Answer:
Question 1: d. (3, 7)
Question 2: b. (5, 1)
Question 3: b. (6, –4)
Step-by-step explanation:
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
Add the equations.
7x = 21
x = 3
4(3) - y = 5
-y = -7
y = 7
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
Add the equations.
2d = 10
d = 5
5 + e = 6
e = 1
b. (5, 1)
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
4x + 3y = 12
-x + y = -10
Multiply the second equation by 4 and add to the first equation.
4x + 3y = 12
(+) -4x + 4y = -40
----------------------------
7y = -28
y = -4
-4 = x - 10
x = 6
b. (6, –4)
Given the points Q(-3, -4) and R(2, 0), find the coordinates of the point P on directed line segment QR that partitions segment QR such that the ratio of QP to PR is 2
Step-by-step explanation:
the answer in photo above
What is the product?
Answer:
-10d⁴ + 17d²s - 6s²
Step-by-step explanation:
Multiply using FOIL
First
-2d² * 5d² = -10d⁴
Outer
-2d² * -6s = 12d²s
Inner
s * 5d² = 5d²s
Last
s * -6s = -6s²
-------------------------
Together
-10d⁴ + 12d²s + 5d²s - 6s²
Combine like terms
-10d⁴ + 17d²s - 6s²
Pls urgent Will mark brainiest
Whats 2+2
Answer:
4 haha lol lol
Step-by-step explanation:
2+2 is 4 lol
A storage tank has a radius of x + 5 metres and a height of x metres. Determine the dimensions of the tank if the volume is 192π m 3 . Round your answers to two decimal places.
Answer:
that is the procedure above
Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545
The graph represents this relation (blank) the function that coincides with this relation is... select the correct answer from each drop down menu
Answer:
x = 5*|y|
Step-by-step explanation:
We know that the function is something of the form:
x = |a*y|
We know this because the vertex of the function is in the point where the value of the absolute part is zero, this is when y = 0
and:
x = |a*0| = 0
(0, 0)
Now let's look another point where the graph passes through to find the value of a.
We can see that the graph also passes through the point (5, 1) and (5, -1)
Then, when y = 1, we must have x = 5
Replacing these in our equation we get:
x = |a*y|
5 = |a*1|
5 = |a|
then we can have
Then we can rewrite:
x = |a*y| = |a|*|y| = 5*|y|
x = 5*|y|
The correct option is the last option.
x2 + y2 = 9
x + y = 2
Answer:
I think its 4,5. Not entirely sure but it makes sense
What is the measure of arc XZ?
ohh dear u still have school i have a holiday for two months
Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree
Answer: 13.8 m
Step-by-step explanation:
Given
From point A, angle of elevation is [tex]19^{\circ}[/tex]
From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]
Suppose the height of tree is h
From figure, we can write
[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]
Similarly
[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]
Deduce the value of h
[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]
Thus, the height of the tree is 13.8 m
Help pls , will give brainliest!
=======================================
Work Shown:
1 liter = 1000 mL
3 liters = 3000 mL
I multiplied both sides by 3.
Divide that result over 500 to get 3000/500 = 6
So she'll need to buy 6 cartons.
-------
You could also solve like this:
(1 carton)/(500 mL) = (x cartons)/(3000 mL)
1/500 = x/3000
1*3000 = 500*x ... cross multiply
3000 = 500x
500x = 3000
x = 3000/500 .... dividing both sides by 500
x = 6
m (slope) =
b ( y - intercept) =
x - intercept =
Answer:
Step-by-step explanation:
m = - 2
b = 4
x - intercept = 2
What is the distance between (4,6) and (9,15)?
Answer:
10.2956
Step-by-step explanation:
The distance between (4,6) and (9,15) is √87.
What is distance formula?The distance between the points P ([tex]x_1, y_1[/tex])and Q ([tex]x_2, y_2[/tex]) is
PQ = √[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])² , which is called the distance formula.
Given coordinates: (4,6) and (9,15)
Using distance formula:
=√[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])²
= √[tex](9 -5[/tex]) ² + ([tex]15 -6[/tex])²
=√[tex](4[/tex]) ² + (9)²
= √16 + 81
=√87.
Hence, the distance between (4,6) and (9,15) is √87 units.
Learn more about distance formula here:
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Two villages are 14km apart in real life. How far apart would they be on A map scale with 1:25000
Given:
Distance between two villages = 14 km
Map scale = 1:25000
To find:
The distance between the two villages on the map.
Solution:
Let the distance between the two villages on the map be x.
Map scale is 1:25000. So,
[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]
[tex]x=\dfrac{1}{25000}\times 14[/tex]
[tex]x=0.00056[/tex]
Therefore, the two villages are 0.00056 km apart on map.
Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).
Answer:
y = 5/3x + 48
Step-by-step explanation:
y2 - y1 / x2 - x1
28 - 8 / -12 - (-24)
20 / 12
5/3
y = 5/3x + b
8 = 5/3(-24) + b
8 = -40 + b
48 = b
For the function y = -2x + 4, the input is 3. What is the output?
Answer:
The output is -2 when the input is 3.
Step-by-step explanation:
You're actually being asked to evaluate y = -2x + 4 at x = 3. x is the 'input' and y is the 'output.'
At x = 3, y = -2(3) + 4 = -2
The output is -2 when the input is 3.
Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?
The diameter in the first step of the constructions divides each shape in half.
Three diameters are needed to construct each inscribed polygon.
The arc in step two of each construction divides the circle in half.
The line segments that form each shape are congruent to the diameter of the circle.
Answer:
the third option
Step-by-step explanation:
From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)
Answer:
Domain(-4,4) and Range:(-3,0)
Step-by-step explanation:
Because the graph goes through - 4 and 4
what is the volume of a cylinder in cubic in with a height of 11in and a base diameter of 6in
Answer:
311.01 in^3
Step-by-step explanation:
Volume of cylinder = pi*r^2*h
Volume of cylinder = pi*9*11=311.01 in^3
Please answer properly.
Answer:
1) [tex]b=6[/tex]
2) [tex]m=4[/tex]
3) [tex]p=12[/tex]
4) [tex]x=-1\frac{2}{6}[/tex]
Step-by-step explanation:
[tex]b+6=12[/tex]
subtract 6 from both sides
[tex]b=6[/tex]
---------->>>>
[tex]9m=32+4[/tex]
combine like terms
[tex]9m=36[/tex]
divide both sides by 9
[tex]m=4[/tex]
---------->>>>
[tex]21=p+9[/tex]
Subtract 9 from both sides
[tex]12 = p[/tex]
---------->>>>
[tex](10+5)+3x=0[/tex]
Add within the parenthesis
[tex]5+3x=0[/tex]
subtract 5 from both sides
[tex]3x=-5[/tex]
divide both sides by 3
[tex]x=-1\frac{2}{6}[/tex]
Hope this is helpful to you.
PLEASE HELP ANGLE OF TRIANGLE
Answer:
my last answer was why the sum of two known angles is equal to the exterior angle so now you can use the easier way:
add the two known angles.
41+107 = 148
that means the exterior angle is equal to 148
x=148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
The first thing that you want to do is find the missing angle on the inside of the triangle as that angle is supplementary (an angle that when put together it adds up to 180°). So,
In accordance to the triangle sum theorem all of the angles inside the triangle must add up to 180°. For this equation will call the missing interior angle n.
41+107+n=180
148+n=180
n=32
So with this we know that the interior angle is 32°, now all we have to do is subtract 180 by 32 as the X and angle n are supplementary angles
180-32 = 148°
And that is you’re answer!
A square picture is 8 inches on each side. It is scaled by 74%. What are the dimensions of the new picture
9514 1404 393
Answer:
5.92 inches on a side
Step-by-step explanation:
The new dimension is the original dimension multiplied by the scale factor.
(8 in)(74%) = 5.92 in
HELP RIGHT NOW AND ILL GIVE BRAINLY IF CORRECT
Answer:
-9
Step-by-step explanation:
[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]
Please help me. Study island is hard
Answer: 5/12
Step-by-step explanation:
13-7 = 5
16-4 = 12
Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6
Answer:
6xStep-by-step explanation:
9x - 3x
[When like terms are combined then as per statement they get subtracted]
= 6x (Ans)
Please help me, please and thank you it would mean a lot.
a 25% tip was payed on a 30$ meal what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
30 x 0.25= 7.50
Which equation does not describe a linear function?
y = 7
y = 2x2 – 5
2y = 3x - 9
4x – 6y = 13
Answer:
The second option
Step-by-step explanation:
All the other choices can be graphed as straight lines, but only the second option is a parabola
Answer:
y = 2x² – 5
Step-by-step explanation:
y = 2x² – 5 is not lineal function since x is raises to an exponent.
Is 24 a possible output value? Why or why not? Describe the dominan of this function. Describe the range of this function
Answer:
No solution is possible
Step-by-step explanation:
You failed to provide the function.
This question cannot be answered,
No, 24 is not a possible output value.
The domains are -2, 0, 3, and 11.
The range is -1, 4, 14, and 38.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function is given in the figure.
The outputs are -1, 5, 14, and 38.
The domain of the function is -2, 0, 3, and 11.
The range of the function is -1, 5, 14, and 38.
Thus,
24 is not a possible output value.
Domains are -2, 0, 3, and 11.
Range are -1, 4, 14, and 38.
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math subject
true or false about geometry and measurement Garde 6
true or false
two rays with the same end point from an angel
I will give u branilist
Answer:
True
Step-by-step explanation:
An angle is formed by two rays with a common endpoint. Each ray is called an arm of the angle. The common endpoint is called the vertex of the angle.
Answer:
false
Step-by-step explanation:
two rays with don't have the same end point from an angle
The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?
Answer:
1140 square inches
Step-by-step explanation:
The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?
Area of a Trapezoid
= 1/2(b1 + b2)h
b1 =
b2 =
h =
Hence, 1/2 (50 + 45) × 24
= 1/2 × 95 × 24
= 1140 Square inches