Answer:
[tex]y = \frac{5}{3} x - 5[/tex]
Step-by-step explanation:
To write an equation in the slope-intercept form, we need the slope (which can also be calculated) and at least a coordinate.
What is slope-intercept form?
y= mx +c, where m is the slope and c is the y-interceptWhen the coefficient of y is 1, and all the other terms are on the right-hand side of the equationx- intercept occurs at y= 0 while y-intercept occurs at x= 0. With this information, let's write out the two coordinates given.
(3, 0) and (0, -5)With two coordinates, we can calculate the slope using the equation below.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
[tex]slope = \frac{ - 5 - 0}{0 - 3} [/tex]
[tex]slope = \frac{ - 5}{ - 3} [/tex]
[tex]slope = \frac{5}{3} [/tex]
Substitute the value of the slope into m in the equation.
[tex]y = \frac{5}{3} x + c[/tex]
Given that the y-intercept is -5, c= -5.
[tex]y = \frac{5}{3} x - 5[/tex]
Which orders pair is the solution to the system of equations
Answer: C) (12, -14)
Step-by-step explanation:
I am going to solve by elimination.
Start by subtracting one equation from the other
[tex]y=-x-2\\-(y=-\frac{1}{2} x-8)\\0=-\frac{1}{2} x+6[/tex]
Now solve for x
[tex]0=-\frac{1}{2} x+6\\0-6=-\frac{1}{2} x+6-6\\-6=-\frac{1}{2} x\\(-6)(-2)=(-2)(-\frac{1}{2} x)\\12=x[/tex]
Now sub in x into one of the equations to find the value of y
[tex]y=-(12)-2\\y=-14[/tex]
In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to angle φ has a length of 49.5 meters, and the hypotenuse has a length of 57.4 meters. What is the value of cot(φ)?
1.979
1.707
0.586
1.160
The right triangle with sides 29m, 49.5m and 57.4 m has the value of cot φ as 1.707
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees.
Therefore, it has an opposite, adjacent and hypotenuse side depending on the angle.
oposite side = 29 m
adjacent side = 49.5 m
hypotenuse side = 57.4 m
Therefore,
cot φ = 1 / tan φ
Hence,
tan φ = opposite / adjacent
Therefore,
cot φ = adjacent / opposite
cot φ = 49.5 / 29
cot φ = 1.70689655172
cot φ = 1.707
learn more on right triangle here: https://brainly.com/question/14615710
The radius of the large sphere is times longer than the radius of the small sphere. how many times the volume of the large sphere is the volume of the small sphere?
The volume of the large sphere shown in the image is, 1/27 times the volume of the small sphere.
What is of volume of sphere?Volume of sphere is the amount of quantity, which is obtained by the it in the 3 dimensional space.
The volume of the sphere can be given as,
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Here, (r) is the radius of the sphere.
The radius of the large sphere is times longer than the radius of the small sphere. Here in the attached image,
The radius of the large sphere, 18.6 in.The radius of the small sphere is 6.2 in.The ratio of the volume of the large sphere to the volume of the small sphere is,
[tex]\dfrac{V_l}{V_s}=\dfrac{\dfrac{4}{3}\pi (18.6)^3}{\dfrac{4}{3}\pi (6.2)^3}\\\dfrac{V_l}{V_s}=\dfrac{18.6\times18.6\times18.6}{6.2\times6.2\times6.2}\\\dfrac{V_l}{V_s}=\dfrac{1}{27}[/tex]
Thus, the volume of the large sphere shown in the image is, 1/27 times the volume of the small sphere.
Learn more about the volume of sphere here;
https://brainly.com/question/22807400
Answer:
1/27
Step-by-step explanation:
Find the slope of the line containing the points (3,1) and (5,7).
3
As we know that slope is denoted by the letter m and is calculated by the formula:
[tex]\red{\boxed{\sf{Slope (m) \: = \: \dfrac{y_{2} \: - \: y_{1} }{x_{2} \: - \: x_{1}} }}} \: \bigstar[/tex]★ We have :
x₁ = 3x₂ = 5y₂ = 7y₁ = 1★ Putting the values :
[tex]: \: \longrightarrow \: \sf{Slope (m) \: = \: \dfrac{ 7 \: - \:1 }{5\: - \:3 } } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: \dfrac{6 }{5\: - \:3 } } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: \dfrac{6 }{2} } \\ \\ : \: \longrightarrow \: \sf{Slope (m) \: = \: \cancel\dfrac{6 }{2} } \\ \\ : \: \longrightarrow \: \pink{\bf{Slope (m) \: = \: 3 }}[/tex]
Additional Information :
★ Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]find tow rational number between –2 and 2
Answer:
i got you explain
Step-by-step explanation:
Two rational numbers between -2 and 2 are : 0 and 1.
or The two rational no are -1 and +1
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
→ first rational number
[tex] \tt{⇒ \frac{ ( { \cancel{-2}}+{ \cancel 2)}} {\cancel{2}}} \\ \\ \tt{⇒ \frac{ 0}{2} }\\ \\ \tt{⇒0} [/tex]
[tex] \pink{ \rule{60mm}{2.2pt}}[/tex]
→ Second rational number
[tex]\\ \tt{⇒ \frac{(-2+0)}{2}} \\ \\ \tt{⇒ \frac{ \cancel{-2}}{ \cancel{2}} }\\ \\ \tt{⇒-1} [/tex]
[tex]\rule{70mm}{3.9pt}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Sb pls help me with this question
Please help, I’m really bad at this
Answer:
true
Step-by-step explanation:
becuse if you put too penicils on the sides or top and bootem the points will never touch
-4x-4y=24, 3x+10=y
since y is already isolated in the second equation, we can substitute the y value subs 2 into 1.
Next I have to combine like terms????
[tex]-4x-4y = 24~~...(i)\\\\3x +10 = y~~....(ii)\\\\\text{Substitute}~ y = 3x +10~ \text{in eq (i):}\\\\-4x -4(3x+10) = 24\\\\\implies -4x -12x -40=24\\\\\implies -16x =24+40\\\\\implies -16x = 64\\\\\implies x =- \dfrac{64}{16}\\\\\implies x = -4\\\\\text{Substitute}~ x = -4 ~ \text{in equation (ii) to find y:} \\\\y=3(-4) +10 = -12 +10 = -2\\\\\text{Hence,}~(x,y) = (-4,-2)[/tex]
Paige is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-year loan at 5% simple interest. What is the difference in the amount of interest Paige would have to pay for each of these two loans?
Answer:
1%
NO Step-by-step explanation:
If bob has 200 birds and Jim has 300 birds how old is Emma
Answer:
400 birds im not sure though but you can try srry if im wrong
Step-by-step explanation:
400 comes after 300
what is the measure of XWV?
Answer:
Then the vertex is at (h, k) = (2, –3) and the value of p is –3. Since y is squared and p is negative, then this is a sideways parabola that opens to the left. This puts the focus 3 units to the left of the vertex.
vertex: (2, –3); focus: (–1, –3)
Step-by-step explanation:
25 points
Please help
Answer:
214°
Step-by-step explanation:
The external angle (marked 34°) is equal to half the difference of the arcs ACB and AB.
34° = 1/2(ACB -AB)
Together, the two arcs form a complete circle of 360°, so we have ...
34° = 1/2(ACB -(360° -ACB)) = 1/2(2ACB -360°)
34° = ACB -180° . . . . . . . . . . . . simplify
180° +34° = ACB = 214° . . . . . add 180°
The measure of arc ACB is 214°.
Answer please and leave an explanation too! thank you!
1. If the arc angle of a sector is doubled, then the area of the sector......
A. is half
B. remains the same
C. doubles (increases by a factor of two)
D. triples (increases by a factor of three)
E. quadruples (increases by a factor of four)
2. If the radius of a sector is doubled, then the area of the sector......
A. is half
B. remains the same
C. doubles (increases by a factor of two)
D. triples (increases by a factor of three)
E. quadruples (increases by a factor of four)
Answer:
1-C; 2-D.
Step-by-step explanation:
0) the common formula is:
area=π*r²;
1) according to the formula above the area of the sector C. doubles (increases by a factor two);
2) according to the formula the area of the sector D. quadruples (increases by a factor four).
In the figure shown, what is the measure of angle 2, if
angle 4 = 120 degrees?
Answer:
The measure of angle 2 = 120°
Step-by-step explanation:
angles 2 and 4 are two vertically opposite angles therefore they are equal to each other.
In other words,
angle 2 = angle 4 = 120
Shondra was unsure about what career to go into. Her high school counselor suggested a personal assessment to point out Shondra’s interests. The assessment revealed that Shondra is very passionate about justice and making sure that people stay safe and treat each other fairly. Shondra also enjoys physical fitness and can handle risky high-pressure situations well.
Shondra would be well suited for which career cluster. Select three options.
Answer:
lawer, Police officer criminal justice
Square root of 75x^2 y
[tex]\sqrt{75x^2 y}\\\\=\sqrt{75} \cdot x\sqrt y\\\\=\sqrt{25 \times 3} \cdot x\sqrt y\\\\=5\sqrt 3 \cdot x \sqrt y[/tex]
Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2
Answer:
y-6=(3/2)(x+6)
Step-by-step explanation:
Given:
slope = m = 3/2point = (x1,y1) = (-6,6)Point-Slope:
[tex]\displaystyle \large{y-y_1=m(x-x_1)}[/tex]
Substitute m = 3/2, x1 = -6 and y1 = 6:
[tex]\displaystyle \large{y-6=\dfrac{3}{2}[x-(-6)]}\\\displaystyle \large{y-6=\dfrac{3}{2}(x+6)}[/tex]
Therefore, the equation is y-6=3/2(x+6)
The formula for the perimeter of a rectangle is P = 2w + 2l. Write a formula that can be used to find the length, 1, in terms of P, and w.
f(x) = 4x + 3 and g(x) = x - 2. What is g(f(-6))?
Answer:
The answer is equal to -23.
Step-by-step explanation:
Please refer to the attachment below; I had issues posting the answer.
what is the solution to the equation
X-5=15
Answer:
X=20
Step-by-step explanation:
15+5 is 20 so that is the logical answer
Answer:
x = 20
Step-by-step explanation:
add 5 to both sides to isolate the variable "x"
=> x - 5 = 15
=> x - 5 + 5 = 15 + 5
=> x = 20
hope this helps!! p.s. i really need brainliest :)
Anyone know the Answer???
A figure has a vertices W(-2,4), and X(1,4. Find the coordinates of the figure after a dilation with a scale factor of 2. W(-4,83), X(2,8) W(-4,8), X(2,8)
Answer:
Step-by-step explanation:
Arrange the following fraction in ascending order 4/12 , 5/6 , 2/3 5/6
Answer:
4/12 2/3 5/6 5/6
Step-by-step explanation:
Write an algebraic expression The product of c and 3
Answer:
The answer is c3 or c x 3.
Step-by-step explanation:
Because the product in math is multiplication, the product of c and 3 would be c x 3.
Which expression is equal to 78?
8 ÷ 7
7−8
7 ÷ 8
8−7
Answer:
c)
Step-by-step explanation:
14
Select the correct answer from each drop-down menu.
A scientist conducted an experiment to measure the effect of apple cider vinegar on blood sugar levels. The scientist randomly selected
200 adults and randomly assigned them to two subject groups. The first subject group received an apple cider vinegar supplement, and the
second subject group received a placebo. The scientist was aware of which subjects were assigned to each group.
This experiment is
because
know which treatment group each subject is in
Answer:
The first one is blinded. I didn't get the other one though. The one that says "neither the subjects nor the researchers" is wrong.
Step-by-step explanation:
I use Plato.
The experiment is blindeded because the scientist know which treatment group each subject is in.
What is experiment?Experiment is the scientific approach to determine the properties of some sample by doing some research on it eg. By adding another material, or determination of hypothesis.
What is hypothesis?Hypothesis is the assumption which is made under some evidence which can be proceed further verification or by doing experiment on it.
From the question it is clear that the scientist wants to meassure the effect of apple cider vinegar subject on the blood sugar level.
So here the effect of apple cider vinegar subject on the blood sugar level is hypothesis.
From 200 randomly choosen young groups one half have taken apple cider where other half have taken placebo in order to clarify and study which group has taken which treatment and their effect in their blood sugar level.
Learn more about experiment
Here : https://brainly.com/question/5397388
#SPJ2
What is the slope of the line passing through the points (−3, −5) and (−1, −6)?
−43
−12
12
34
Answer:
- 1/2 = m
Step-by-step explanation:
slope m = (y1-y2) / ( x1-x2) = (-5 - -6) / ( -3 --1) = 1/-2
13. Which equations are true? Select All that apply
0 17.25= 7.25
0 17.251 = -7.25
0 17.251 = 17.251
O 1-7.25) = 7.25
0 -7.25) = -7.25
-
Answer: 0 17.251 = -7.25
0 17.251 = 17.251
Step-by-step explanation:
make sense
PLEASE HELP ME:) pleaseeeee
Answer:
2 miles
Step-by-step explanation:
On the graph, when Dorian caught up to Danielle, they were in the same place at the same time. This is where the solid and dashed lines on the graph intersect. Danielle is the solid line, look at the point of intersection they had both traveled 2 miles, which you can see on the vertical axis.
Someone help me please
HELP!! I only have one more try to get this problem correct.
Answer:
whats the problem
Step-by-step explanation: