Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The point (-1, 5)Slope m = -7substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
y = -7x-2Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?
Answer:
Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.
A basketball player scored 33 points in one game.
So a + 2b + 3c = 33
He scored four more 2-point baskets than he did 3-point baskets.
So b = c + 4
The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.
So a = b + c
and since b = c + 4,
a = (c + 4) + c = 2c + 4
Substituting in a + 2b + 3c = 33,
(2c + 4) + 2 * (c + 4) + 3c = 33
which simplifies to
7c + 12 = 33
So c = 3, b = 7, a = 10
Answer:
The system of equations in standard form that models this situation are:
2x+3y=33
x-y=4
The school that Scott goes to is selling tickets to the annual dance
competition. On the first day of ticket sales the school sold 2 adult
tickets and 14 child tickets for a total of $164. The school took in
$130 on the second day by selling 5 adult tickets and 7 child tickets. What is the price of one adult ticket?
Select the correct answer. What is the solution of
[tex] \frac{5}{2}x - 7 = \frac{3}{4}x + 14[/tex]
A. x = -6
B. x = 6
C. x = 8
D. x = 12
Answer:
Option D
Step-by-step explanation:
[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]
[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]
[tex] = > \frac{7x}{4} = 21[/tex]
[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]
I need help please and thank you.
Answer:
AC is 7 feet Because it is just a foot above AB
PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box
Answer:
4
Step-by-step explanation:
z = [tex]\frac{6}{15}[/tex] × 10
= 4
pls help
The bird flew 7.2 kilometers. How many miles did it fly?
1 mi = 1.6 km
12 mi
2.8mi
4.5 mi
5.1 mi
Point K is on line segment \overline{JL} JL . Given JK=2x-2,JK=2x−2, KL=x-9,KL=x−9, and JL=2x+8,JL=2x+8, determine the numerical length of \overline{KL}. KL .
Answer:
KL = 10
Step-by-step explanation:
Point K is on line segment \overline{JL} JL . Given
JK=2x−2
JL=2x+8
KL=x-9
JL = JK + KL
Hence:
2x + 8 = 2x - 2 + x - 9
2x + 8 = 2x + x - 2 -9
2x + 8 = 3x - 11
Collect like terms
3x - 2x = 8 + 11
x = 19
We are to find the numerical length of KL
KL = x - 9
KL = 19 - 9
KL = 10
Write the equation of the line in slope-intercept from:
1. Point:(2,3) slope: 4
2. Point:(1,4) slope:-2
3. Point:(-2,5) point:(0,3)
4. Point:(7,0) point:(3,-3)
If you do this, you’ll be the greatest person in the world!
Answer:
1. 4x - 5
2. -2x + 6
3. x + 3
4. 4/3x - 5
Step-by-step explanation:
I used a calculator and my math skills :)
Pls help and show workings
Answer: x = 15
Step-by-step explanation:
same thing. here's my work:
4x - 5 = 3x + 10
4x - 5 (+ 5) = 3x + 10 (+ 5)
4x = 3x + 15
4x (- 3x) = 3x (- 3x) + 15
x = 15
What is the value of x^2 – 3 when the value of x is 4?
Answer: the value is 13
Step-by-step explanation:
we simply substitute the letter for the number 4.
4^2 - 3
16 - 3
13
Answer:
13
Step-by-step explanation:
The number 24 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
2,3,4, and 6
Step-by-step explanation:
All of these answers are factors of 24. 2 times 12 is 24, 3 times 8 is 24, and 4 times 6 is 24. Therefore, 24 is divisible by these 4 numbers.
Write an expression for the perimeter in simplest form.
A) 3x + 3
B) 3x3 + 18
C) 3x + 9
D) 3x + 5
The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
could someone please help me with this
Answer: i think it would be D
Step-by-step explanation:
Which statements are true regarding triangle LMN? Check all that apply.
Answer:A,C,E
Step-by-step explanation:I took the quiz
Answer:
its right ACE
Step-by-step explanation:
A soccer field is 100 meters long. What could be its length in yards? 33.3 91 100 109 Explain your thinking.
Iris takes her clothes to the laundromat every 6 days, and
Eddie takes his clothes to the laundromat every 8 days? They
both go to the laundromat today.
How many days pass until the next time they take their clothes to
the laundromat on the same day again
23 days would pass by and they would both go to the laundromat on the 24th day.
Can you please help me I am struggling so much. what does n equal in this equation?
-6 > n/15
Answer:
n < − 90
Step-by-step explanation:
hope this helps and have a great day!
Which price is equivalent to $1.50 for 1 pound of apples?
A.. 6 pounds of apples for $9
B..8.5 pounds of apples for $9
C..9 pounds of apples for $9
D..13.5 pounds of apples for $9
What is the equation of the line that passes through (4,3) and (2, -1)?
y = 6x+4
y = 1/2 x -2
y = 2x-5
y = 4x -13
c
you need to find the slope and then y intercept
m=y2-y1/x2-x1
so m=2
now y intercept
3=2(4)+b
solve for b
u get -5
therefore
y=2x-5
what is 1+1 please help
I need help with solving for y
Answer:
y = [tex]-\frac{5}{3}[/tex] x + 5
Step-by-step explanation:
Solve an equation for a variable mean to leave that variable on one side of that equation by itself.
5x + 3y = 15
5x + 3y - 5x = 15 - 5x
3y = - 5x + 15
[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]
y = [tex]-\frac{5}{3}[/tex] x + 5
Please help I need it fast
Answer:
J
Step-by-step explanation:
-11=4(-3)+1
-3 =4(-1)+1
1 =4(0)+1
9 =4(2)+1
13=4(3)+1
21=4(5)+1
Hi whats up like my drawing
Answer:
noice, i could never draw like that, it's really good
What is the area of the semi circle if the diameter is 10 cm
Answer:
39.25 cm
Step-by-step explanation:
The formula for a circle is pi x radius x radius.
So to get the radius, you multiply 10 and 1/2. You should get 5. Then you multiply 5 by 5. You should get 25.
Then you multiply 3.14 and 25. You should get 78.5.
The last step is to divide 2 by 78.5. You should get 39.25
Answer:
39.25 cm
Step-by-step explanation:
A = 3.14 x r^2 / 2
if the diameter is 10 then the radius is 5
A = 3.14 x 5^2 / 2
A = 3.14 x 25 / 2
A = 78.5 / 2
A = 39.25
-10\left(-\frac{1}{2}+\left(-\frac{7}{2}\right)+7y=25
Answer:
[tex]y=\frac{47}{14}[/tex]
Step-by-step explanation:
Given
[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]
Required
Solve for y
[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]
Open brackets
[tex]\frac{10}{2}-\frac{7}{2}+7y=25[/tex]
Collect Like Terms
[tex]7y=25 -\frac{10}{2}+\frac{7}{2}[/tex]
Take L.C.M
[tex]7y=\frac{50-10+7}{2}[/tex]
[tex]7y=\frac{47}{2}[/tex]
Divide both sides by 7
[tex]y=\frac{47}{2*7}[/tex]
[tex]y=\frac{47}{14}[/tex]
Find the holes
[tex]f(x)=\frac{x}{x+2}[/tex]
Answer:
x = - 2Step-by-step explanation:
The "holes" are the x-es where function doesn't exist.
One must not divide by 0, so given function doesn't exis if the denominator is equal 0
x + 2 = 0
x = - 2
PLEASE HELP HOW DO I SOLVE THIS?
12 + 7c = 103
Answer:
13
Step-by-step explanation:
7c=103-12
7c=91
c=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
12+7c=103 Equation/Question
Step 2
12+7c=103 Simplify
Step 3
12+7c=103 Subtract 12
7c=91
Step 4
7c=91 Divide both sides
answer
c=13
Hope this helps
what ratiois equivalent to the ratio 7 : 350
Answer:
14: 700
Step-by-step explanation:
First you must ad or multiply each part of your ratio multiple times.
This was the next number in the ratio outlook.
I multiplied 7x2
Then 350x2
which got me the ratio 14:700
Write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator 16 cm to 20 cm
The solution is 4 : 5
The ratio of the fraction is 4 : 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be A
Now , the value of A is = 16 cm
Let the second number be = B
The value of B is = 20 cm
The ratio of A and B is calculated as C
where C = A / B
A goes to the numerator of the fraction and B to the denominator
Substituting the values in the equation , we get
C = A/B
C = 16/20
On simplifying the equation , we get
C = 4/5
Therefore , the value of C is 4 : 5
Hence , the value of equation is 4 : 5
To learn more about equation click :
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