Answer: y = 3x + 1
Step-by-step explanation:
In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.
Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).
m = 3
And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:
b = 1
Now put these two values into one equation.
y = mx + b
y = (3)x + (1)
y = 3x + 1
Select the reason why these triangles are similar. If they are not, select “not similar”
Answer:
B. SAS
Step-by-step explanation:
3/1= 2.25/075
The 2 sides are congruent and the angle between them is common
B. SAS is the answer
Please help with this
Answer:
A
Step-by-step explanation:
AA stands for angle angle.
For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.
Therefore, the angle ∠NMO and ∠QPR should be equal.
The sales tax for an item was $19.20 and it costs $480 before tax. Find the sales tax rate. Write your answer as a percentage
Answer:
sales tax rate = 4%
Step-by-step explanation:
In this problem formula to express one term in percentage is used
To express x as percentage of y is given by (x/y*100) %
______________________________________________
Cost of item = $480
sales tax = $19.20
we have to find sales tax rate.
sales tax rate is percentage of cost price which will levied as tax .
thus, we have to find sales tax as percentage of cost price.
using the percentage cost as given above
sales tax as percentage = sales tax/ cost of item *100
sales tax as percentage = 19.20/480 *100 = 4%
Thus, sales tax rate is 4%.
It means that if cost price of item is $100 then $4 will be the sales tax for the item.
Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of the perfect cube so obtained.
Answer:
Hi ,
Cube of a number :
_______________
For a given number x we define cube
of x = x × x × x , denoted by x^3.
A given Natural number is a perfect
Cube if it can be expressed as the
product of triplets of equal factors.
Now ,
Write given number as product of
prime .
8788 = 2 × 4394
= 2 × 2 × 2197
= 2 × 2 × 13 × 169
= 2 × 2 × 13 × 13 × 13
= 2 × 2 × ( 13 × 13 × 13 )
Here we have only triplet of equal
factors i.e 13
To make 8788 into perfect Cube we
have multiply with 2.
Now ,
2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )
17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect
Cube
I hope this will useful to you.
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to solve.
Answer:
20 chickens
Step-by-step explanation:
2/8= 5/x
2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:
2/8=5/20
Therefore, with 5 roosters, there are 20 chickens.
What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30
Answer:
C
Step-by-step explanation:
Standard form is f(x) = ax² + bx + c.
f(x) = -(x - 4)² + 2
= -(x² - 8x + 16) + 2
= -x² + 8x - 16 + 2
= -x² + 8x - 14
Hi,
the correct answer is C
This is the correct equation: f(x) = -x^2 + 8x - 14
XD
P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
If d = the number of dogs, which variable expression represents the phrase below? the sum of the number of dogs and the 6 cats.
Answer:
D.
Step-by-step explanation:
" Sum" means "+".
The sum of the number of dogs and the 6 cats.
d + 6
Answer:
Option D
Step-by-step explanation:
Sum is Adding (+)
So,
The expression becomes
=> d+6
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x
Answer:
x+y:
16<x+y<19
y-x:
3<y-x<6
xy:
60<xy<84
y/x:
10/7<y/x<2
Step-by-step explanation:
For x+y, it'll be
6<x<7
+
10<y<12
=16<x+y<19
____
y-x:
10<y<12
--
6<x<7
because of the negative sign the x inequality is reversed so it is -7<x<-6
and then you do the math and get 3<y-x<5
________
xy:
10<y<12
x
6<x<7
you multiply and get 60<xy<84
________
y/x:
10<y<12
divided by
6<x<7
now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6
Please give me a brainliest award. This took so long. I hope this helped.
Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].
The solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, ...,4.9\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Given that:
[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]
To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.
[tex](6 < x < 7) + (10 < y < 12)[/tex]
This gives:
[tex]6 + 10 < x + y < 7 + 12[/tex]
[tex]16 < x + y < 19[/tex]
This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:
[tex]x + y= \{17,18\}[/tex]
To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.
[tex](10 < y < 12) - (6 < x < 7)[/tex]
This gives:
[tex]10 - 6 < y - x < 12 - 7[/tex]
[tex]4 < y - x < 5[/tex]
This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:
[tex]y - x = \{4.5, ...,4.9\}[/tex]
To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.
[tex](6 < x < 7) \times (10 < y < 12)[/tex]
This gives:
[tex]6 \times 10 < x \times y < 7 \times 12[/tex]
[tex]60 < x \times y < 84[/tex]
[tex]60 < xy < 84[/tex]
This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:
[tex]xy = \{61,62,...83\}[/tex]
To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.
[tex](10 < y < 12) \div (6 < x < 7)[/tex]
This gives:
[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex]
This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:
[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Hence, the solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, 4.9...\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
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someone please explain this to me!! i don’t understand how they got this answer??
Answer [tex]67\leq t\leq 87=15[/tex]
Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]
WILL MARK BRAINLIEST!!! Find and post a picture of a number line with a whole dot on 7 and shading to the left
Answer:
7, with shaded dot (I hope this helps you)
Explanation:
WILL AWARD BRAINLIEST
What is the value of a?
Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?
Answer:
16 tricycles
Step-by-step explanation:
First, let's make a chart:
Bicycles- x bicycles and 2x wheels
tricycles- y tricycles and 3x wheels
Four wheeled vehicles- 2 bikes (given), 8 wheels
Since the total amout of bikes is 40, that means that x+y+8=40
You can simplify that to x+y=38.
now, we're going to form another equations dealing with the number of wheels.
Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92
Solve the system of equations:
2x+3y=92
x+y=38
y will be 16
Step-by-step explanation:
use the elimination method to solve the system of equations. choose the correct ordered pair. 6x-4y=-8 and 11x+4y=76
Answer:
(4,8)
Step-by-step explanation:
6x-4y=-8
11x+4y=76 eliminate y
6x+11y=-8+76
17 x=68
x=68/17=4
substitute x :
6x-4y=-8
6(4)-4y=-8
-4y=-8-24
y=-32/-4
y=8
In 1787, if an enslaved African was considered 3/5th of a person for representation in Congress,how many enslaved Africans would have been considered equivalent to 6 white Americans?
Answer:
10
Step-by-step explanation:
3/5 is 0.6 and 10 time 0.6 is 6.
hope this helps
Solve the equation 12x + 6y = 24 for x
Answers above
Answer:
D
Step-by-step explanation:
12x + 6y = 24
Subtract 6y on both sides.
12x = 24 - 6y
Divide 12 into both sides.
x = 24/12 - 6/12y
x = 2 - 1/2y
The solution for x in terms of y is x = 2 - (1/2)y
We have,
To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.
Starting with 12x + 6y = 24, we can subtract 6y from both sides:
12x + 6y - 6y = 24 - 6y
This simplifies to:
12x = 24 - 6y
Next, we divide both sides of the equation by 12 to solve for x:
(12x)/12 = (24 - 6y)/12
This gives us:
x = (24 - 6y)/12
x = 24/12 - 6y/12
x = 2 - (1/2)y
Therefore,
The solution for x in terms of y is x = 2 - (1/2)y
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TJ's Cat Food plans to use tins that are the shape of cylinders.
The internal measurements of a tin are shown.
8 cm
T
5 cm
I
b) Calculate the volume of cat food that the tin contains.
Round your answer to 1 decimal place
Answer:
V = 251.3 cm³
Step-by-step explanation:
Diameter 8 cm
Radius = 4 cm
Height = 5 cm
Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]
Where r = 4 cm, h = 5 cm
V = (3.14)(4)²(5)
V = (3.14)(16)(5)
V = 251.3 cm³
Answer:
251.3 cm³
Step-by-step explanation:
The diameter is 8 cm
So the radius is 8/2 = 4 cm
The height is 5 cm
Volume of tin can:
[tex]\pi r^2 h[/tex]
r = 4 & h = 5
[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]
Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-
Answer:
5.83 units
Step-by-step explanation:
Given is a right angled triangle.
Length of base = 2 - (-3) = 2+ 3 = 5 units
Height = 4 - 1 = 3 units
By Pythagorean theorem:
[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]
please help asap !!!!!!!!!
Answer:
D. 6\sqrt{5}-4\sqrt{7}
Step-by-step explanation:
[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]
I need help with this plz...Thanks
Answer:
Step-by-step explanation:
You graph it
Please help me asap!!!!!?
Answer:
D
Step-by-step explanation:
the scale factor will be the square of the fraction
7/4 =49/16
Answer:
D
Step-by-step explanation:
The following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.
Answer:
19 units
Step-by-step explanation:
In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units
The length of the side TU of the parallelogram is 19 units long.
What is a parallelogram?A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.
How to solve the given question?In the question, we are given a parallelogram STUV.
The length of the side TU is given as x + 10.
The length of the side VS is given as 3x - 8.
As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.
∴ TU = SV
or, x + 10 = 3x - 8
or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)
or, -2x + 10 = -8 (Simplifying)
or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)
or, -2x = -18 (Simplifying)
or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)
or, x = 9 (Simplifying).
Now, TU = x + 10 = 9 + 10 = 19.
∴ The length of the side TU of the parallelogram is 19 units long.
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y=k/x, when y=2, x=5 a) Calculate the value of k b) Calculate the value of x when y=0.5.
Answer:
a.) k = 10
b.) x = 20
Step-by-step explanation:
Step 1: Plug in variables and calculate for k
2 = k/5
10 = k
Step 2: Plug in variables and calculate for x
0.5 = 10/x
0.5x = 10
x = 20
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
Please help with this
Answer:
Step-by-step explanation:
Answer A is correct. Note that (6/5)(35) = 42 (side DG).
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
what is 2+3. if not answer get band
Answer:
5
hope your like this a swer
stay at home stay safe
bye bye
pls mark me as BRAINLIEST
Answer:
5
Step-by-step explanation:
If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.
Help asap please will give brainliest
Answer:
d. (x+2)/(-x²-5)
Step-by-step explanation
ƒ(x) = x + 2/(2x²)
The function is undefined when x = 0.
b. ƒ(x) = (2x + 4)/(3x + 3)
The function is undefined when 3x + 3 = 0, i.e., when x = -1.
c. ƒ(x) = (6x - 5)/(x² - 7)
The function is undefined when x² - 7 = 0, i.e., when x = √7.
d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)
The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.
This function has no excluded values.
which of the following is the solution to the inequalitY
below. (-5x-10 <20)
A.x > -6
B. x > -2
C. x < -6
D. x < -2
Answer:
The answer is option A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
x > - 6
Hope this helps
Hope this helps
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC? answers: Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE. Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC. No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent. No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
please answer ASAP please i need HELP ASAP thank you
Answer:
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Step-by-step explanation:
Data provided in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options
As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent
Therefore the last option is correct
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Data given in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.
As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Therefore the option D is correct.
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