Answer:
[tex]\boxed {\boxed {\sf y=-7x-9}}[/tex]
Step-by-step explanation:
Since we are given a point and the slope, we should use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where (x₁, y₁) is the point the line passes through and m is the slope.
We know the line passes through the point (-3, 12) and the slope is -7. Therefore,
x₁= -3 y₁= 12 m= -7Substitute the values into the formula.
[tex]y-12=-7(x--3)[/tex]
Remember that 2 back to back negative signs become a positive.
[tex]y-12=-7(x+3)[/tex]
Now we have to put the equation in slope-intercept form, or y=mx+b. Therefore, we need to isolate the variable y on one side of the equation.
First, distribute the -7. Multiply each term inside the parentheses by -7.
[tex]y-12=(-7*x)+ (-7*3) \\y-12= (-7x)+(-21) \\y-12= -7x-21[/tex]
12 is being subtracted from y. The inverse operation of subtraction is addition. Add 12 to both sides of the equation.
[tex]y-12+12=-7x-21+12\\y= -7x-21+12\\y=-7x-9[/tex]
The equation of the line is y=-7x-9
Help if you can!! I really need some good grades or I will fail on this and that wont help anything.
Answer: 6 1/8
Step-by-step explanation:
Each x on the line represents one piece of string that long. For example, since there is one x at 1/8, she cut one piece of string 1/8 ft long. So you take all the values and add them up:
1/8+2/4+2/4+2/4+2/4+5/8+3/4+3/4+7/8
then find a common denominator (so make everything over 8)
1/8+4/8+4/8+4/8+4/8+5/8+6/8+6/8+7/8 = 41/8
when you divide this, you will get 5 1/8
since theoriginal problem says she still has 1 foot leftover, you add one to get the total value when she started.
So, Emma had 6 1/8 ft string originally
If there are 23 students in your class, and your teacher is pulling random names from a hat, what is the probability that your name will be pulled on the third pull?
3/21
3/23
1/23
1/21
If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23
should i buy airpods pro or apple watch series 3 give three pros and cons each PLEASE I NEED HELP
Answer: JUST DO IT!
Step-by-step explanation:
Select the approximate solution to the equation
Answer:
Step-by-step explanation:
hello : x = -0.75
What is the area of a
circle that has a radius of 4
inches? (Use 3.14 for pi.)
HELP ASAP
Answer:A≈50.27in²
Step-by-step explanation:
can someone please help me solve this, ASAP!
Find the volume of the given prism. Round to the nearest tenth if necessary.
1 m
34
8.5 m
17 m
Question 2 (4 points)
Given:
The base of the prism is a right triangle with legs 1 m and 2 m.
The height of the prism is 17 m.
To find:
The volume of the given prism.
Solution:
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of base of the prism is:
[tex]Area=\dfrac{1}{2}\times 1\times 2[/tex]
[tex]Area=1[/tex]
Now, the volume of the prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Substituting [tex]B=1,h=17[/tex], we get
[tex]V=(1)(17)[/tex]
[tex]V=17[/tex]
The volume of the prism is 17 cubic m. Therefore, the correct option is (d).
How do i do this? With steps pleaseeeeeeeeeee thank youuu
Answer:
110°
Step-by-step explanation:
Since angle B is 30° and the ratio of a to b is 2:1, multiply 30 by 2 to get the measure of angle a = 60°.
Since angles a is 60° And the ratio of a to c is 3:1, divide 60 by 3 to get the measure of angle c = 20°.
add them up:
60 + 30 + 20 = 110°
Which is a graph of y= -2x + 3?
Answer:
B (or top right)
Step-by-step explanation:
The equation is written using the y = mx + b format.
m = slope
b = y-intercept
Rectangle ABCD with vertices A(-8,6), B(-2,8), C(-1,5), and D(-7,3) is reflected over the y-axis. What are the new points?
The spinner shown is divided into congruent sections that each contain a number. If the spinner is spun one time, what is the probability of NOT landing on a 1?
==========================================================
Explanation:
There are 12 sections total. It might help to picture the circle split into quarters, and then each quarter is split into three pieces, giving 4*3 = 12 slices total. Or it might help to think of numbers on a round clock face.
Of these 12 sections, we have the value "1" show up exactly 4 times. That means the other values show up 12-4 = 8 times. The probability of not landing on "1" is therefore 8/12 = 2/3.
Side note: Divide both parts of 8/12 by the GCF 4 to reduce the fraction.
Can someone help me out real quick?
Answer:
It would be:
[tex]2.11 \times {10}^{8} [/tex]
Step-by-step explanation:
You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.
Can someone please do this? I need it bad
Answer:
this pdf is not downloading .
no idea what to do now .
can you give question on comments
Xavier is a new student, explain to him what a variable is. Use complete sentences.
Answer:a symbol, usually a letter, used to represent a number.
Step-by-step explanation:
a math process (like adding, subtracting, multiplying, or dividing)
hii can you help me please
Step-by-step explanation:
a. false
b.true
c.false
d. false
Answer:
a. False
b. True
c. True
d. False
Step-by-step explanation:
AThe formula for the area of a trapezoid treats the distance between the parallel sides as the height. Doing this lists the height as 4m.
BYou can separate a trapezoid into a rectangle with a width of 3 and a height of 4, as well as a right triangle with a width of 2 and a height of 4.
CThis expression is the written out portion of separating the trapezoid into a triangle and rectangle.
(3 * 4) represents the rectangle and (1/2 * 2 * 4) represents the triangle.
DThe area as found by the accurate expression in part C is 16.
Solve the system with substitution
72 +10y = 36
y = 2x + 9
Answer:
x= -63 y= -117
Step-by-step explanation:
72+10(2x+9)=36
72+20x+90=36
162+20x=36
20x=-126
×= -63
y= 2(-63)+9
y=-126+9
y= -117
Compare |−5| and |3|.
Answer:
|-5| > |3|
because the absolute value of -5 is five which is greater than 3
Rhondas test score was 75%. if there were 48 items on the test ,how many did she awnser correctly
Answer:
36 problems correctly
Step-by-step explanation:
48*.75
Answer:
36
Step-by-step explanation:
1/5(15+10k)
PLSSSSSSSSSS
Answer:
10k+15/5
Step-by-step explanation:
The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value of k.
Given:
The equation is:
[tex]3x-8y=k[/tex]
It cuts the x-axis and y- axis at the point A and B respectively.
The area of ∆AOB =12 sq.units.
To find:
The value of k.
Solution:
We have,
[tex]3x-8y=k[/tex]
Substituting [tex]x=0[/tex] to find the y-intercept.
[tex]3(0)-8y=k[/tex]
[tex]0-8y=k[/tex]
[tex]y=\dfrac{k}{-8}[/tex]
[tex]y=-\dfrac{k}{8}[/tex]
Substituting [tex]y=0[/tex] to find the x-intercept.
[tex]3x-8(0)=k[/tex]
[tex]3x-0=k[/tex]
[tex]x=\dfrac{k}{3}[/tex]
Area of a triangle is:
[tex]A=\dfrac{1}{2}\times base\times height[/tex]
The height of the ∆AOB is [tex]OB=\dfrac{k}{8}[/tex] because distance cannot be negative and the base of the ∆AOB is [tex]OA=\dfrac{k}{3}[/tex]. So, the area of the ∆AOB is:
[tex]A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}[/tex]
[tex]A=\dfrac{k^2}{48}[/tex]
It is given that, the area of ∆AOB = 12 sq.units.
[tex]\dfrac{k^2}{48}=12[/tex]
[tex]k^2=576[/tex]
[tex]k=\pm \sqrt{576}[/tex]
[tex]k=\pm 24[/tex]
Therefore, the value of k is either 24 or -24.
How would you find the last remaining two angles of a right triangle? Prove your understanding by finding the measures of the acute angles of an 8-15-17 right triangle.
Answer:
The other 2 angles are 28 and 62 degrees.
Step-by-step explanation:
The sum of all the angles of a triangle is always equal to 180 degrees.
If two angles are known the third can be found out.
A right angled triangle always has an angle equal to 90 degrees.
If the base is 15 and the perpendicular is 8 and the hypotenuse is 17
then
Tan theta= Perpendicular/base
Tan theta= 8/15
theta = tan⁻¹ 8/15
theta = 28.072
The third angle is 28 degrees which is less than 90 degrees and is acute
This can also be obtained by
cos theta= base / hypotenuse
cos theta= 15/17
theta= cos⁻¹ 15/17
theta= 28.072
Now summing up
90+ 28 + x= 180
x= 180-118
x= 62
The third angle is 62 degrees which is also less than 90 degrees.
Please!!!!!!!
Can someone please help me with this question.
The answer choices are in the picture right along with the question.
I will mark the first person brainliest if they answer with an actual answer not a link.
Answer:
B.
Step-by-step explanation:
In how many ways can 3 red balls , 4 blue balls and
5 white balls be selected from 5 red balls, 5 blue
balls and 7 white balls ?
Answer:
1050 ways
Step-by-step explanation:
Total Number of red balls = 5
Total Number of blue balls = 5
Total Number of white balls = 7
Number of red balls selected = 3
Number of blue balls selected = 4
Number of red balls selected = 5
Using the multiplication and combination relation :
nCr * nCr * nCr
Red balls = 5C3
Blue balls = 5C4
White balls = 7C5
Using calculator:
5C3 * 5C4 * 7C5 = 10 * 5 * 21
(10 * 5 * 21) = 1050 ways
Which expression is equivalent to 173-10+3(25+1)?
238-9
238-7
118-7
118-9
Answer:
Step-by-step explanation:
173-10+3(25+1)=241
238-9=229
238-7=231
118-7=111
118-9=109
20 points! It's urgent! Pls help me its due in 5 minutes!!!
Answer:
A, f = 4
Step-by-step explanation:
f + 8 ≤ 12
-8 -8
f ≤ 4
Answer:
The answer is 4
Step-by-step explanation:
this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12
Jane used a Venn diagram to sort shapes. Select a plane shape that belongs inside the overlap region of the diagram.
Answer:
c
Step-by-step explanation:
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
Examine the balanced equation for the reaction between lead(I) nitrate and sodium chloride.
Pb(NO3)2 + 2NaCl → 2NaNO3 + PbCl2
If 10.0 g of sodium chloride react with excess lead(II) nitrate, what mass of lead(II) chloride will be produced?
0 20.8 g
O 23.8 g
O 47.68
O 95.28
dividing radicals
Simplify
[tex]\mathbb{ANSWER:}[/tex]
[tex]\sf \frac{-3-\sqrt{2} }{3\sqrt{17} }[/tex]
[tex]\sf = \frac{-3-\sqrt{2} }{3\sqrt{17} } \cdot \frac{\sqrt{17} }{\sqrt{17} }[/tex]
[tex]\sf = \boxed{\sf \frac{-3\sqrt{17} - \sqrt{34} }{51} }[/tex]
Hey can you help me fast!!
(PS. I used to HATE i-ready)