Answer: b=-9
Step-by-step explanation:
To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]
Now that we know the slope, we can fill in what we know and solve for y-intercept.
y=3x+b
We can plug in any point to solve for y-intercept.
3=3(4)+b [multiply]
3=12+b [subtract both sides by 12]
b=-9
Now, we know that the y-intercept is b=-9.
the wavelenght of voilet light in a spectrum
Answer: Violet light is at the higher end of the visible spectrum, with a wavelength ~380-450 nanometers.
Step-by-step explanation: Please mark Brainliest!
A rectangle that is 4 inches by 6 inches has been scaled by a factor of 7 . What are the side lengths of the scaled copy ?
Step-by-step explanation:
step one:
The question is incomplete it did not specify weather the scale was a reduction or an increase in the dimension of the rectangle.
step two:
let us assume it was to be an increase i.e 7x
the length would be 4*7= 28 inches
the width would be 6*7= 42 inches
step three:
Also, we assume it was to a decrease i.e 7x
the length would be 4/7= 0.57 inches
the width would be 6/7= 0.85 inches
A square has a perimeter of 24x² +16. What is
the length of each side of the square
Answer:
6x² + 4
Step-by-step explanation:
The 4 sides of a square are equal in measure.
Divide the perimeter by 4 for length of side, that is
side = [tex]\frac{24x^2+16}{4}[/tex] = [tex]\frac{24x^2}{4}[/tex] + [tex]\frac{16}{4}[/tex] = 6x² + 4
Jenna's retirement party will cost $9 if she invites 3 guests. If there are 5 guests, how much will Jenna's retirement party cost? Assume the relationship is directly proportional.
Answer:
$15
Step-by-step explanation:
3 guest = $9 (9/3 = 3 so each guest is $3)
so
5 guest = $15 (3 x 5 = 15)
what is -0.5m - 0.75 = 2.15
Answer:
m=5.8 or -29/5
Step-by-step explanation:
I used a calculator
Write the expression in radical form. [tex](36x)\frac{1}{2}[/tex]
Which graph represents a function?
three over twenty times eight
[tex]\text {Hi! Let's Solve this Problem!}[/tex]
[tex]\text {So the problem we have here is 3/28*8}[/tex]
[tex]\text {We see that 8 is by itself. So we add a 1 underneath 8.}[/tex][tex]\text {So 8 is the numerator and 1 is the denominator.}[/tex]
[tex]\text {Now we Multiply:}[/tex]
[tex]\text {3*8=24}\\\text {20*1=20}[/tex]
[tex]\text {Your answer would be:}[/tex]
[tex]\fbox {24/20}[/tex]
[tex]\text {You can Simplify that by dividing 4 which gets you}[/tex]
[tex]\fbox {6/5}[/tex]
[tex]\text {Now we convert that Improper Fraction to a Mixed Number}[/tex]
[tex]\text {Your final answer would be:}[/tex]
[tex]\fbox{1 1/5}[/tex]
[tex]\text {Best of Luck!}[/tex]
If mLP = (19x - 5) and x = 4, find mLP and classify the angle.
mLP = ?
Classify the angle.
Acute
Right
Obtuse
Straight
Solve the equation.
2 ( 4z - 1) = 3(z+2)
Z=
Answer:
[tex]z = \frac{8}{5}[/tex]
Step-by-step explanation:
Calculate for the value of [tex]z[/tex] :
[tex]2(4z - 1) = 3(z + 2)[/tex]
-Use Distributive Property on both left and right:
[tex]2(4z - 1) = 3(z + 2)[/tex]
[tex]8z - 2 = 3z + 6[/tex]
-Take [tex]3z[/tex] and subtract [tex]8z[/tex] :
[tex]8z - 3z - 2 = 3z - 3z + 6[/tex]
[tex]5z - 2 = 6[/tex]
-Add [tex]2[/tex] to both sides:
[tex]5z - 2 + 2 = 6 + 2[/tex]
[tex]5z = 8[/tex]
-Take [tex]5z[/tex] and divide on both sides:
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
[tex]z = \frac{8}{5}[/tex]
Therefore, the value of [tex]z[/tex] is [tex]\frac{8}{5}[/tex].
The solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
The given equation is 2( 4z - 1) = 3(z+2).
To solve the given equation means we should determine the value of the variable z.
To solve this, we will first clear the brackets
[tex]2(4z - 1) = 3(z+2)[/tex]
Clearing the brackets
[tex]8z - 2 = 3z + 6[/tex]
Now, collect like terms
[tex]8z - 3z = 6 + 2[/tex]
Then,
[tex]5z = 8[/tex]
Now divide both sides by 5
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
∴ [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Hence, the solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Learn more here: https://brainly.com/question/24546213
Translate and solve into an algebraic expression.
The product of b and -25 is 175
Answer:
- 25b = 175
Step-by-step explanation:
Since, The product of b and -25 is 175.
[tex] \therefore \: b \times ( - 25) = 175 \\ \huge \purple{\therefore \: - 25b = 175}[/tex]
Answer:
-25b = 175
b=-7
I hope this the correct answer
Step-by-step explanation:
The expression would -25b=175
divide -25 on both sides 175/-25 = -7
The area of a square is 215 square cm. Find the length of a side to the nearest tenth. Find its perimeter.
Answer:
Length of side = 14.7 cm
Perimeter = 58.7 cm
Step-by-step explanation:
Find the root of 215 to find the side length.
It is about 14.7 cm.
Then, multiply the length of the side by 4 to find the perimeter.
Solve the polynomial by graphing. Round to the nearest tenth.
3x^5-8x^4+2x^3+5x^2-2x+1=0
Help me with this please
Plz help me with this
Answer:
BALLZ
Step-by-step explanation:
T3ST1CALZ
ew.pat
100%
Aubrey is saving up to buy a new jacket. She already has $85 and can save an
additional $7 per week using money from her after school job. How much total
money would Aubrey have after 8 weeks of saving? Also, write an expression that
represents the amount of money Aubrey would have saved in w weeks.
I
Aubrey can save $7 per week, so she can save $7 x 8 or $56
in 8 weeks. Because she already had $85 to begin with, the
total amount saved would be $56 + $85 or $141.
Answer:
[tex]Total\ Savings = 85 + 7 w[/tex] --- In w weeks
[tex]Total\ Savings = \$141[/tex] --- In 8 weeks
Step-by-step explanation:
Given
[tex]Available\ Amount = \$85[/tex]
[tex]Weekly\ Savings = \$7[/tex]
[tex]Number\ of\ weeks = 8[/tex]
Required
Determine the amount of savings in w weeks
This can be calculated as thus:
[tex]Total\ Savings = Available\ Amount + Weekly\ Savings * Number\ of\ weeks[/tex]
In this case;
w = Number of weeks
So, we have:
[tex]Total\ Savings = 85 + 7 * w[/tex]
[tex]Total\ Savings = 85 + 7 w[/tex]
When w = 8, we have
[tex]Total\ Savings = 85 + 7 * 8[/tex]
[tex]Total\ Savings = 85 + 56[/tex]
[tex]Total\ Savings = \$141[/tex]
2 lines intersect. A horizontal line has points D, E, B. Line A C intersects that line at point E. Angle A E D is (x + 25) degrees and Angle A, E, B is (9 x + 10) degrees. What is the numerical sum of the degree measures of ∠DEA and ∠AEB? What are the numerical measures of the angles? x = m∠DEA = ° m∠AEB = °
Answer:
What is the numerical sum of the degree measures of ∠DEA and ∠AEB?
180
What are the numerical measures of the angles?
x = 14.5
m∠DEA = 39.5°
m∠AEB = 140.5°
Step-by-step explanation:
x + 25 + 9x + 10 = 180
Subtract 35 from both sides and you get,
10x = 145
The divide both sides by 10 and you get,
x = 14.5
To get the angle measurements you plug x back into the angle equations which in this case is 14.5.
It would look like,
m∠DEA = (14.5 + 25) = 39.5
and,
m∠AEB = (9 (14.5) + 10) = 140.5
The numerical sum of ∠DEA and ∠AEB is 180°.
Numerical value of x is 14.5°.
Measure of ∠DEA is 39.5°.
Measure of ∠AEB is 140.5°.
What is Supplementary angles?If the sum of two linear angles is 180° then, they are known as supplementary angles.∠A + ∠B = 180°, (∠A and ∠B are linear angles.)Given: Two lines intersect.
Points D, E and B lie on a horizontal line and point E is intersected by line AC.
∠DEA = x + 25
∠AEB = 9x + 10
Now, from the given information we can deduce that to obtain the angles ∠AED and ∠AEB, point E should lie in between points D and B.
Since, points D, E and B lie on the horizontal line, then the ∠DEA and ∠AEB should form the supplementary angles (Figure 1).
⇒ ∠DEA + ∠AEB = 180°
⇒ (x + 25) + (9x + 10) = 180°
⇒ 10x + 35° = 180°
⇒ 10x = 145°
⇒ x = 14.5°
Now, we will substitute the value of x = 14.5° in the ∠DEA and ∠AEB, hence we get:
⇒ ∠DEA = x + 25°
⇒ ∠DEA = 14.5° + 25°
⇒ ∠DEA = 39.5°
Also,
⇒ ∠AEB = 9x + 10°
⇒ ∠AEB = 9 × 14.5° + 10°
⇒ ∠AEB = 130.5° + 10°
⇒ ∠AEB = 140.5°
Therefore, the numerical sum of the degree measures of ∠DEA and ∠AEB is 180°; The numerical measures of the angles is, x = 14.5°, m∠DEA = 39.5° and m∠AEB = 140.5°.
Learn more about the Supplementary angles here: https://brainly.com/question/13045673?referrer=searchResults
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Sean sells chicken coops for $450 each plus a $100 delivery fee. The table below represents this situation. Total Cost Number of Coops 1 2 $550 $1,000 $1,450 $1,900 3 4 Which of the following represents the y-intercept of the graph of this situation? A 500 B 100 с 450 D 550
Answer:
100
Step-by-step explanation:
Got it right on test
On a number line, suppose the coordinate of A is 0, and AR = 9. What are the possible coordinates of the midpoint of AR?
Given:
On a number line, suppose the coordinate of A is 0, and AR = 9.
To find:
The possible coordinates of the midpoint of AR.
Solution:
Coordinate of A is 0, and AR = 9.
It means the distance between point A and R is 9 units. It means, point R can be either left side or right side of A. So, location of point R can be either -9 or 9.
If coordinate of R is -9, then midpoint of AR is
[tex]\dfrac{0+(-9)}{2}=-4.5[/tex]
If coordinate of R is 9, then midpoint of AR is
[tex]\dfrac{0+(9)}{2}=4.5[/tex]
Therefore, the possible coordinates of the midpoint of AR are -4.5 and 4.5.
Which are equivalent ratios to 7:13?
Check all that are true.
D 21:39
72:128
28:52
14:26
36:48
(3 5/9)÷(−2 2/3) help plz
Answer:
- 1 ¹/₃Step-by-step explanation:
3 ⁵/₉ ÷ - 2²/₃
convert into improper fractions
32/9 ÷ - 8/3
apply the fraction rule:
32 / 9 x -3 / 8
32 x -3
9 x 8
_ 96
72
_ 4 --->> convert improper to mixed numbers
3
- 1 ¹/₃
4 Apoint Q with coordinates of (8. 6) is reflected across they axis. What is the new
Coordinate
Answer:
8. -6
Step-by-step explanation:
2x+y = 43
(2x+24-30)-2
Find the coordinates of the midpoint of a segment with the endpoints (2,8) and (8,0).
Answer:
[tex]MP= (5,4)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8
[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4
[tex]MP= (5,4)[/tex]
Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short.
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
13-10=3
Find the value of x. Then find the missing angle measures of the polygon
110°
5x
2x
Sum of angle measures: 180°
X=
5x=
2x=
Pls help due today
Answer:
x=10
5x=50
2x=20
Step-by-step explanation:
110+5x+2x = 180 combine like terms and move the constants to the same side
7x=70
x = 10
5(10) = 50
2(10) = 20
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
for a rectangle to be called a square with 4 sides must be equal
for rectangle to be called a square its four angles must be equal.
Answer:
all parallel sides are the same lengths
all angles are 90°
Step-by-step explanation:
We know that the square has the definition of an object or plane that has all the four sides of equal length,
And all the angles related to the sides are also same. (all angles are 90°)
Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.
can someone please do this by applying the distributive property
MATH please answer
please answer
Answer:
you can fit 1000 hairs in 10 cm
Step-by-step explanation:
[tex]10^2= .01[/tex]
[tex].01*1000 = 10[/tex]
Evaluate 0 × |-6|. this would be 0 right?