Answer:
5/4
Step-by-step explanation:
slope = rise/run
slope=y2-y1/x2-x1
slope=9-(-1)/15-7=10/8=5/4
So the answer is 5/4.
Answer:
5/ 4
Step-by-step explanation:
slope of a line is the rate of change of y co-ordinates with respect to the change in x co-ordinates.
therefore,
[tex]slope = \frac{9 - (-1}{15-7) } \\ = \frac{10}{8} \\ = \frac{5}{4} [/tex]
as we were given 2 points the rate of change of x and y co-ordinates will be equal to the difference between the values of each for the two points.
n a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?
Answer:
The number of correct answers is 28
Step-by-step explanation:
The value of a correct answer = +3
The value of a wrong answer = -1
The number of questions Ramesh answered = All the questions
The number of mistakes in the question = 5,
Let x represent the number of correct answers therefore, we get;
+3 × x + (-1) × 5 = 79
∴ x = (79 - (-1) × 5)/+3 = 28
The number of correct answers, x = 28
The angle of elevation of a tree at a distance of 10m from the foot of the tree is 43°. Find the height of the tree
Answer:
9.32m is the height of. the tree from the ground.
please someone explain this
Answer: 68
Step-by-step explanation: Complementary angles are angles that add up to 90. So, you need to do 90-22=68.
Helppppp pls and thankyouuu
Answer:
20 minutes on the stationary bike
10 minutes on the treadmill
Step-by-step explanation:
x = minutes on bike
y = minutes on treadmill
x + y = 30
12x + 15y = 390
x = 30-y
12(30-y) + 15y = 390
360 - 12y + 15y = 390
3y = 30
y = 10
x + 10 = 30
x = 20
The value of the expression 10 - 1/2^4 x 48
A = 2
B = 4
C = 5
D = 7
Answer:
option d is correct answer
The sum of two numbers is -5 and their difference is -1. Find the two
numbers.
Answer:
x=-3 and y=-2
Step-by-step explanation:
let the numbers be x and y
x+y=-5
x-y=-1
therefore x=-5-y
-5-y-y=-1
-2y=-1+5
-2y=4
y=-2
×=-5-(-2)
x=-5+2
x=-3
Answer: -2 and -3
Step-by-step explanation:
Number #1 = xNumber #2 = yx + y = -5
x - y = -1 -> x = y - 1
(y - 1) + y = -5
y - 1 + y = -5
2y = 1 - 5
2y = -4
y = -2
x = y - 1 = -2 - 1 = -3
Find x and y
Help me please
Answer:
x = 70 y = 140
Step-by-step explanation:
Apologies if I get any names of vocabulary terms wrong, I never pay much attention to the names.
The central angle measure of an arc is the same as the arc's measure. In this case, y is the central angle and 140 is the arc's measure, so y = 140.
The inscribed angle measure of an arc is 1/2 the arc's measure. An inscribed angle lies on the circle. So 140/2 = 70 = x.
Evaluate the question in the photo attached please. ASAP
Activity 5: COMPARE US! Write an inequality relating the given pair of angles or segment measures. Complete each statement by choosing <, =, or >.
Answer:
1. LM < PN
2. AD < DC
3. m<CAB < m<CBA
4. m<1 = m<2
Step-by-step explanation:
Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.
1. LM is opposite to <LNM,
PN is opposite to <NLP
m<LNM is less than m<NLP, therefore,
LM < PN
2. AD is opposite to <ABD
DC is opposite to <DBC
m<ABD is less than m<DBC, therefore,
AD < DC
3. m<CAB is opposite to CB
m<CBA is opposite to CA
CB is less than CA, therefore,
m<CAB < m<CBA
4. The side opposite to <1 is congruent to the side opposite to <2.
Therefore,
m<1 = m<2
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
06
09
O 10
12
Answer:
10
Step-by-step explanation:
last year he planted 12.
1/3 of that is 12/3 = 4.
6 more than that is 4 + 6 = 10.
Answer: C.) 10
Step-by-step explanation:
HELP. Drag the tiles to the correct boxes to complete the pairs.
Match each product of complex numbers with its value.
Answer:
[tex]i^{2} (2i^{2} -5)[/tex]
[tex]2i^{2} \times i^{2} -5i^{2}[/tex]
[tex]2(-1)(-1)-5(-1)[/tex]
[tex]2+5[/tex]
[tex]=7[/tex] [tex]i^{2}(2i-5)[/tex]
------------------
[tex]i^{2} (3+i^{2} )[/tex]
[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]
[tex](-1)3+(-1)(-1)[/tex]
[tex]-3+1[/tex]
[tex]-2[/tex] [tex]=i^{2} (3+i^{2} )[/tex]
---------------------
[tex]2i(2i-i^{3} )[/tex]
[tex]2i\times 2i-i^{3} \times2i[/tex]
[tex]4i^{2} -2i^{4}[/tex]
[tex]4(-1)-2(1)[/tex]
[tex]-4-2=[/tex]
[tex]-6=2i(2i-i^{3} )[/tex]
-------------------
[tex]i(4i^{3} -i)[/tex]
[tex]4i^{3} \times i-i\times i[/tex]
[tex]4i^{4} -i^{2}[/tex]
[tex]4(1)-(1)[/tex]
[tex]4+1=5[/tex]
--------------------
ANSWER:
[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]
[tex]5\Longrightarrow i(4i^{3} -i)[/tex]
[tex]7\Longrightarrow i^{2} (2i-5)[/tex]
[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]
----------------------------
Hope it helps...
Have a great day!!
If you have 6 periods per day at school and math is 1 of them, what percentage of your school day is spent in math?
Answer:
16.67% of your day is spent in math class.
Step-by-step explanation:
The total would be 100% and then since you have 6 periods we divide 100 by 6 to get 16.67%. So 16.67% of your day is spent in math class.
A calculator requires a keystroke assembly and a logic circuit. Assume that 83% of the keystroke assemblies and 88% of the logic circuits are satisfactory. Assuming that defects in keystroke assemblies are independent of defects in logic circuits, find the probability that a finished calculator will be satisfactory. Group of answer choices
Answer:
0.7304
Step-by-step explanation:
According to the Question,
Given That, A calculator requires a keystroke assembly and a logic circuit. Assume that 83% of the keystroke assemblies and 88% of the logic circuits are satisfactory.We have,
P(keystroke satisfactory) =0.83 , P(logic satisfactory)= 0.88
Assuming that defects in keystroke assemblies are independent of defects in logic circuitsSince the events are independent. So, the probability that a finished calculator will be satisfactory
⇒ 0.83×0.88
⇒0.7304
Let $S$ be the set of points $(a,b)$ in the coordinate plane, where each of $a$ and $b$ may be $-1$, 0, or 1. How many distinct lines pass through at least two members of $S$
Answer:
20 Lines
Step-by-step explanation:
According to the Question,
Given That, Let S be the set of points (a, b) in the coordinate plane, where each of a and b may be -1, 0, or 1.Now, the total pairs of points which can be formed is 9
And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36
Here, We have overcounted all of the lines which pass through three points.
And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times
Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.
Therefore, the distinct lines pass through at least two members of S is 3 horizontal, 3 vertical, and 2 diagonal lines, so the answer is 36 - 2(3+3+2) = 20 LinesFOR EASY BRAINLIEST ANSWER QUESTION BELOW!
1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition
Answer:
28
Step-by-step explanation:
Which of the following are valid (necessarily true) sentences? a. (∃x x = x) ⇒ (∀ y ∃z y = z). b. ∀ x P(x) ∨ ¬P(x). c. ∀ x Smart(x) ∨ (x = x)
Answer:
b; ∀x P(x) ∨ ¬P(x)
Step-by-step explanation:
Suppose that we have a proposition p
Such that p can be true or false.
We can define the negation of p as:
¬p
Such that, if p is false, then ¬p is true
if p is true, then ¬p is false.
Also remember that a proposition like:
p ∨ q
is true when, at least one, p or q, is true.
Then if we write:
p ∨ ¬p
Always one of these will be true (and the other false)
Then the statement is true.
And if the statement depends on some variable, then we will have that:
p(x) ∨ ¬p(x)
is true for all the allowed values of x.
from this, we can conclude that the statement that is always true is:
b; ∀x P(x) ∨ ¬P(x)
Where here we have:
For all the values of x, P(x) ∨ ¬P(x)
Lines L and M are parallel.
Help I’ll make u brainliest if it’s right!!
Answer:
∠3 = 142°
Step-by-step explanation:
L // M
∠2 = 38° {Corresponding angles are congruent}
∠2 + ∠3 = 180 {Linear pair}
38 + ∠3 = 180
∠3 = 180 - 38
∠3 = 142°
the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38
Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|
Answer:
I don't know I don't know about question
Lim x->-5(((1)/(5)+(1)/(x))/(10+2x))=
correct answer 1/10x = -1/50
explain:
Given:
The limit problem is:
[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]
To find:
The value of the given limit problem.
Solution:
We have,
[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]
It can be written as:
[tex]=lim_{x\to -5}\dfrac{\dfrac{x+5}{5x}}{2(5+x)}[/tex]
[tex]=lim_{x\to -5}\dfrac{x+5}{5x}\times \dfrac{1}{2(5+x)}[/tex]
[tex]=lim_{x\to -5}\dfrac{1}{5x\times 2}[/tex]
[tex]=lim_{x\to -5}\dfrac{1}{10x}[/tex]
Applying limit, we get
[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{10(-5)}[/tex]
[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{-50}[/tex]
Therefore, the value of given limit problem is [tex]-\dfrac{1}{50}[/tex].
PLISSSSSSSS HELPPPPPP!!!!!!
i will give brainliest
Helpppppppppp ASAP pls and thankyouu
Answer:
1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;
Linear
Shade is above the line
2. The graph of the inequality, y ≤ │x│ - 3, created with MS Excel is attached showing the following characteristics
Linear
Shade is below the line
3. The graph of the inequality, y < x² - 4, created with MS Excel s attached showing the following characteristics;
Quadratic
Shade below the line
Step-by-step explanation:
If trstan has a pickup truck that could carry 7/4 cord of firewood, FInd the number trips needed to cary 63 cords of wood
Answer:
36
Step-by-step explanation:
63/(7/4) 63 divided by 7/4
63* 4/7 63 multiplied by 4/7
=36 answer is 36
PLEASE I NEED HELP WITH THIS ONE
Answer:
H
Step-by-step explanation:
When h=0,t=45.
so we can exclude F.
When h=10,t=15.
only H satisfiy the condition.
Answer:
H
The line shows an inverse proportionality between temperature and time:
[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]
Slope or change:
[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]
y-intercept:
[tex]c = 45[/tex]
General equation:
[tex]y = - 3x + 45[/tex]
If a = 7, what is the value of the expression 2(a + 8)?
Answer:
[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]
please mark as brainliest
x + y = 3, 4y = -4x - 4
System of Equations
Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?
(B * 7 ) - (36 * 4) = 184
7B + (36 * 4) = 184
184 - (36 * 4) = B/7
184/4 = B * 7
Answer:
7B + (36 * 4) = 184
Step-by-step explanation:
In a family restaurant there are 36 tables and 7 booths.
Each table can seat 4 people.
Let the number of people who can be seated in a booth be represented by B.
Total seating capacity of the restaurant is 184 people.
Expressing this as an equation:
Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184
William needs to work out the size of angle Y in this diagram
One of William’s reasons are wrong.
Write down the correct reason.
Answer:
because internal staggal angles are equal
Step-by-step explanation:
The first reason is wrong.
Angle EGH and DEG are internal staggal angles:
the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.
{the definition of internal staggal angle}
Please help me w the answer
Answer:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Step-by-step explanation:
In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.
The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:
[tex]\frac{()}{(x-4)(x-5)}[/tex]
The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled
[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]
Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:
[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]
what is the product of the prime factors of 24
Answer:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3. A good way to check the result is to multiply it out and make sure the product is 24.
Step-by-step explanation:
Given: triangle RST is circumscribed about circle A.
m∠APT = _____°
Answer:
90
Step-by-step explanation:
From the given drawing, we have;
ΔRST is circumscribed about circle A
The center of the circle A = The point A
The line RT = A tangent to the circle A
The radius to the circle A = The line AP
According to circle theory, a line which is tangent to a circle is perpendicular to the radius of the circle drawn from the point of tangency
Where two lines are perpendicular to each other, then the angle formed between them = 90°
The angle formed between a tangent and the radius of the circle = m∠APT
Therefore;
m∠APT = 90°