On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
Answer:
Step-by-step explanation:
Slope of line passing through (0, 3) and (3, -1) = (-1-3)/(3-0) = -4/3
Slope of any parallel to the line is also -4/3.
Point-slope equation for line of slope -4/3 that passes through (-3, 2):
y-2 = (-4/3)(x+3)
Please hurry! 8. Write in your own words what happens to the
coordinates in a figure when the following occur:
I don’t know how to explain it
Area and radius!! VUGGFYFYTFTYFYTFTYCYTCYTFYT
Answer:
1. (-2, 3) 7
2. (5, 8) 5
3. (-6, 1/2) 2/3
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2 where the center is at point (h, k) and the r is the radius. Find the values that would fit the numbers in parenthesis to find the center of the circle, and take the squareroot of the number on the right side of the equation to find the radius.
lmk if im wrong, hope this helps!
The answer choices are 11 1 2.48 6
Answer:
The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]
Now factor out the coefficient of the quadratic term:
[tex]h(t)=-5(t^2 -2t) + 6[/tex]
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]
Now take the balancing term out of the parenthesis:
[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]
Simplify:
[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
[tex](1, 11)[/tex]
Given the following equation answer each question below.
Is the following a growth or decay?
What is the domain?
What is the range?
What is the y-intercept? (enter answer as a point)
What is the asymptote? (enter answer as an equation)
Answer:
f(x)=
Step-by-step explanation:
Can someone help me find this
Answer:
it should be 90 degrees
Step-by-step explanation:
...........................
Forest rangers found that a 20 foot tree casts a 10 foot shadow. How tall is the
neighboring tree that casts an 8 foot shadow?
PLS I NEED RELLAY NEED HELP RIGHT NOW
Answer:
40%
Step-by-step explanation:
[tex]\frac{8}{20} = \frac{2}{5}[/tex]
[tex]\frac{2}{5} = 0.40[/tex]
0.40 = 40%
Brian invests £1800 into his bank account.
He receives 5% per year simp interest.
How much will Brian have after 6 years?
Answer:
≈£2412
Step-by-step explanation:
1800(0.05)^6
≈£2412
simplify 2(5+3x)+(x+10)
20+7x
just use the distributive property on 2(5+3x) then add x and 10
which angle is complementary to ∠4?
1. A company buys a digital scanner for $12,000. The value of the scanner is 12,000 (1 – 3) after n years. The
company has budgeted to replace the scanner when the trade-in value is $2,400. After how many years should the
company plan to replace the machine in order to receive this trade-in value?
The radius of a quarter circle is 3 millimeters. What is the quarter circle's area?
r=3 mm
Answer:
28.3mm
Step-by-step explanation:
3(3)=9(pi)= 28.274...
Answer: 9[tex]\pi[/tex], or more specifically, 28.26, or even more specifically, 28.2643.
Explanation:
To find the area of a circle, you need to do r squared x pi. Since pi repeats randomly infinitely, we are going to simplify it to 3.14. 3 squared or 3 x 3 equals 9. 9 x 3.14 = 28.26. Therefore, the area of the quarter is 28.26. If you want to find the answer without simplifying pi, it is approximately 28.2643. You can also write it as 9[tex]\pi[/tex].
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
CAN SOMEONE HELP MEEE PLEASEEEE
Answer:Third Person Objective
Help please ! ASAP !!!!!!!
Answer: (-3, -8) (0, 1) (-3, -8)
Step-by-step explanation:
So in the equation, y=3x+1, 1 is the y intercept (which is where the line goes through the y intercept, so graph a point at 0,1 (that also fills out the middle of the chart. 3 is the slope of the equation so then you have to use the slope and you will find 2, 7 as a point and -3, -8 as a point.
Hope that helps! :)
Are the ratios 12/30 and 20/50 equivalent
2. Find the value of x to the nearest degree.
A) 68
B) 22
C) 24
D) 66
Answer:
it would be 66 I hope this helps.
Evaluate the expression 4+x3. When x is 3.
a. 12
b. 36
c. 31
d. 49
??
Answer:
a
Step-by-step explanation:
[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{36} }[/tex]
Please show your work.
Step-by-step explanation:
[tex]\tt{} \frac{ \sqrt[3]{60} }{ \sqrt[3]{36} } [/tex]
[tex]\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } [/tex]
[tex]\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } \times \frac{ \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{ {3}^{2} } } [/tex]
[tex]\tt{} \frac{ \sqrt[3]{5} \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{3} \sqrt[3]{ {3}^{2} } } [/tex]
[tex]\tt{} \frac{ \sqrt[3]{5 \times {3}^{2} } }{ \sqrt[3]{3 \times {3}^{2} } } [/tex]
[tex]\tt{} \frac{ \sqrt[3]{5 \times 9} }{ \sqrt[3]{ {3}^{3} } } [/tex]
[tex]\tt{} \frac{ \sqrt[3]{45} }{3}[/tex]
[tex]\tt{}1.18563[/tex]
Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team: Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point P is 1.5 units to the left and 3 units down. From the origin, Q is 1.5 units to the left and 3 units up Which statement best describes the relationship between the positions of the two midfield players?
Answer:
yaaaaas i think it is c
Step-by-step explanation:
Answer:
Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.
Step-by-step explanation:
Hope this helped :)
Write the expression without the fraction bar.
A recipe for banana bread calls for 4 bananas for every 8 cups of sugar. What is the ratio of bananas to cups of sugar
Answer:
1:2 is the ratio
Step-by-step explanation:
I'm losing all my points cause i'm so du.mbbbbbbbb
Answer:
-1/3
Step-by-step explanation:
-1/2 is the answer and try to don't lose points next time.
Determine the missing side length:
I will give 25 points for the answer!!!!!!!!
Answer:
3
Step-by-step explanation:
Use Pythagorean theorem
Base²+ altitude² = hypotenuse²
Base² + (√3)² = (2√3)²
Base² + √3 *√3 = 2√3 *2√3
Base² + 3 = 4*3
Base² + 3 = 12
Base² = 12 - 3
Base² = 9
Base = [tex]\sqrt{9}=\sqrt{3*3} =3[/tex]
a rectangular container, 12 cm long and 10 cm wide, is filled with water to a depth of 5 cm. find the volume of water in the container.
Plz i need help ASAP!!!!
Thank you!
Answer:
600 cm³
Step-by-step explanation:
12 x 10 = 120
120 x 5 = 600
can anyone help this is confusing??
Answer:
volume is just defined as multplying all the sides and is alot different from surface area, so it would be 1/5x1/5x/14 which is 1/100
Step-by-step explanation:
question should show! if it doesn't let me know
Answer:
there are 6 faces
Step-by-step explanation:
there are 4 faces around and 1 on to and 1 on the bottom
Triangle DEG is congruent to triangle?
Answer:
ΔDEG ≅ ΔFGE
Side-Angle-Side
Step-by-step explanation:
DG ║ EF because DG⊥DE and GF⊥EF
∠DGE ≅ ∠FEG because alternate interior angles of parallel lines are congruent
so Side-Angle-Side proves congruency
Which expressions are equivalent to the given expression?
Answer:
(a). and (b).
Step-by-step explanation:
Simplify Square Roots -
Find one perfect square and one imperfect square to multiply to the square root.
[tex] \sqrt{4 \times 10} = 2 \sqrt{10} [/tex]
[tex]40^{ \frac{1}{2} } = \sqrt[2]{(40) ^{1} } = \sqrt{40} [/tex]
[tex] \sqrt{40} \neq 4 \sqrt{10} [/tex]
[tex]160 ^{ \frac{1}{2} } = \sqrt[2]{160 ^{1} } = \sqrt{160} \neq \: \sqrt{40} [/tex]
[tex]5 \sqrt{8} \neq \: \sqrt{40} [/tex]
Item 11 Which points divide overline AB into segments with lengths in the ratios 1:3 or 3:1?
Answer:
(9, 2)
Step-by-step explanation:
What point divides the directed line segment AB¯¯¯¯¯ into a 3:1 ratio?
coordinate plane with segment A B with A at (0, 2) and B at (12, 2)
(3, 2)
(4, 2)
(8, 2)
(9, 2)
Solution:
If point O(x, y) divides the line segment AB with endpoints A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio n:m, the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Let us assume C(x, y) is the point that divides segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:
[tex]x=\frac{3}{3+1}(12-0)+0=\frac{3}{4}(12)=9 \\\\y=\frac{3}{3+1}(2-2)+2=\frac{3}{4}(0)+2=2[/tex]
Therefore the coordinate of point C is at (9, 2).