Answer:
[tex]y=-\frac{5}{3}x-2[/tex]
Step-by-step explanation:
line equation in general y = mx + b
m is the slope, and
b is the y-intercept
3=-3m+b
-7=3m+b
if we plus this two equations
3-7=2b
2b=-4
b=-2
3m=b-3=-5
m=-5/3
So,
[tex]y=-\frac{5}{3}x-2[/tex]
Answer:
[tex]y=-\frac{5}{3} x+8[/tex]
Step-by-step explanation:
Slope= [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]
=[tex]\frac{3-(-7)}{-3-3}[/tex]
=[tex]\frac{10}{-6}[/tex]
=[tex]-\frac{5}{3}[/tex]
So [tex]3=-\frac{5}{3} *(-3)+b[/tex], b=8
So [tex]y=-\frac{5}{3} x+8[/tex]
please view attached image about angles (50 pts and brainliest)
Answer:
The value of X is 126. The angle of JML is 42
1. Measuing blood pressure is a vital process in determining a patient's immediate health
condition. If the systolic blood pressure exceeds 150mm Hg, the patient is considered to
have high blood pressure and medication may be prescribed. Assume that a patient's
systolic blood pressure reading during a given day follows a normal distribution with a
mean of 160mm Hg and a standard deviation of 20mm Hg.
(a) If 5 readings are taken at various times during the day, determine the probability that
the average blood pressure reading will be less than 150mm Hg and hence, fail to
indicate that the patient has a high blood pressure problem
(6) Determine the number of readings required so that the probability is at most 1% of
failing to detect that a patient has high blood pressure.
(20 marks)
Answer:
Step-by-step explanation:
145 mm hg
What is the distance between (4, - 7 ) and (4, 2)
Answer:
D = 9
Step-by-step explanation:
Answer: 9
Step-by-step explanation:
x1=4
y1=-7
x2=4
y2=2
distance = Sqrt(x2-x1)^2+(y2-y1)^2)
=sqrt((4-4)^2+(2-(-7)^2)
=sqrt(0)^2+(9)^2
= sqrt(81)
= 9
Find the value of the trigonometric ratio. Reduce the fraction when you can.
sin Z
Answer:
A.
Step-by-step explanation:
Recall, SOHCAHTOA.
Reference angle = Z
Opposite = 35
Adjacent = 12
Hypotenuse = 37
Sin Z = Opp/Hyp
Therefore,
Sin z = 35/37
A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.
Answer: ~31.3
first use the pythagorean theorem. a^2+(40)^2=50^2.
simply. a+1600=2500. subtract 1600 from both sides. a^2=900.
square root both sides to get a= 30
then find how far the top of the ladder is from the ground once in its new position.
a^2+(39)^2=50^2.
simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.
square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3
Answer:
Step-by-step explanation: iT'S 31.3
Complete the table.
Given: GHIJ is rhombus
Prove: ∠1≅∠3
Answer:
Step-by-step explanation
PLEASE HELP
do question 8 and 9
Answer:
x=7
x=4
x=1/9
Step-by-step explanation:
For number 9 you can either type out the work or say something like:
To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.
Answer and Step-by-step explanation:
8a.
3x + 6 = 27
Subtract 6 from both sides.
3x = 21
Divide 3 from both sides.
x = 7
8b.
6x + 3 = 27
Subtract 3 from both sides.
6x = 24
Divide 6 from both sides.
x = 4
8c.
27x + 3 = 6
Subtract 3 from both sides.
27x = 3
Divide 27 from both sides.
x = 3/27
Simplify the fraction
x = 1/9
9.
The above steps are the reasonings for the above answers.
Find the surface area of the prism.
Answer:
152 cm^2
Step-by-step explanation:
To calculate the surface area of this figure, we just need to calculate the surface area of each side and add the total.
Surface area of rectangle = length times width
4 * 8 = 32
Now, we need to multiply 32 by 4 because there are 4 of these rectangles. This yields a value of 128, and we can now find the surface area of the other rectangles:
Surface area of rectangle = length times width
4 * 3 = 12
Now, we need to multiply 12 by 2 because there are 2 of these rectangles. This yields a value of 24 and we can add 24 to 128 to get the total surface area of the prism. This means that the surface area of the prism is 152 cm^2
Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
Answer:
yes, yes, no
Step-by-step explanation:
28squared+34squared=2809 find the square root and it equals 53
4.5squared+6squared=56.25, square root equals 7.5
20squared+30 squared=1300, square root is 36.5, so its wrong
Which expression is equivalent to (-8x + 2) - (6x + 9)
Answer:
-14x-7
Step-by-step explanation:
[tex](-8x+2)-(6x+9)[/tex]
[tex]=-8x-6x+2-9[/tex]
[tex]=-14x-7[/tex]
Answer:
2x - 7
Step-by-step explanation:
Rewrite this expression without parentheses. Distribute that -1 across 6x and 9:
-8x + 2 - 6x - 9 = 2x - 7
Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?
It says 120 is wrong :(
9514 1404 393
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
help I will mark brainliest!
Answer: g
its g cause I solved it and got g
Answer:
The answer is G. Hope this helps!
In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?
Answer:
0.065 metric tons
Step-by-step explanation:
Given
65 kg
To find
Convert 65 kg to metric tons
Then, the answer is 0.065 metric tons
How much will Alice pay for carpet that costs $4.50 per square foot?
Answer:
$506.25.
Step-by-step explanation:
What is $45.79 multiplied by .50 equal
Answer:
686.85
Step-by-step explanation:
Answer:
$45.79 multiplied by .50 equals 22.895
What’s the 10th term to 18,12,8,...
Answer:
0.468
Step-by-step explanation:
Hope it helps
If the area of the triangles is 32 square centimeters, how long are the base and height?
Answer:
i think is 8 and 8
Step-by-step explanation:
(PLEASE HELP!!)
Find the perimeter and the area of the regular polygon below
Answer:
p = 20
a = 27.5
Step-by-step explanation:
The length of the bottom side is 4.
perimeter = 5 * 4 = 20
area = ½san
area = ½(4)(2.75)(5)
area = 27.5
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Answer:
The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Step-by-step explanation:
Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:
100 x 0.9 + 0 x 0.4 = 90
90 x 0.9 + 10 x 0.4 = 85
80 x 0.9 + 20 x 0.4 = 80
50 x 0.8 = 40
Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Find the distance between the two points where y = 3x + 12 crosses the coordinate axes
Answer:
4*sqrt(10)
Step-by-step explanation:
For y = 0: 3x = - 12 - - > x = -4, so A(-4,0)
For x=0: y=12, so B(0,12)
The distance between two points is given by:
[tex]d = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} }[/tex]
[tex]d = \sqrt{( - 4 - 0) {}^{2} + {(0 - 12)}^{2} } = 4 \times \sqrt{10} [/tex]
The distance between the two points where y = 3x + 12 crosses the coordinate axes is 4√10 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
The given function is y=3x+12.
When y=0, we get
0=3x+12
3x=-12
x=-4
When x=0, we get
y=3(0)+12
y=12
Now, distance between (-4, 0) and (0, 12)
= √(12-0)²+(0+4)²
= √(144+16)
= √160
= 4√10 units
Therefore, the distance between the two points where y = 3x + 12 crosses the coordinate axes is 4√10 units.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ2
Mr. and mrs. Brown bought a new kitchen table for $450. It was 75% of the original price. Determine the original price of the kitchen table.
Answer:
$600
Step-by-step explanation:
To find the original price, divide the cost by 0.75
450/0.75
= 600
So, the original price was $600
Answer: $600
Step by Step explaination:
how to round 64781 in thousands
Answer:
65000
Step-by-step explanation:
Just round the number
g(x) = 3x2 + 14x – 5?
Answer:
x= [tex]-\frac{1}{14}[/tex]
Step-by-step explanation:
im going to assume the 3x2 mean 3 times 2
simplify 2 1/2 times 3/4
Answer:
[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]
Answer:
15/8
Step-by-step explanation:
2.5/2 = 1.25
1.25/2 = 0.625
2.5 - 0.625 = 1.875
1.875 = 75/40 = 15/8
Find an equation in slope-intercept form of the line that has slope 2 and passes through point A(-3. - 1)
Answer:
Slope intercept form:
y = 2x + 5
Step-by-step explanation:
m = 2; (-3 , -1)
Slope point form : y - y1 = m(x - x1)
y - [-1] = 2(x - [-3])
y + 1 = 2(x + 3)
y + 1 =2x + 3*2
y + 1 = 2x + 6
y = 2x + 6 - 1
y = 2x + 5 This is in slope intercept form y =mx + b
Please help find the SURFACE AREA . Be geniune no links will mark Es brainlieèst
Answer:
1275yd²
Step-by-step explanation:
Select ALL the correct answers.
Which of the following statements are true about the equation below? x^2-6x+2=0
If x = 81, what is the value of x(x - 6)?
A.
6,075
B.
156
C.
7,047
D.
6,642
Answer:
A
Step-by-step explanation:
what’s the answer to these math problems?
Answer:
a1=4-2(1)
=4-2
a1=2
a2=4-2(2)
=4-4
a2=0
a3=4-2(3)
=4-6
a3=-2
a4=4-2(4)
=4-8
a4=-4
Find the final amount of money in an account if
$
7
,
200
is deposited at
6
%
interest compounded annually and the money is left for
6
years.
Answer:
$10,213.34
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r/n)^t
Given that;
P = $7,200
rate r = 6% = 0.06
Time t = 6years
n = 1
Substitute into the formula
A = 7200(1+0.06)^6
A = 7200(1.06)^6
A = 7200(1.4185)
A = 10,213.34
Hence the final amount is $10,213.34