What is the area of the shaded figure
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)
2/3
3/4
1/2
1
Answer:
23 and - 16 are the coefficients
Step-by-step explanation:
Is v = 12 a solution to the inequality below?
V> 7
Answer: Yes
Step-by-step explanation: If V=12
Then we plug in for the inequality and get 12>7
HElppppp will mark brainlest!!!!!!
Answer:
1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent
Step-by-step explanation:
congruent is are the same size and shape, similar have different sizes.
(giving brainiest)
real quick one should take someone around 5-7-10 minutes it really depends!
Answer:
Step-by-step explanation:
E
The sum of the two numbers is 121. The difference between the numbers is 15. What are the two numbers?
Answer:
First number = 75.5
Second number = 45.5
What is 7/2 divided by 5/4?
HURRY UP PLZ!!
Answer:
[tex] \frac{14}{5} [/tex]
Step-by-step explanation:
1) Use this rule : a ÷ b/c = a × c/b.
[tex] \frac{7}{2} \times \frac{4}{5} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{7 \times 4}{2 \times 5} [/tex]
3) Simplify 7 × 4 to 28.
[tex] \frac{28}{2 \times 5} [/tex]
4) Simplify 2 × 5 to 10.
[tex] \frac{28}{10} [/tex]
5) Simplify.
[tex] \frac{14}{5} [/tex]
Therefor, the answer is 14/5. And is decimal form it would be, 2.8.
A square pyramid with base edge 10 centimeters and height 12 centimeters, what is the Volume?
Answer:400 cm
Step-by-step explanation:
Answer:
120 cu. cm
Step-by-step explanation:
cube root of 0.064
a) 4
b) 0.04
c) 0.4
d) 0.004
Answer:
Option C. 0.4
Step-by-step explanation:
Given data
0.064
We are required to find the cube root of the above number
The cube root is also expressed mathematically as
= ∛0.064
= 0.4
Hence, the answer is option C 0.4
What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2
Answer:
y = 2x - 5
Step-by-step explanation:
Put it in point-slope form:
y + 7 = 2(x + 1)
y + 7 = 2x + 2
y = 2x - 5
please help thank you :)
Answer:
∠7 = 85°
Step-by-step explanation:
∠1 = 180 - 115 = 65° Because they are supplementary angles
∠2 = 180 - 65 - 85 = 30° Because the sum of all interior angles in a triangle
equals 180°
∠3 = 90° given
∠6 = 180 - 90 - 30 = 60° Because they are supplementary angles
∠4 = 180 - 155 = 25° Because they are supplementary angles
∠5 = 180 - 25 - 60 = 95° Because the sum of all interior angles in a
triangle equals 180°
∠7 = 180 - 95 = 85° Because they are supplementary angles
ANSWER FAST ITS DUE IN AN HOURRRRRR
State whether or not each equation or situation represents direct variation.
give me time will think and say
Answer:
The new Yorker is a very different kind than the word
A rectangular piece of land measures 250 m by 220 m. Each side is to be fenced with 3 rows of wires. What is the length of the wire needed?
Answer:
2,820 m
Step-by-step explanation:
Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.
The perimeter p of a rectangle of length l and width b is given as
p = 2(l + b)
Hence p = 2( 250 + 220)
= 2 * 470
= 940 m
Since each side is to be fenced with 3 rows of wires, the length of wire required
= 3 * 940m
= 2,820 m
The isotope Herodium-100 decreases by half every minute, Herodium-100 is there
isotope that gives a super hero their strength. Once the amount depletes to 4 ml, a
superhero becomes tired and need to leave the fight. If Mathman has 2000mL in his
body, when will he have to rest and replenish, rounded to the nearest minute?
Answer:
After about 9 minutes.
Step-by-step explanation:
We can write an exponential function to model the decay of Herodium-100.
We are given that it decreases by half every minute.
The standard exponential function is given by:
[tex]f(m)=A(r)^m[/tex]
Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).
Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.
And since it decreases by half every minute, r = 1/2. Thus:
[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]
Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:
[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]
Solve for m. Divide both sides by 2000:
[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]
We can take the natural log of both sides:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]
By logarithm properties:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]
Therefore:
[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]
Mathman will have to rest and replenish after 9 minutes.
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
f(x) = |x - 3| + 2
g(x) = |x + 1| - 5
2) Solve the system of equations using substitution.
2x – 9y = 14
x= -6y +7
Answer:
(7,0) ---> (x = 7) and (y = 0)
Step-by-step explanation:
2x – 9y = 14
x= -6y +7 <-- (Substitute for x to above equation)
---------------------------------------------------------------------------------------------------------
2(-6y +7)– 9y = 14
-12y + 14 - 9y = 14 <-- combine like terms
-21y + 14 = 14
-14 = -14 <-- inverse operation on both sides
-21y = 0 <-- Divide
y = 0 <--- Substitute for y to get x ↓
-------------------------------------------------------------------------------------------------------
2x – 9y = 14
2x – 9(0) = 14 <-- Substituted y from above
2x = 14 <-- Divide
x = 7
A machine produces 78 boxes per minute. At this rate, how long would it take the machine to produce 7,020 boxes?
Answer:
90 Minutes
Step-by-step explanation:
7020 divide by 78 = 90
Ms lebea, is a grade 10 mathematical literacy teacher at nkami high school gave learners a test out of 70 marks. She has 60 learners in her class and 35 are girls..
1.1 determine the number of boys in the classroom.
1.2 calculate the number of girls as a percentage of total learners in the classroom
1.3 what will be the ratio of girls to boys in the classroom.
1.4 calculate the actual pass mark of the test, if the pass percentage is 30% for the test
Answer:
1.2)60-35=25
therefore there are 25 boys in the class
1.2)35/60×100=58.333%
1.3)35:25
7 : 5
Is r<23 true or false
Answer:
Step-by-step explanation:
True
ill mark u brainliest
Answer:
The slope represents the number of cookies sold for each dollar.
Answer: it is C
Step-by-step explanation: each point is a number boxes sold and some profit
Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupcakes did Riley make for the bake sale
Answer:
70
Step-by-step explanation:
6x5=30
8x5=40
40+30=70
An online pet store offers the hamster house shown in the figure below. Choose all of the expressions that could be used to find the volume of the hamster house. A solid shape is shown; two rectangular prisms are attached. The total length of the shape is 6 feet. One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet. The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet. A. ( 1 × 3 × 4 ) + ( 2 × 5 × 3 ) B. ( 1 × 3 ) + ( 4 × 2 ) + ( 5 × 3 ) C. ( 1 × 3 × 2 ) + ( 6 × 3 × 2 ) D. 3 × ( 1 + 4 ) + 2 × ( 5 + 3 ) E. ( 3 × 4 ) + 1 × ( 2 × 5 ) + 3
Answer:
Its E.(3 × 4) + 1 × (2 × 5) + 3.
All the correct expressions that could be used to find the volume of the hamster house are,
⇒ (1 × 3 × 4) + (6 × 3 × 2)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet.
And, The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet.
Hence, Volume of first rectangular prism is,
⇒ 1 × 3 × 4
And, Volume of second rectangular prism is,
⇒ 6 × 3 × 2
Thus, All the correct expressions that could be used to find the volume of the hamster house are,
⇒ (1 × 3 × 4) + (6 × 3 × 2)
Learn more about the rectangle visit:
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Find the volume of x.
Answer:
98 degrees
Step-by-step explanation:
the full degree of a triangle is 180 degrees
52 + 30 = 82
180 - 82 = 98
Find the value of x in the triangle shown below.
15
х
9
Answer:
x=12
Step-by-step explanation:
[tex]x^{2}[/tex]=[tex]15^{2}[/tex]-[tex]9^{2}[/tex]
[tex]x^{2}[/tex]=225-81
[tex]x^{2}[/tex]=144 /sqrt
x=12
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 3 to the power 6/5
The expression above can also be written in the form c√a^b.
For this expression, a = , b = , and c =
.
Answer:
For this expression, a = 3, b = 6, and c = 5.
Step-by-step explanation:
For the given expression, a = 3, b = 6, and c = 5.
We have given that,
Type the correct answer in each box. Use numerals instead of words. If necessary, use for the fraction bar(s). 3 to the power 6/5.
The expression above can also be written in the form c√a^b.
We have to determine the,
For this expression, a = , b = , and c =
What is the expression?
The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols. The expression consists of unknown variables.
For this expression, a = 3, b = 6, and c = 5.
To learn more about the expression visit:
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Simplify.
(-2)^-3
A.) 8
B.) 1/8
C.) -8
D.) - 1/8
Answer:
D. -1/8
Step-by-step explanation:
Hi I need help please
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 62
8x = 72
x = 9
need help im struggling
Answer:
the first answer is correct
Step-by-step explanation:
before we started we had not caught any fish
Answer:
I think a is correct bc the rest aren't true
hope this helped