Answer:
The slope of the line passing through the points (5, -5) and (7,3) is 4 . Use the slope formula to find the slope.
Write the point-slope equation for each line with the given slope and point. y –y1 = m(x – x1) Slope = 5 Point on line = (–1, 3)
Answer:
[tex]y-3=5(x+1)[/tex]
Step-by-step explanation:
Point-Slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - Slope
(x1, y1) - Point Coordinate
We are given the point of (-1,3) and the slope of 5.
Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}[/tex]
A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?
Answer:
3 meters per second.
Step-by-step explanation:
Change in elevation = distance / time
= 18/6
= 3 meters / second.
.
In bowling, knocking down all of the pins with the first ball of a frame is called a strike. Roni is practicing bowling and gets a strike times out of attempts. Her goal is to have a minimum strike rate of . Which inequality could Roni use to determine the minimum number of consecutive strikes she needs to achieve her goal?
Answer:
[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]
At least 6 strikes
Step-by-step explanation:
The required numerical data is missing from the question. In the original question, Roni gets a strike 2 out of 10 times and her goal is to have a minimum strike rate of 50%. The number of consecutive strikes required is given by the following inequality:
[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]
Solving the inequality:
[tex]0.5x+5 \leq x+2\\3\leq0.5x\\x\geq6[/tex]
Roni needs at least 6 strikes.
After 6 strikes, she would have 8 out of 16, which equals exactly 50%.
What is the slope of a line that is perpendicular to the line 2y – 3x = 8
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -3x=8
Add 3x to each side
2y-3x+3x= 8+3x
2y = 3x+8
Divide by 2
2y/2 = 3/2x +8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
Edmund makes a cube using eight small cubes. Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. How many more cubes does Samuel use than Edmund?
Answer:
Step-by-step explanation:
The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m
Each side of the cube made is 2m
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are
Length = 2 × 2 = 4m
Width = 3 × 2 = 6m
Height = 4 × 2 = 8m
Volume = length × width × height
Volume = 4 × 6 × 8 = 192 m³
Number of small cubes used is 192/1 {= 192
The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes
can i have some help please?
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°
7th grade math I need help pls
Answer:
A
Step-by-step explanation:
week 1: $56.92
week 2:-$16.54
-16.54-56.92=-73.46
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
find the length of side AB Give your answer to 1 decimal place
Answer:
First to find AB we use cosine
cos ∅ = Adjacent / hypotenuse
AB is the adjacent
BC is the hypotenuse
cos ∅ = AB/AC
cos 70 = AB / 8
AB = 8 cos 70°
AB = 2.736
AB = 2.7cm to one decimal place
Hope this helps
simplify 23p-7p what is the answer to the question which I desire
Answer:
16p
Step-by-step explanation:
23p-7p
Factor out p.
p(23-7)
Subtract the terms.
p(16)
Multiply.
= 16p
Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Answer:
m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°
Step-by-step explanation:
[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\
\therefore \angle BKA = 90\degree \\
In\:\triangle BKA, \\\\
\cos \angle A = \frac{AK}{AB}\\\\
\cos \angle A = \frac{3}{6}\\\\
\cos \angle A = \frac{1}{2}\\\\
\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\
\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]
Since, adjacent angles of a parallelogram are Supplementary.
[tex] \therefore \angle A + \angle B = 180\degree \\
\therefore 60\degree + \angle B = 180\degree \\
\therefore \angle B = 180\degree - 60\degree\\
\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]
Since, opposite angles of a parallelogram are congruent.
[tex] \therefore \angle C = \angle A
\\
\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\
\therefore \angle D = \angle B
\\
\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]
Which equation would you use to solve the problem," Four less than the product of 3 and a number is 15"
A) 3n - 4 = — 15
B) 3 (n - 4) = — 15
C) 4 - 3n = — 15
D) 4(3n - 4) = 15
Answer:
The correct option is a) 3n - 4 = 15
Step-by-step explanation:
The product of 3 and a number means 3 multiplied by a number (n)
So it'll be 3*n or simply 3n
Now, it says 4 less than the product
So 4 less than 3n
That is equal to 3n minus 4 or 3n -4
So we come to the conclusion that
3n - 4 = 15
Hope this helps!
YOOO PLZ HELP ASAP!!!
Answer:
Step-by-step explanation:
its B
Answer:
B
Step-by-step explanation:
FOR 15 POINTS Which is the solution to the equation 0.5 x + 4.2 = 5.9? Round to the nearest tenth if necessary. 0.9 3.4 5.1 20.2
Answer:
3.4
Step-by-step explanation:
0.5x+4.2=5.9
Subtract 4.2 from both sides:
0.5x=1.7
Divide both sides by 0.5:
x=3.4
Hope this helps!
What is the value of this expression
Answer:
157
Step-by-step explanation:
4(x2+3)-2y
4((-6)2+3)-2(-1/2)
4(36+3)-(-1)
4(39)+1
156+1
157
Answer:
157
Step-by-step explanation:
Question in the picture. PLS HELP!! THANKS + 30 POINTS + BRAINLIEST
Answer:
C. Lincoln Forest is at sea level
Step-by-step explanation:
Elevation above sea level is indicated for several points in the table
Positive number indicates points above, negative number indicates points below, zero elevation indicated points at sea level
So, the answer for Lincoln Forest is:
C. Lincoln Forest is at sea levelMrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answer:
Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
Step-by-step explanation:
Sorry ignore this
Answer:
Boys : Girls = 5 : 7
Jeff should find the number of girls at first.
Step-by-step explanation:
Boys - 10
Girls - 24 - 10 = 14
Boys : Girls = 10 : 14
Boys : Girls = 5 : 7
Jeff did not find the number of girls, he took the number of all students instead.
Five gallons of water need to be shared equally among 6 people. How many gallons of water will each person get?
Answer:
5/6
Step-by-step explanation:
To distribute the water equally, you divide the 5 gallons of H2O by 6 people. You will get the fraction 5/6 as your answer.
0.24731182795 to 1 Decimal Place
Answer:
0.2
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Mark the first decimal place
Examine the second decimal place and if it is lower than five we round down and vice versa
(Multiple Choice, 20 pts)
Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous solutions.
A. x = two thirds; 0 is an extraneous solution
B. x = 0; x = two thirds is an extraneous solution
C. x = 0 and x = two thirds
D. No solution
Answer:
B.
Step-by-step explanation:
Step 1: Cross-multiply
x² + 2x = 4x²
Step 2: Isolate x's
2x = 3x²
0 = 3x² - 2x
Step 3: Factor
x(3x - 2) = 0
Step 4: Find roots
x = 0, x = 2/3
Step 5: Double check answers.
When you do so, you should see that only x = 0 works. And we have our answer!
Answer:
its c man its c
Step-by-step explanation:
ASAP help plz❤️❤️❤️Urgent
Answer:
Answer to the first part is 2.5 hours.
Step-by-step explanation:
T = 150/60
= 2.5 hours
Best Regards!
Let f(x)=5x and g(x)= -x+1. Find f o g(ONLY 2 HOURS TO ANSWER!)
Answer: (b) -5x + 5
Step-by-step explanation:
f(x) = 5x g(x) = -x + 1
f(g(x)): g(x) = -x + 1 f(-x + 1) = 5(-x + 1)
= -5x + 5
Find the vertex of the graphed function. f(x) = |x − 4| + 3 The vertex is at (, ).
Answer:
(4, 3)
Step-by-step explanation:
Your vertex is at (h, k). h is 4 and k is 3 in the equation. Alternatively, you could graph this and trace the graph to find the vertex.
First Identify the Angle relationship, then solve for x.
Answer:
Corresponding Angles Theorem
x = -5
Step-by-step explanation:
Since they are corresponding angles, they are equal to each other.
x + 105 = 100
x = -5
What is the slope of the line on the graph below 1/5 1/3 3 or 5
Answer:
1/3
Step-by-step explanation:
We are given to find the slope of the line shown on the graph.
We note that
the line on the graph passes through the points (3, -4) and (6, -3).
The slope of a straight line passing through the points (a, b) and (c, d) is given by
m=\dfrac{d-b}{c-a}.m=
c−a
d−b
.
Therefore, the slope of the given line is
\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}
m=
6−3
−3−(−4)
⇒m=
3
−3+4
⇒m=
3
1
.
Thus, the required slope of the line is \dfrac{1}{3}.
3
1
.
Option (B) is CORRECT.
help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
Need help with 8-10 didn’t understand this
Answer:
8 is -5
9 is (-2,3)
10 is -10
Divide x^3 - x - 6 by x - 2
Answer:
x^2 +2x + 3
Step-by-step explanation:
x^3 - x -6 / x-2
Step one - FACTOR x^3:
(x-2)(x^2+2x+3) / x-2
Step two - CANCEL the common factor of x-2
x^2+2x+3
Evaluate 2^-4 pleaseee help asap
Answer:
1/16
Step-by-step explanation:
2^-4
We know that a^ -b = 1/ a^b
2^-4 = 1/2^4
2^4 =16
so 1/2^4 = 1/16
Answer:
2 ^-4 = 1/16
Step-by-step explanation:
2^-4 = 1/2^4
2^4 =16
so 1/2^4 = 1/16
Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.