
[tex]\implies Numbers = 3x \ and \ 6x [/tex]
Let's factorise the numbers , we get .
[tex]\implies 3x = 3 \times x [/tex]
[tex]\implies 6x = 3\times 2 \times x [/tex]
The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .
[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answer:
. JUST LOAD
Step-by-step explanation:
How to solve ,step by step
Answer:
gradient = slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]
Slope intercept Form equation : y = mx + b
m = slope or gradient
b = y - intercept ( where the line crosses the y = axis)
x and y = are place holders for a coordinate pair that makes the equation true
c) y = -6x + 8
The -6 is the m. It's the slope or gradient.
the + 8 is the b. It's the y- intercept.
d) y = 4
This is a horizontal line. It intercepts the y-axis at 4.
That means the 4 is the y-intercept.
There is no x. That means the slope is 0. The line rises 0 as it runs left to right.
e) y -4x= 0
equation needs to be is standard form y = mx + b.
add 4x to both sides in order to isolate the y variable.
y = 4x + 0.
The slope or gradient is 4. The y - intercept is 0. The line crosses through the origin.
f) y -x = -8
Add x to both sides.
y = x - 8
There is one x. That means the gradient is 1. The y-intercept is the -8
g) y + 3x = 7
Subtract 3x from both sides.
y = -3x + 7
-3 = gradient. 7 = y-intercept.
h) y + [tex]\frac{1}{2}[/tex]x = -4
Subtract [tex]\frac{1}{2}[/tex]x from each side.
y = -[tex]\frac{1}{2}[/tex]x - 4
One last thing. If you are presented with an equation without a y, the gradient is 'undefined'.
example : x = 4
This a vertical line passing through 4 on the x-axis. There is no 'b' because its not crossing the y-axis.
Why is it 'undefined' ?
As the line rises it, it does not 'run' left or right. [tex]\frac{rise}{0}[/tex] . Zero can never, ever be in the denominator. Denominators can't be zero. That is why we say it's 'undefined'.
Hope this helps.
A local charity earns money to donate to flood victims. It receives $200 per day in cash donations and $150 in pledges. Its operating costs are $75 per day. After how many days will the charity have enough money to make a donation of at least $1000?
Answer:
4 days at least
Step-by-step explanation:
.The endpoints of AB are A(1,4) and B(6,-1).
Answer:
5√2
Step-by-step explanation:
Finding distance :-
d = √{ ( 1 -6)² + (4+1)²}d = √{ -5² + 5² }d = √{ 25 + 25} d = √50 d = 5√2please I need answer right now ppleassssee
D. -1/4+-2/3
with explanation pleaseeee
Answer:
1 - 1/3
Step-by-step explanation:
Since 1/2 * 2/3 = 1/3, it should be the case that 1/3 divided by 2/3 gives 1/2 and that 1/3 divided by 1/2 gives 2/3. To divide fractions, we multiply the numerator by the reciprocal of the denominator, where the reciprocal of a number just interchanges the numerator and denominator of the number.
52.3 X 16.0 please help me thank you so much !
Answer:
836.8
Step-by-step explanation:
The length, breadth and height of an object are 20cm, 15cm and 25cm respectively. Its mass is 7kg. Find its volume and density. vers F. 1.1.3.4m ii. 65000g iii. 24.325 hrs iv. 7500m 00cm', 0.933g/cc st Work a brick and measure its length, breadth and height. alate its volume by using formula. Find its mass by using a balance. Calculate its density. Does it float or sink in the r? Why? Explain. ence & Environment Books
Answer:
the above answer help you.
Peter cycles for 1/4 hours at a speed of 20 km/h
and for another for 1/2 hour at 16 km/h. What is his
average speed?
Answer:
His average speed is
12 km/hr
.
Step-by-step explanation:
Remember the triangle of Speed, Distance and Time. If you remember it, you'll ace these kinda questions.
I had trouble with these formulas but the triangle helped me a LOT! Anyways, let's get back to the question. The formula for average speed is pretty much the same as the formula for just speed. The average speed formula is
Average speed
=
Total Distance
Total Time
So......
48 km
4 hr
=
12 km/hr
My source
I hope this explanation helps you!
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
What is the relationship between an angle of elevation and an angle of depression in a right triangle?
Answer: Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Answer:
Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles
Step-by-step explanation:
correct on EDGE2021
I need some help with this one. Please give it a go! Thank you for your time!
Answer:
A) [tex]3x^{2} - x - 4[/tex]
B) [tex]-3x^{2} -4x -5[/tex]
Step-by-step explanation:
Please help!! I don’t understand this.
Hey Help me out please, thanks!
Answer:
The first one: 0=-3x-5+x²
Step-by-step explanation:
You have to rearrange the equation to identify the coffecients on the quadratic.
Answer:
First one.
Step-by-step explanation:
Put in standard form. Highest exponent to lowest to constant.
[tex]x^{2}[/tex] - 3x - 5 = 0
a[tex]x^{2}[/tex] - bx - c = 0
Which number line represents the solution set for the inequality-1/2x>_4
Answer:
B
Step-by-step explanation:
Firstly, we solve for x
-x ≥ 2 * 4
-x ≥ 8
Multiply both sides by -1
x ≤ -8
So we look at the inequality represented by this;
We can see that the correct inequality is option B;
Hi i’m looking for some help
Find the volume of this sphere.
Use 3 for 7.
V
V~ [?]in3
V = $703
11 in
Answer:
Step-by-step explanation:
Volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):
[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that
V = 5324 in³
Find angle D if angle B = 50
============================================================
Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
----------------------------
Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
---------------------------
Here's what we have so far for quadrilateral DAEC
angle A = 90angle E = 100angle C = 90angle D = unknownNow we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.
Find the value of x and the value of y. 60 30 6
Answer:
The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]
Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]
[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]
[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]
[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]
[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]
[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]
Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]
[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]
[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]
[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]
And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Solve for x. Round to the nearest tenth of a degree, if necessary.
Sin (angle) = opposite leg / hypotenuse
Sin(x) = 2.1/4
x = arcsin(21./4)
x = 31.7 degrees
log8-log4 ÷ log4-log2=
Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero
Answer:
Step-by-step explanation:
the statement 0 < t < 52.5 represents all the time values for when Riko is behind Yuto, she catches up to Yuto at 52.5 minutes into her ride. Her ride starts at time of zero , so she can't have a negative time, like -4 because she isn't involved in the activity of riding her bike.
Answer:
The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.
Step-by-step explanation:
