Select the correct answer.
What is the equation of a line that passes through (7, 8) and has a slope of -3?
OA y=-3x+29
OB y=3x + 13
Ocy=((3)x - 299
D. 'y=(1/(3)x- 13
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (7, 8) into the partial equation
8 = - 21 + c ⇒ c = 8 + 21 = 29
y = - 3x + 29 → A
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.
Answer:
6tg67g76g76g76
Step-by-step explanation:
Answer:
There are 2 steps:
1. 90° counterclockwise rotation about the origin
2. Translation downward 2 units
Step-by-step explanation:
1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),
D moves from (-2, 4) to (-4, -2)
W moves from (-1, 2) to (-2, -1)
P moves from (3, 3) to (-3, 3)
2. Translation downward 2 units = (x, y) to (x, y-2),
D moves from (-4, -2) to (-4, -4) = M
W moves from (-2, -1) to (-2, -3) = J
P moves from (-3, 3) to (-3, 1) = S
15. Which of the following systems has no solution?
A. 3x – 2y = - 16x – 4y = 6
B. -x + y = 12x – 3y = 4
C. 4x + y = 7x + 4y = 4
D. 3x – 4y = 2 - 2x + 4y = 9
Answer:
A. has no solution
Step-by-step explanation:
(8.5×108) + (2.3×107)
Answer:
1164.1
Step-by-step explanation:
least to greatest :)
Answer:
2^1 + 3^1, 2^3 - 2^1 and 3^2.
Step-by-step explanation:
3^2 = 9.
2^3 - 2^1 = 8 - 2 = 6.
2^1 + 3^1 = 4.
The Morris family bought 3 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 25 of the eggs. How many eggs are left?
Answer:
29
Step-by-step explanation:
3 x 8 = 54 - 25 = 29
Please helppppp!! Find the midpoint of the segment with the following end points (-2,7) and (2,3)
Answer:
[tex] \huge{ \boxed{ \bold{ \tt( \: 0 \: ,5 \: )}}}[/tex]
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☞ First, Let's explore about Midpoint :
Midpoint of the segment simply means middle point of a line segment. Formula of Midpoint :
[tex] \boxed{ \sf{(x _{ \: m \: } ,\: y_{m}) = ( \frac{x_{1} + x_{2}}{2} ,\: \frac{y_{1} + y_{2}}{2} )}}[/tex]
where ,
[tex]( \sf{x_{ \: m \: } ,\: y _{ \: m \: })}[/tex] = co-ordinates of the midpoint[tex]( \sf{ x_{ \: 1 \: }, \: y_{ \: 1 \: }})[/tex] = co-ordinates of the first point[tex] \sf{(x _{ \: 2 \: } ,\: y_{ \: 2 \: })}[/tex] = co-ordinates of the second pointThe Midpoint Formula is used to find the exact center point between two defined points in a line segment. The Midpoint formula is quite simple , so you should easily be able to remember it. It won't matter which point you pick to be the 'first" point you plug in. Just make sure that you're adding both an x to an x and a y to a y. Hence, keep in mind , in order to find the midpoint of a line segment, the first step is to add both ' x - co-ordinates' and divide it by 2 and then the second step is to add both ' y - co-ordinates ' and divide it by 2.
Now, Let's solve it!
☯ Question :
Find the midpoint of the segment with the following end points ( - 2 , 7 ) and ( 2 , 3 ).☯ Step - by - step explanation :
Let P ( x , y ) divide the line joining the points A ( - 2 , 7 ) and B ( 2 , 3 ). Now, let :
A ( - 2 , 7 ) → ( x₁ , y₁ )B ( 2 , 3 ) → ( x₂ , y₂ )Apply midpoint formula , then plug the values and lastly simplify it :
[tex] \sf{ midpoint \: = \: ( \frac{x _{ \: 1 \: } + x _{ \: 2 \: }}{2} , \: \frac{y_{ \: 1 \: } + y _{ \: 2\: }}{2} })[/tex]
➺ [tex] \sf{midpoint = ( \frac{ - 2 + 2}{2}, \: \frac{7 + 3}{2} )}[/tex]
➺ [tex] \sf{midpoint = ( \frac{0}{2} , \: \frac{10}{2} )}[/tex]
➺ [tex] \boxed{ \sf{ midpoint = ( \: 0 \: , 5})}[/tex]
Hence , The midpoint of the segment with the end points A ( - 2 , 7 ) and B ( 2 , 3 ) is ( 0 , 5 ) .
Hope I helped!
Have a wonderful time ッ
~TheAnimeGirl ♡
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what is the answer real quick
Answer:
19
Step-by-step explanation:
2d + 3 d = 8
2(8) + 3
16 + 3
19
SOMEONE PLZ HELP I HAVE TO TURN THIS IS BY 12:00
Mark ran a race at a local park. The distance was 5 Km. Mark learned from his awesome math teacher that 1 Km = 0.62 miles. Based on this, how many miles can he tell his parents that he ran at the race?
Determine the length of the diagonal side of the roof truss. The height of the roof truss is 6.3m and the full span of the roof truss is 16.4m.
Answer:
7.96
Step-by-step explanation:
Please Help Me With A Paper For Math Class!!!
Answer:
a. 38
b.95
c.57
Step-by-step explanation:
find the slope between the points (0,5) and (-3,7)
Answer:
- 2/3 is the answer
which equation represents the same line as the table
Answer:
I think the second one I may be wrong tho
What is the domain and range of the graph?
Answer:
Domain: [-1, 5]
Range: [-1, 2]
Step-by-step explanation:
The scale drawing of a building has a width of 3 inches and a height of 5 inches. If the width of the actual building is 36 feet, what is the height?
Answer:
The actual height is 720 feet.
Step-by-step explanation:
36 × 12 = 432
432 ÷ 3 = 144
144 × 5 = 720
32. At a fast food joint, five cheeseburgers and two large shakes cost $23. At
the same fast food joint, three cheeseburgers and three large shakes cost
$21. What is the costs of a cheeseburger, and what is the cost of a large
shake? Show all work in the space provided.
yoression
Answer:
multiple choice?
Step-by-step explanation:
Answer:
Cheesburger costs $3. Shake costs $4.
Step-by-step explanation:
c is cheesburger and s is large shake.
5c+2s=23
3c+3s=21
15c+6s=69
-6c-6s=-42
9c=27
c=3
Suppose 60% of kids like video games. Predict the number of kids that prefer video games out of a group of 200 kids.
Answer:
120 kids prefer video games
Step-by-step explanation:
60% is .60
multiply .60 by 200 to get your answer.
.60 × 200 = 120
Stella is trying to make extra money on her summer vacation from school. She works
two different jobs, earning $10 per hour babysitting and $13 per hour clearing tables.
How much money would Stella earn in a week in which she worked 7 hours
babysitting and 9 hours clearing tables? How much money would Stella
week in which she worked b hours babysitting and c hours clearing tables?
earn in
a
7 hours babysitting and 9 hours clearing tables:
b hours babysitting and c hours clearing tables:
Submit Answer
attempt i outot
Answer:
$187
10b + 13c
Step-by-step explanation:
Payment for babysitting = $10 per hour
Payment for clearing tables = $13 per hour
How much money would Stella earn in a week in which she worked 7 hours babysitting and 9 hours clearing tables?
Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours
= 10 × 7 + 13× 9
= 70 + 117
= $187
How much money would Stella
week in which she worked b hours babysitting and c hours clearing tables?
Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours
= 10 × b + 13 × c
= 10b + 13c
Which of the following numbers is not a factor of 2004?
/4
/6
/8
/12
Answer:
8
Step-by-step explanation:
Angela baked cookies. She gave 1/3 of them to her sister, and she put 5/8 of the remaining cookies in the freezer. If she had 1 dozen cookies left, how many cookies did she bake?
Answer:
We find the fraction of a number by doing two steps: first, multiply the whole number by the numerator, and then divide the product we get by the denominator.
multiplying fraction by a number
Let's solve real-world problems about fractions of a number.
Word Problem Examples
cookies
Jane baked 24 chocolate chip cookies. She gave 1/3 of the cookies to her neighbor. How many cookies did she give to her neighbor?
What is the problem asking us to do?
That's right!
We need to figure out what 1/3 of 24 is.
1/3 of 24 is the same as this:
24 × 1/3 = ?
First, multiply 24 by the numerator:
24 × 1 = 24
Then, divide the product we got by the denominator:
24 ÷ 3 = 8
✅ Now we know that she gave 8 cookies to her neighbor.
Here are more questions about this problem:
Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. How many cookies did she give to her parents? How many cookies did she eat?
The problem tells us to figure out two things:
- the number of cookies that Jane gave to her parents,
- the number of cookies that Jane ate.
But first, we have to find out how many cookies were left, after Jane gave some away to her neighbor.
She started with 24 cookies and gave 8 cookies away.
Let's subtract:
24 - 8 = 16 cookies
So, Jane had 16 cookies left.
How many cookies did Jane's parents get if she gave them 3/4 of 16?
3/4 of 16 is the same as this:
16 × 3/4 = ?
First, multiply 16 by the numerator:
16 × 3 = 48
Then, divide the product we got by the denominator:
48 ÷ 4 = 12
✅ Jane gave 12 cookies to her parents.
Now, let's find out how many cookies Jane ate.
We know that Jane ate all the cookies that were left.
She had 16 cookies. Then, she gave 12 to her parents.
How many are left?
We need to subtract to figure this out:
16 - 12 = 4
✅ Jane ate 4 cookie
She baked 48 cookies in total as obtained by forming a numerical expression of the statement.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given that, Angela baked x cookies.
She gave 1/3 of them to her sister, and she put 5/8 of 5/8th of the remaining cookies in the freezer.
∴ x - (1/3)x - (2/3)×(5/8)x = 12.
x - (1/3)x - (5/12)x = 12.
(2/3)x - (5/12)x = 12.
(8x - 5x)/12 = 12.
3x = 144.
x = 48
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Find the area of each figure.
Answer:
1).6cm squared
2). 36 cm squared
3).787.5
(im not sure 3 is correct)
Step-by-step explanation:
The Pythagorean Theorem, given by the formula a^2+b^2=c^2, relates the three sides of a right triangle. Solve the formula for the positive value of a in terms of b and c.
Answer:
c=√a²b²
Step-by-step explanation:
The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².
The value of c is calculated as:-
a² + b² = c²
Reverse the equation to calculate a.
c² = a² + b²
Taking b² to the left side then the equation will become:-
a² = c² - b²
Taking square root on both sides of the equation.
[tex]\sqrt{a^2}=\sqrt{c^2-b^2[/tex]
[tex]a = \sqrt{c^2-b^2}[/tex]
Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
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h(x)=4log2(x−6)+1
All real numbers greater than____
[tex]\huge\underline\mathfrak\blue{Answer:-}[/tex]
The demoin is all real numbers greater than 6
The domain of the function is "All real numbers greater than 6".
What are logarithmic functions?Any exponential function may be represented in logarithmic form because logarithmic functions are the inverses of exponential functions.
The given equation is h(x) = 4log2(x-6) + 1.
The domain is the set of values that can be inserted into a function.
Note that the logarithmic of a negative number is not defined, therefore, the expression inside the log, x-6, must be greater than 0.
x - 6 > 0
x > 6
Hence, the domain of the function is "All real numbers greater than 6".
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The complete question is:
What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.
All real numbers greater than______
Item 3 Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inches. Amelie puts a piece of newspaper on the bottom of the cage. The newspaper fits the bottom of the cage perfectly. What is the area of the newspaper on the bottom of the cage?
Answer:
Step-by-step explanation:
The Volume of a rectangular prism is expressed as;
V = Base area * height of prism
Given
Volume of prism V = 7,280 cubic inches.
height of prism = 26in
Required
Base Area
Substitute the given parameter into the formula;
7280 = 26B
B = 7280/26
B = 280in²
Hence the area of the newspaper on the bottom of the cage is 280in²
Estimate the square root to the nearest integer.
Find the slope of the line through the points (10, 4) and (4, 15)
FIRST TO ANSWEEER GETS BRANLIEST PLZ HELP
Answer:
I think it's 11/6 I think so
is 350% of 34 less than 100, greater than 100 but less than 150, or greater than 150?
Answer:
greater then a hundred but less then 150
Step-by-step explanation:
I multilayered by 3.5
-3(10)+5x=26
Answer this please
Answer:
10%2B3x=26-5x Start with the given equation. 3x=26-5x-10 Subtract 10 from both sides. 3x%2B5x=26-10 Add 5x to both sides. 8x=26-10
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x^2+ 8x + 16
O A. X+ 8
O B. X+4.
O C. X-4
O D. X-8
A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40. How much is each pencil?
Answer:
9.85
Step-by-step explanation:
I subtract 17.40 and 7.55 to get 9.85 they just wanted to know how much the pencil cost not erasers.
The cost of each pencil is $1.15.
What is a system of equation?A system of equations is used when there are two variables, and you are given two pieces of information about how those variables are related.
Given that, A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40.
Let e represents eraser and p represents a pencil.
Establishing the equations,
3e+5p = 7.55
6e+12p = 17.40
Solving by elimination, we get,
p = 1.15
Hence, The cost of each pencil is $1.15.
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