Answers
You are given either the x value or the y value.
Replace the x or y in the equation and solve for the missing values.
-4x + 5y = 3
First you are given x = 0:
So you have -4(0) + 5y = 3
Simplify:
0 + 5y = 3
Divide both sides by 5:
y = 3/5
Next you have x = 1:
-4(1) + 5y = 3
Simplify:
-4 + 5y = 3
Add 4 to both sides:
5y = 7
Divide both sides by 5:
y = 7/5
Third you are given y = 3
-4x + 5(3) = 3
Simplify:
-4x +15 = 3
Subtract 15 from both sides:
-4x = -12
Divide both sides by -4:
x = 3
Related Questions
Complete the square in order to solve the following quadratic equation:
x^2 + 6x = −2
Answers
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
or
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
We can see that
x
2
=
a
2
and
2
a
b
=
6
x
So all we need to condense this into
(
a
+
b
)
2
is a
b
2
term
We know that
2
b
=
6
as
x
=
a
so
b
=
3
and
b
2
=
9
So if we put the
b
2
term in we get
x
2
+
6
x
+
9
−
9
=
(
x
+
3
)
2
−
9
We include the
±
9
because we have to net add nothing to the equation so
9
−
9
=
0
so we really haven't added anything
Please does anyone know the answer to this question??
Answers
9514 1404 393
Answer:
126°
Step-by-step explanation:
To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.
(5x -6) +(3x) = 90
8x = 96 . . . . . . . . . . . add 6, collect terms
x = 12 . . . . . . . . . . . . . divide by 8
3x° = 3·12° = 36° . . . . . . find the "remote" acute angle
exterior angle = 90° +36°
exterior angle = 126°
__
The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.
On a coordinate plane, a circle has a center at point (negative 6, 4).
What is the equation of the circle shown in the graph?
Answers
Answer:
[tex] {x}^{2} + {y}^{2} + 12x - 8y + 4 = 0[/tex]
Answer:
1:x+6 2:y-4 3:36
Step-by-step explanation:
just did it :)
Which statement about these triangles is true?
Pre-Image
Image
12 + 3
12
5
5+3
Answers
Answer:
The answer will be B
Step-by-step explanation:
Help me please!! ;okxjda.sdfajskndmf
Answers
Answer:
133
Step-by-step explanation:
2(_9)^2=162
3(-9)=-27
2(-9)^2 +3(-9)-2= 162-27-2=133
solve the system of equations by adding. check your answer.
Answers
Answer:
x+12y=40
Step-by-step explanation:
the question itself says by adding
Please help !! I will give you brainliest!!
Explain each step you took to solve this question.
Given: Angle ^HMA is bisected by MT.
HT = MT
Find the measure of angle ^MAT.
Answers
Answer:
angle MAT=48
Step-by-step explanation:
angle H = 44
angle M = 88
angle A = 48
triangle HTM is an isosceles triangle which means its other two angles are congruent and to find those two measurements we do (180-92)/2=44MT bisects, meaning split equally in half, so we multiply 44 by 2 and now we have angle measures of H&M180-(H+M)= AFind the surface area of a square pyramid with side length 5 ft and slant height 7 ft.
5 ft
5 ft
Answers
Answer:
99.33ft^2
Step-by-step explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2
Answer:5x5=25 fts
4(1/2 x 5ft x7 ft) = 70 fts
Add them up and you get
Answer= 95fts
Step-by-step explanation:
If the length of a rectangle is 16 cm and breadth is 7 cm, the area in square centimetres will be
Answers
Answer:
the answer is 112 mate hope u got ur answer
I dont know how to do this pls help me
Answers
Answer:
5) x = 0.75
6) x = 12
Step-by-step explanation:
5)
Use geometric mean of altitude
[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]
6)
Use geometric mean of legs
[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]
The product of five times p and seven times q is
Answers
Answer:
Step-by-step explanation:
(5p)(7q)=35pq
Answer:
The product of five t imes p and 7 times q is just:
5p(7q), which is 42pq
Let me know if this helps!
PLEASE HELP!!! Find the value of the variable.
Answers
9514 1404 393
Answer:
q = 9
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
q/36 = (16 -q)/28
7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)
16q = 16(9) . . . . . . . . add 9q to both sides
q = 9 . . . . . . . . . . . . . divide by 16
_____
Additional comment
We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.
(q/36) = 16/(36+28)
q/36 = 16/64 = 1/4
q = 36/4 = 9
help me pls thank u <3
Answers
For the function f(x)
8 Vas - 8. find / -'(X).
9
+8
of-'() = (9)
O/(x) = 9(+8)
O!'(x) = (18)
Of(x) = 9(2+8)
8
Submit Answer
Answers
Given:
The function is
[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
To find:
The inverse function [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
Step 1: Putting f(x)=y, we get
[tex]y=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{8\sqrt[3]{y}-8}{9}[/tex]
Step 3: Isolate variable y.
[tex]9x=8\sqrt[3]{y}-8[/tex]
[tex]9x+8=8\sqrt[3]{y}[/tex]
[tex]\dfrac{9x+8}{8}=\sqrt[3]{y}[/tex]
Taking cube on both sides, we get
[tex]\left(\dfrac{9x+8}{8}\right)^3=y[/tex]
[tex]y=\left(\dfrac{9x+8}{8}\right)^3[/tex]
Step 4: Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3[/tex]
Therefore, the correct option is C.
Which equation represents a line which is parallel to the line 4x-5y=30
Answers
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answers
Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
3x +11+7x
Pls help I want to learn this
Answers
Answer:
3x +7x +11=10x+11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Group like terms:
=3x+7x+11
Add similar elements: 3x+7x=10x
=10x+11
Beth took out a 12-year loan for $35,000 for a new pool. If the interest rate is 10.2%, how much will she pay in interest?
Answers
Answer:
35000×10.2%=3570 Interest will be paid
35000+3570=38570 full amount will be paid in the bank
The two figures are similar. Find the missing
dimension. Round to the nearest tenth if
necessary.
Answers
Answer:
4 in
Step-by-step explanation:
For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.
So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16
Please help me with this please!!
Answers
9514 1404 393
Answer:
135°
Step-by-step explanation:
In order to answer the question, we must assume that the black lines are parallel to each other.
The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.
∠2 +∠8 = 180°
15x +5x = 180°
x = 180°/20 = 9°
∠2 = 15x = 15(9°) = 135°
Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.
∠3 = 135°
SOMEONE PLEASE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!! HELPPPPPP MEEEEEEE !!!!!
Answers
Answer:
(-2,-3)
Step-by-step explanation:
A=(8,-5)
M=(3,-4)
The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.
B=(-2,-3)
Find value of X
Thank you
Answers
Answer:
x = 98
Step-by-step explanation:
If angle D is the center then
x + 4 = 2 × (x - 47)
x + 4 = 2x - 94
4 + 94 = 2x - x
98 = x
3-4(12 divided by 6)
Answers
Answer:
The answer is -2
Step-by-step explanation:
First we divide 12 by 6.
12/6 = 2
Next we subtract 3 by 4.
3 - 4 = -1
Now we solve.
-1 * 2 = -2
So, the answer is -2.
Hope this helps! :)
Answer:
3
Step-by-step explanation:
Do 12/6 first and you get 2 and then you do 3-4 and you get 1
Is 121,031 divisible by 3?
Answers
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answers
Answer:
n=42, m=42[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.
An angle measures 32 degrees. Through what fraction of a circle does the angle turn? I need help !!!!!!!!
Answers
Answer:
4/45
Step-by-step explanation:
The sum of angles in a triangle is 360 degrees
If the angle measures 32 degrees, the fraction can be represent as 32/360
32/360 has to be converted to its simplest form. To this divide both the numerator and the denominator by 8. This gives 4/45
Each morning, Lena leaves her house at 6:15 A.M. It takes Lena 5 minutes to walk to the bus stop. Lena rides the bus for 20 minutes and then walks 5 minutes to her office. What time does Lena arrive at work?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Will give brainiliest
Answers
Answer:
6:45
Step-by-step explanation:
5 minutes + 20 minutes +5 minutes= 30 minutes
Answer:
6:45 A.M.
Step-by-step explanation:
6:45 A.M. is exactly 30 minutes after 6:15 A.M., which is how long it takes her to walk to the bus stop, ride the bus, and walk to work.
Stay safe! <3
HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?
Answers
Answer:
Step-by-step explanation:
4(23ft)($1.12/ft)=$103.04
how long would a rock that weighs 2 pounds take to fall 99 feet
Answers
Answer:
When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.
Step-by-step explanation:
What is the slope of y = -4x – 3
Answers
Answer:
-4
Step-by-step explanation:
bc the equation is y=mx+b and m is y/x so -4