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
Select the approximate solution to the equation
Answer:
Step-by-step explanation:
hello : x = -0.75
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.
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.
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.
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)
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.
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:
Hey can you help me fast!!
(PS. I used to HATE i-ready)
1/5(15+10k)
PLSSSSSSSSSS
Answer:
10k+15/5
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
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.
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
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
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°
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).
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:
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
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
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:
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
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
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?
Compare |−5| and |3|.
Answer:
|-5| > |3|
because the absolute value of -5 is five which is greater than 3
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]
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:
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
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
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:
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
can someone please help me solve this, ASAP!