Answer:
side = 20 cm
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate the 2 given sides and solve for x
5(x - 3) = 2x + 6
5x - 15 = 2x + 6 ( subtract 2x from both sides )
3x - 15 = 6 ( add 15 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
then length of side is
2x + 6 = 2(7) + 6 = 14 + 6 = 20 cm
Answer:
20 cm
Step-by-step explanation:
Properties of an Equilateral Triangle
Regular polygon with 3 sidesSides lengths are equalInterior angles are equalGiven information
length of one side: (2x + 6) cmlength of second side: 5(x - 3) cmFind value of x
As side lengths are equal, equate the expressions and solve for x.
2x + 6 = 5(x - 3)
⇒ 2x + 6 = 5x - 15
⇒ 2x + 6 + 15 = 5x - 15 + 15
⇒ 2x + 21 = 5x
⇒ 2x + 21 - 2x = 5x - 2x
⇒ 21 = 3x
⇒ 21 ÷ 3 = 3x ÷ 3
⇒ 7 = x
⇒ x = 7
Side lengths
Substitute x = 7 into one of the given expressions.
⇒ length of one side: 2(7) + 6 = 20 cm
Tell whether the angles are adjacent or vertical. Then find the value of x.
The angles are
Question 2
x = ?
Answer:
x=20
Step-by-step explanation:
These these angles are adjacent
because they share a vertex and side. They also form a linear pair meaning they add up to 180 degrees...
x+20+7x=180
Combine like terms
8x+20=180
Subtract 20 from both sides
8x=160
Divide both sides by 8
x=20
The Bake Stars need to arrange 718 pupcakes on trays for a pooch pool party.
If each tray can hold 9 pupcakes, about how many trays will the bakery need?
Choose the best estimate.
1) 4
2) 20
3) 60
4)40
3) 60
Step-by-step explanation:
718 ÷ 9 = 79.78
So, if you round to the nearest whole number its about 80, the closest answer from your options is 60 so I think the best estimate is number three: 60.
hi i'm stup*d at math and im not sure :(
Answer:
I think standard form would be best because it is simplest.
Step-by-step explanation:
hope this helps
Answer: Intercept Form
Step-by-step explanation:
There are three methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum. The first way is by using a graph. You can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum. This is especially easy when you have a graphing calculator that can do most of the work for you.
Given the scenario:
A cell phone company charges $20 a month for the base plan. They charge 10 cents for
every text, minute, or kilobyte of data use. Write and equation to express your cell
phone bill.
If you used 500 texts, how much would your cell phone bill be?
O $170
O $65
O $20
O $70
Answer:
20$ is the answer of your question
Write a sequence of transformations that maps circle B onto circle A.
A translation 4 units right and 2 units up is done followed by a dilation of 3/2.
TransformationTransformation is the movement of point from its initial location to a new location. Types are rotation, translation, reflection and dilation
Translation is the movement of point up, down, left or right. Dilation is the increase or decrease in the size.
To map circle B onto circle A, first a translation 4 units right and 2 units up is done followed by a dilation of 3/2.
Find out more on Transformation at: https://brainly.com/question/1462871
Answer: All 3 Parts
Part A :
Part B : A translation 4 units right and 2 units up is done followed by a dilation of 3/2
Part C : the two circles are equation congruent
Step-by-step explanation:
What is 2 cups of flour to 3 cups of sugar
Answer:
2:3 or 2/3
this is a ratio problem
Answer:
2:3?
Step-by-step explanation:
I'm kinda guessing from the question u gave cuz it doesn't really have a lot of information
What is the equation of the line that passes through the point (-2, 1) and has a
slope of -5/2?
Answer:
y = -5/2x - 4
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (-2,1)
y - y1 = m (x - x1)
y - 1 = -5/2 (x - (-2))
y -1 = -5/2x - 5
+ 1 + 1
y = -5/2x - 4
To check our answer, I attached the graph.
Hope this helps!
g(x) =2x + 4; Find g(-3)
Answer:
[tex]g(-3)=-2[/tex]
Step-by-step explanation:
Substitute g(-3) into the function:
[tex]g(-3)=2(-3)+4[/tex]
Multiply:
[tex]g(-3)=-6+4[/tex]
Add:
[tex]g(-3)=-2[/tex]
Answer: -2
Step-by-step explanation:
plug g(x) with -3 so it would be 2(-3) + 4 and then simply and add so 2(-3) equals -6 + 4 is -2
You're locked out of your house and only open window is on the second floor, 30 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a flower garden along the edge of the house, so you'll have to place the ladder 12 feet from the house. What length of ladder do you need to reach the window?
Answer:
42 ft minimum.
Step-by-step explanation:
you need to place the ladder 12ft from the house and it is 30 ft above the ground.
Answer:
IVE BEEN LOCKED OUT OF MY HOUSE BEFORE.
Step-by-step explanation:
42 ft
Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)
PLEASE EXPLAIN. STEP BY STEP INSTRUCTIONS
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
with (x1, y1) being a point on the line, and m being the slope (the incline of the line).
we have the point. we can pick one from the 2 choices, I typical go for the one with smaller values. so, I will use (-3, 1).
now we need to calculate the slope.
the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.
so, for our 2 points we see
x changes by +1 (from -4 to -3).
y changes by +2 (from -1 to +1).
and the slope is +2/+1 = 2
therefore our equation is
y - 1 = 2(x - -3)
or simplified
y - 1 = 2(x + 3)
arrange 1/7 4/14 2/3 in ascending order
Answer
Its already in order: 1/7 4/14 2/3
Step-by-step explanation:
Because the common denominator for all three is 42, which turns the fractions to 6/42, 12/42, and 28/42 making it easier to place in order
ANSWER:
1/7,4/14,2/3.......................
Circle the equation with a rate of change of 3.
y=3x+12
3y=2x+5
Y=6x-3
(Please explain how you got your answer)
Answer:
[tex]y = 3x + 12[/tex]
Step-by-step explanation:
The rate of change is represented as the slope.
The problem is asking for a slope that is equal to 3.
y=6x-3 is incorrect, the equation is simplified and the slope is 6.
3y=2x+5 is incorrect, the slope is 2 and the equation isn't simplified.
y=3x+12 is correct, the equation is simplified and it's showing the correct slope.
Put these into Slope-Intercept Form
x + y = 1
3x + 5y = 15
Answer:
y = −x + 1
y = −3/5x + 3
-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4
-0.1
Explanation:
-3/3(a+c[b+5]-[-6+a])
-3/3(1-4[-6+5]-[-6+1])
-3/3(1-4[-1]-[-5])
-3/3(1 + 4 + 5)
-3/3(10)
-3/30
-0.1
Hope this helps!
A line passes through the points (4, 9) and (8, 10). What is its equation in slope-intercept form?
y =?
x + ?
Answer:
Step-by-step explanation:
1) find slope
y2-y1/x2-x1
10-9 divided by 8 - 4
1/4 = slope
1/4 = y
b = y-int
Find twe positive even consecutive intecers such
that the square of the smaller integer is 10 more
than the larger integer.
Answer:
The numbers are 4 and 6
Step-by-step explanation:
Let:
x - the smaller even consecutive integer x+2 - the larger even consecutive integerwe know that
[tex]x^{2} =(x+2)+10[/tex]
solve for x
[tex]x^{2} -x-12=0[/tex]
We can use the quadratic formula for quadratics in the form [tex]ax^{2} +bx+c=0[/tex]
[tex]x= \frac{-b(+/-)\sqrt{b^{2} -4ac}}{2a}[/tex]
to give us an answer of 4 and -3
Since the question states positive and even we use 4 and that gives us 6 as the other answer
4 and 6
Answer:
4 and 6
Step-by-step explanation:
x = smaller integer
x+2 = larger integer
x² = 10 + (x + 2)
x² = x + 12
x² - x - 12 = 0
factors are:
(x-4)(x+3) = 0
x-4=0; x = 4
x+3=0; x = -3
Since the question states the numbers are even and positive we use only the 4 and the next consecutive even integer is 6
Which is the smallest ratio?
3 to 4 , 23 , 10:12 , 2 to 1
Answer: 2/3 is the smallest ratio.
Step-by-step explanation:
Find the probability of getting a prime number from 1 to 10
Step-by-step explanation:
For example, to find the probability that a prime is selected from 1 to 10 requires us to divide the number of primes from 1 to 10 by 10. The numbers 2, 3, 5, 7 are prime,
hope this helps you
please mark me brainliest
HELPPP!!! Please show work
Step-by-step explanation:
tan a = 9.6/7.2=4/3
a = 53.13
Brian borrowed $22,000 to buy a car. The rate of interest was 9.5% and the length of time was 5 years. What will be Brian's total cost for his car?
Answer:
Compound interest
$34633.25
Step-by-step explanation:
Everything starts of at 100% and the rate of interest is 9.5% so we add them on=109.5%
Now we want this percentage as a decimal so we divide by 100 = 1.095 this our multiplier
Then get the original amount that you borrowed = 6000 times by the multipler=1.095 to the power of number of years so
6000 multipled by 1.095 to the power of 5
Giving me $34633.25
Please help me figure out what’s in the boxes Ill mark brainlyiest
Answer:
(x, y) = (-6, -10)
Step-by-step explanation:
Pick a variable whose coefficient you want to be zero in the sum. Note the two coefficients of that variable in the two equations. Write the second coefficient in the first box, and the opposite of the first coefficient in the second box.
__
If you want to eliminate x-terms, the x-coefficients are -2 and -3. Write -3 in the first box and +2 in the second box.
-3(-2x +2y = -8) ⇒ 6x -6y = 24
+2(-3x +y = 8) ⇒ -6x +2y = 16
Added together, the resulting equation is ...
0x -4y = 40
y = -10 . . . . . . . divide by -4
__
If you want to eliminate y-terms, the y-coefficients are 2 and 1. Write 1 in the first box, and -2 in the second box.
1(-2x +2y = -8) ⇒ -2x +2y = -8
-2(-3x +y = 8) ⇒ 6x -2y = -16
Added together, the resulting equation is ...
4x +0y = -24
x = -6 . . . . . . . . divide by 4
__
Now, you know the solution is (x, y) = (-6, -10).
_____
Additional comment
It does not matter which is the first equation. You can swap the two equations and still achieve the desired results. Also, if the coefficients have a common factor, you can divide that out. As you may have noticed, the arithmetic is a little easier if one of the chosen coefficients is 1 or -1.
If you're combining the equations using addition, as we have done here, then one of the coefficient multipliers must be negated, as we have described. If you're combining the equations using subtraction, then you can preserve the original signs of the coefficients (or change them both).
Please help asap
I cant figure out the answer
Answer:
3
Step-by-step explanation:
[tex]x=\sqrt{2x+3}[/tex]
square both sides: [tex]x^2=2x+3[/tex]
subtract [tex]2x + 3[/tex] from both sides: [tex]x^2-2x-3=0[/tex]
factorize: [tex](x-3)(x+1)[/tex]
Therefore, [tex]x=3 \ and \ -1[/tex]
Substitute found values of [tex]x[/tex] back into original equation:
[tex]3=\sqrt{2\times3+3}=3 \ \ \checkmark[/tex]
[tex]-1=\sqrt{2\times-1+3}=1[/tex] incorrect!
So answer is [tex]x = 3[/tex] only
For what value of x the rational expression 1/3x-6 is undefined?
Answer:
2
Step-by-step explanation:
A fraction is undefined when the denominator is 0 because division by 0 is undefined.
When x=2, we have 3x-6=0 and the denominator is undefined.
Find a polynomial that represents the area of the square.
Answer:
49x²+126x+81
Step-by-step explanation:
Area of any square is length²
If the length given is 7x+9, we can square this to find out what represents the area:
[tex](7x+9)^{2}[/tex]
[tex](7x+9)(7x+9)[/tex]
[tex]49x^{2} +63x+63x+81[/tex]
[tex]49x^{2} +126x+81[/tex]
Answer:
49x² + 126x + 81
Step-by-step explanation:
A = a²
Since a = 7x + 9
=> A = (7x+9)²
= 49x² + 126x + 81
Note: (a+b)² = a² + 2ab + b²
Three trigonometric functions for a given angle are shown below. Sine theta = Negative StartFraction 77 Over 85 EndFraction, cosine theta = StartFraction 36 Over 85 EndFraction, tangent theta = Negative StartFraction 77 Over 36 EndFraction What are the coordinates of point (x, y) on the terminal ray of angle mc020-2. Jpg, assuming that the values above were not simplified? (–77, –36) (–77, 36) (–36, 77) (36, –77).
Trigonometric functions are the ratio of the different sides of a right-angled triangle. We can say that the coordinates of the point are (-77, 36).
What are trigonometric functions?
Trigonometric functions are the ratio of the different sides of a right-angled triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given to us
[tex]Sin(\theta) = \dfrac{-77}{85}[/tex]
[tex]Cos(\theta) = \dfrac{36}{85}[/tex]
[tex]Tan(\theta) = \dfrac{-77}{36}[/tex]
As we know that the Tangent(Tan) is the ratio of perpendicular and base. therefore, we can write the function as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base} = \dfrac{-77}{36}[/tex]
therefore, the length of the perpendicular is 77, while the length of the base is 36.
As given to us that the value of sin is negative, therefore, the perpendicular will be on the negative side of the y-axis. While the value of cos is positive, therefore, the base will be on the positive side of the x-axis.
Thus, we can say that the coordinates of the point are (-77, 36).
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
Answer:
B
Step-by-step explanation: just did it gang 100%
Tameka’s plant measured 3 inches at the beginning of the week and 5 inches at the end of the week. What was the approximate percent increase in the height of Tameka’s plant?
40%
25%
60%
67%
Answer:
25%
Step-by-step explanation:
Multiply:
3 × 5 = 25%
Hope this helps!! <3
QUESTION IN PIC- 20 POINTS :)
Answer:
CD = 3 -√3
Step-by-step explanation:
The ratio of leg lengths in a 30°-60°-90° triangle is ...
1 : √3 : 2
The longest leg of ΔABD is 2√3, so we must multiply all of these ratio values by √3 to see the actual lengths of the triangle sides.
AB : BD : AD = 1 : √3 : 2 = √3 : 3 : 2√3
That is ...
AB = √3
BD = 3
__
The lengths of the legs in isosceles right triangle ABC are the same, so ...
BC = AB = √3
Then the length of interest is ...
CD = BD -BC
CD = 3 -√3 . . . . . . . a=3, b=-1
what is 4 times b = 14
Answer:
b=3.5
Step-by-step explanation:
Answer:
3.5x-1
Step-by-step explanation:
Solving:
4bx = 14
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Divide each side by '4x'.
b = 3.5x-1
Simplifying
b = 3.5x-1
I can’t figure out how to solve this problem someone please help me
Answer:
x=30
Step-by-step explanation:
i actually dont know but thnks for the points BTW
Answer:
x = 4
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means the ratio of short side to long side is the same for all of the right triangles:
x/10 = 10/25
x = 100/25 = 4 . . . . . multiply by 10
_____
Additional comment
You may notice that the two segments of the hypotenuse, x and 25, have a product that is the square of the altitude. Another way to say this is that the altitude is the geometric mean of the segments x and 25.
There are two other geometric mean relations in this geometry:
the short side at the right is the geometric mean of x and (x+25).
the long side at the bottom is the geometric mean of 25 and (25+x).
That is, the segments that intersect the hypotenuse are the geometric mean of the two segments of the hypotenuse that they meet.
geometric mean of A and B is √(AB)
if u help me then ill be your friend
Answer:
multiply both sides by 4
Step-by-step explanation:
Answer:
- 3/2 is the answer:)
Step-by-step explanation:
Move the constant to the right
Calculate
Divide by both sides
Hope this helps!