Answer:
[tex]y=\frac{-1}{6}x-\frac{10}{3}[/tex]
Step-by-step explanation:
Slope intercept form of the equation of a line is [tex]y=mx+b[/tex] where m denotes the slope of line and [tex]b[/tex] denotes the y-intercept.
Equation of a line u is [tex]y=6x+6[/tex]
Here, slope of line u = m = 6
As the line v is perpendicular to line u, product of slopes of both the lines is equal to [tex]-1[/tex].
Slope of line v [tex]=\frac{-1}{6}[/tex]
So, slope intercept form of the line v is [tex]y=\frac{-1}{6}x+b[/tex]
As point [tex](10,-5)[/tex] lies on the line v, put [tex](x,y)=(10,-5)[/tex] in equation [tex]y=\frac{-1}{6}x+b[/tex]
[tex]-5=\frac{-1}{6}(10)+b\\-5=\frac{-5}{3}+b\\ -5+\frac{5}{3}=b\\\frac{-15+5}{3}=b\\\\\frac{-10}{3}=b[/tex]
Equation of line v is [tex]y=\frac{-1}{6}x-\frac{10}{3}[/tex]
Which of these situations does not have quantities that combine to make 0.
A. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
B. In the morning, the temperature rises 30 degrees. In the evening, it falls by 30 degrees.
C. Danny reads for 20 minutes. He then plays cards for 20 minutes.
D. A rock climber goes 40 feet down into a valley. She then goes 40 feet up a cliff.
describe a pentagonal prism.
Step-by-step explanation:
A pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.
The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.
The surface area and volume for the right regular pentagonal prism of unit edge length are
S = 5+1/2sqrt(5(5+2sqrt(5)))
(1)
V = 1/4sqrt(5(5+2sqrt(5))).
Which expression is equivalent to cos(103°)cos(54°) – sin(103°)sin(54°)?
sin(49°)
cos(49°)
sin(157°)
cos(157°)
Answer:
D - cos(157)
Step-by-step explanation:
Cos sum angle identity
cos(A+B) = cosAcosB - sinAsinB
103+54=157
The correct answer to the question is Cos 157
There are two ways to solve this question:
Method 1:Evaluate: Cos103Cos54 – Sine103Sine54
This can be obtained as follow:
Cos103Cos54 – Sine103Sine54
= –0.1322 – 0.7883
= –0.9205Next, we shall evaluate each option given in the question to see which will be equivalent to –0.9205. This is illustrated below:
Sine 49 = 0.7547
Cos 49 = 0.6561
Sine 157 = 0.3907
Cos 157 = –0.9205From the above evaluation, we can see that Cos 157 is equivalent to Cos103Cos54 – Sine103Sine54
Thus, Cos 157 is the correct answer to the question.
Method 2Again, we can apply the addition formula from trigonometry.
Cos (A – B) = CosACosB + SineASineB
Cos (A + B) = CosACosB – SineASineB
Sine (A + B) = SineACosB + SineBCosA
Sine (A – B) = SineACosB – SineBCosA
Comparing
Cos103Cos54 – Sine103Sine54 with the formula given above, it is very clear that:
Cos103Cos54 – Sine103Sine54 = Cos(103 + 54)Cos103Cos54 – Sine103Sine54 = Cos 157
Recall:
Cos103Cos54 – Sine103Sine54 = –0.9205
Cos 157 = –0.9205
Therefore, Cos 157 remains the correct answer to the question.
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Parallelograms PQRS and QRTU are standing on
the same base QR and between the same parallel
lines PT and QR. Prove that the area of
parallelograms PQRS and QRTU are equal.
Parallelograms PQRS and QRTU have the same base QR and height. it proves that areas are equal as base × height remains constant.
To prove that the area of parallelograms PQRS and QRTU are equal,
Use the concept that parallelograms with the same base and between the same parallel lines have equal areas.
Parallelograms PQRS and QRTU
Same base QR
Between the same parallel lines PT and QR
Proof,
Draw a diagram with parallelograms PQRS and QRTU sharing the common base QR and being situated between parallel lines PT and QR.
Since PQRS and QRTU share the same base QR and are between the same parallel lines PT and QR, their heights (perpendicular distances from base QR) are equal.
Let's call this height 'h'.
The area of a parallelogram is given by the formula:
Area = base × height.
For PQRS, its area would be: Area of PQRS = QR × h.
For QRTU, its area would be: Area of QRTU = QR × h.
Since both parallelograms have the same base 'QR' and the same height 'h', their areas are equal.
Therefore, it is proved that the area of parallelograms PQRS and QRTU are equal.
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-
Evaluate the following expression
22 - 53 +3
Answer:
-28
Step-by-step explanation:
Remember the order of operations: pemdas (parenthesis, exponent, multiply, divide, add, subtract). Just simplify the expression.
22 - 53 + 3
(22-53) + 3
-31 + 3
-28
Answer:
Your answer is: -28
Simplify the expression.
Step-by-step explanation:
Hope this helped : )
what is 1230 divided by 12
Answer:
102.5 is the answer sorry if u get I wrong
Solve for t. 7 + 3f > 4
Answer:
f > -1
Step-by-step explanation:
Subtract 7 from each side, so it now looks like this: 3f > -3Divide each side by 3 to cancel out the 3 next to f. It should now look like this: f > -1I hope this helps!
Phillip ordered 15 small bookcases with 3 shelves each and 13 large bookcases with 5 shelves each. How many total shelves did Phillip order?
Answer:
110 Brainliest please
Step-by-step explanation:
(13x5)+(15x3)=110
it takes 70 inches of ribbon around a box. the bow takes 32 inches of ribbon the width of the box is 14 inches. what is the height of the box
ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?
Answer:
4 packs of medium cups and 6 packs of large cups
Step-by-step explanation:
1.80x + 2.40y = 21.60
1.80(4) + 2.40(6) = 21.60
7.2 + 14.4 = 21.60
21.60 = 21.60
Answer:
Ivy bought 4 packs of medium cups, and 6 packs of large cups.
Step-by-step explanation:
To solve this problem, we will have to use a system of equations. Our first equation will represent the cups, and our second equation the costs.
Let [tex]m[/tex] equal medium cups.
Let [tex]l[/tex] equal large cups.
[tex]m+l=10[/tex]
[tex]1.80m+2.40l=21.60[/tex]
Let's use substitution to solve this system.
Subtract [tex]l[/tex] from both sides of the first equation:
[tex]m=10-l[/tex]
Let's substitute [tex]10-l[/tex] into the second equation for [tex]m[/tex]:
[tex]1.80(10-l)+2.40l=21.60[/tex]
Distribute [tex]1.80[/tex] into [tex](10-l)[/tex]:
[tex]18-1.80l+2.40l=21.60[/tex]
Combine like terms:
[tex]18+0.6l=21.60[/tex]
Subtract [tex]18[/tex] from both sides of the equation:
[tex]-0.6l=3.60[/tex]
Divide by the coefficient of [tex]l[/tex], which is [tex]0.6[/tex]:
[tex]l=6[/tex]
Ivy bought 6 packs of large cups.
_
Let's substitute [tex]6[/tex] into the first equation to find the number of medium cup packs:
[tex]m+6=10[/tex]
Subtract [tex]6[/tex] from both sides of the equation:
[tex]m=4[/tex]
Ivy bought 4 packs of medium cups.
_
We can check our work 2 ways; by substituting our solved values into the initial equations.
1st Equation Check:
[tex](4)+(6)=10[/tex]
[tex]10=10[/tex]
2nd Equation Check:
[tex]1.80(4)+2.40(6)=21.60[/tex]
[tex]7.2+14.4=21.60[/tex]
[tex]21.60=21.60[/tex]
Our answers are correct!
NEED HELP ASAP‼️‼️‼️
two column proof
Given: -5x+2/7 = -4; Prove: x = 6
Answer:
x = 6/7
Step-by-step explanation:
Last year the depth of the river was 4.2 feet deep.
This year it dropped 8%.
Find the depth of the river this year
HELP ME PLSS !!!
Answer:
should be around 3.9 exact answer is 3.864
Step-by-step explanation: subtract the percentage from the original depth
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container? 1 serving 2 servings 4 servings 5 servings
Answer:
4 servings
Step-by-step explanation:
Yogurt in the container = 1 5/8 pounds
A serving = 3/8 pounds
how many servings of yogurt are in the container?
Servings in the yogurt container = total yogurt in the container / yogurt per servings
= 1 5/8 ÷ 3/8
= 13/8 × 8/3
= 13/3
= 4.33
To the nearest whole serving
= 4 servings
Answer:
C
Step-by-step explanation:
the markup on a restaurant meal is 250%. a meal cost $7.30 to produce. how much will the customer be charged before tax and tip?
The required amount of money that a customer be charged is, $25.55.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
The markup on a restaurant meal is 250%.
And, A meal cost $7.30 to produce.
Now, The markup price on the meal is given by,
⇒ 250% of $7.30
⇒ 250/100 × $7.30
⇒ 5/2 × $7.30
⇒ $18.25
Therefore, The amount of money that a customer be charged before tax and tip is,
⇒ $7.30 + $18.25
⇒ $25.55
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-7/-11 is the same as -7/11 True or false (Plz help me
Answer: False
Step-by-step explanation:
Two negatives equals a positive
Answer:
FALSE
Step-by-step explanation:
Solve *
(6 + 3y2 + (9-10 + 5)
Answer:
Step-by-step explanation: The answer is
6y+10
Answer:
The answer is 6y + 10
find the area of the shaded region
Answer:
D) 1,020 square units
Step-by-step explanation:
36x48=1728
24x32=768
6x10=60
1728-768+60=1020 square units
Which of the following equations is nonlinear?
y = 3
y = 8x - 1
y = 5x
y = 5x3
Answer:
D)y=5x³
Answer:
y = 5x^3
Step-by-step explanation:
If there is an exponent other than 1 on a variable, then it is not linear.
Answer: y = 5x^3 since the exponent on x is 3.
Which statement is true about the following expression?
(2 – 7)(y + 15)
O A.
The expression has 3 factors.
B.
The expression contains no factors.
С.
The expression has 1 factor.
D.
The expression has 5 factors.
Answer:
the expression has three factors
Step-by-step explanation:
(2-7y)(y+15)
2y+30-7y-105
-5y+30-105
The expression (2 – 7)(y + 15) has 1 factor.
FactorWhat is a factor?A number or algebraic expression that evenly divides another number or expression, i.e., leaves no remainder, is referred to as a factor.
What is one degree polynomial?An expression which has the highest power of one of the variable is called one degree or linear polynomial.
Calculate the factor of expression:The given expression is;
(2 – 7)(y + 15)
As, the expression has variable 'y', which has the highest power of one. It means the expression is a one degree polynomial.
The factor of polynomial is always equal to its degree; here in this case it is one.
Therefore, the expression (2 – 7)(y + 15) has only one factor.
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A 20-ounce
box of cereal
costs $3.60.
Answer:
is this the full question?
Step-by-step explanation:
Please help with these 2 questions!!
Answer:
for the first it's y=6x and for the second it's the last options she mad mutiplying error
Answer:
1.) y = 6x 2.) She made a multiplying error in the table.
Step-by-step explanation:
1.)
Let's find the slope:
m = 36 - 24 / 6 - 4
m = 12/2
m = 6
Therefore, y = 6x
2.)
Amanda's equation checks out. It seems her problem is her multiplying.
Mr. Perez ordered 12 new jerseys for the middle school baseball team . Each jersey costs the same amount. He paid \$|O for shipping and the total cost of the order was $190. How much was the price of each jersey ?
Answer:
each jersey was 15 dollars.
Step-by-step explanation:
190-10= 180
180/12= 15
hope this helps!!
Answer:
15
Step-by-step explanation:
Take the 10 away because it was for shipping. Do 180 divided by 12 and you get 15
When y = 7, what is the value of x?
Answer:-1 as said in the bottom of the equation
Step-by-step explanation: it is at the bottom of the equation if wrong sorry.
The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the temperature in the enclosure should not vary by more than 5° F. Which absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure?
Answer: |81-x|<5
Step-by-step explanation:
Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.
Temperature in the enclosure should not vary by more than 5° F.
Let x= Temperature in the enclosure
Then, difference between average and current temperature should less the 5.
i.e. |81-x|<5 (required absolute value equation )
hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:
|81-x|<5
Using absolute value, it is found that the equation that could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure is:
[tex]|T - 81| = 5[/tex]
The absolute value function is defined by:[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.In this problem, the temperature T should be within 5º F of 81ºF, hence, the absolute value of the difference between T and 81 should be of 5, that is:
[tex]|T - 81| = 5[/tex]
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To which family does the function y = (x + 2) Superscript one-half Baseline + 3 belong?
quadratic
square root
exponential
reciprocal
Answer:
option b: square root
Step-by-step explanation:
just got correct on edge 2020
The family of the function belongs to square root.
We can solve this by understanding some types of functions
What is Function?This is an expression that relates two variable to one another.
In this question, we are looking for the family of the equation.
The function given is
[tex]y = (x + 2)^\frac{1}{2} + 3[/tex]
The options given here are
quadraticsquare rootexponentialreciprocalWhat is a quadratic equation?This is a polynomial that the variable have the highest power of 2. An example of this is [tex]y = ax^2 + bx + c[/tex]
What is a square rootThis a function in which the variable is a square root to the main function.
An example of this is [tex]y = \sqrt{x}[/tex]
What is an Exponential FunctionThis is a function in which one of the variable has an exponential function to the other. An example of this is [tex]y = 2e^x[/tex]
What is a Reciprocal FunctionThis is a function in which one of the variable is inverse to the other one. An example of this is [tex]y = \frac{1}{x}[/tex]
From the above explanation, we can see that the function
[tex]y = (x + 2)^\frac{1}{2} +3\\y = \sqrt{x+2} + 3[/tex]
is a square root function
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MULTIPLE CHOICE
Souvenir hats, t-shirts, and jackets are sold at a rock concert. Three hats, two t-shirts, and one jacket cost $140. Two hats, two
t-shirts, and two jackets cost $170. One hat, three t-shirts, and two jackets cost $180. Find the prices of the induvial items.
Answer:
Hats cost $15, T-Shirts cost $25, Jackets cost $45
If this was helpful please mark brainliest, have a great day!
IF YOU WANT BRAINLIESSSSSSSSSSSSSSSSSSST SAY, "I'M A SIMP FOR BRAINLIEST", AND I WILL GIVE U BRAINLIEST!!!!!!!! BTW, NO COPY N PASTERS, COPY N PASTERS WILL BE DISQUALIFIED.
Answer:
I'M A SIMP FOR BRAINLIEST
lol
Plz Help With This Math Brainliest First Person
Answer:
∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180 (all angles in a triangle add up to 180)
10x = 180
x = 18°
∠L = 3x
sub x = 18
3(18) = 54
∠L = 54°
Help Me Please! And Hurry!
Answer:the answer is the last one
Step-by-step explanation:
NEED YOU GUYS HELP AGAIN!!
Answer:
20 lbs cost $10
Step-by-step explanation:
36 lbs= $180
x = $10
Let's use the cross method
36*10 = 180x
360 = 180x
360/180 = 180x/180
20= x
20 lbs cost $10
I know, I was also shocked with the answer but trust me :) I checked the answer. Hope this helps!
