Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
-10 + 12 = 2
2 = 2
Your answer is correct.
Hope this helps!
help me solve this please
[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]
parallel sides measure :
10 ft -(a)12 ft. -(b)Area :
44 ft²height (h) = x
___________________
[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]
[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex][tex] \dfrac{1}{2} \times 22 \times x = 44[/tex][tex]11x = 44[/tex][tex] \boxed{ 4 \: \: ft}[/tex]Therefore, height of Trapezoid is 4 ft
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Isabel has a basket of fruit with 3 apples, 6 bananas, 5 oranges, 4 pears, and 2 peaches. She wants to share the fruit with 4 of her friends. How many pieces of fruit will each person get?
Answer:
15/182
Step-by-step explanation:
the 1st one is 5/14 and the 2nd one is 3/13
5/14*3/13 = 15/182
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
Tan?cos? Sin? What is the m
Answer:
45º
Step-by-step explanation:
Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
6.) Evaluate the expressions below for the given values.
a. 2x + (x – 6) for x = 14
b. n 2+ n + 1 for n = 8
c. (r – 10)(r + 2) for r = 13
20 POINTSS
Answer:
Answer below. Hope it helps.
Step-by-step explanation:
a. 2x + (x - 6) {x = 14}
= 2*14 + (14 - 6)
= 28 + 8
= 36
b. n² + n + 1 {n = 8}
= 8² + 8 + 1
= 64 + 9
= 73
c. (r - 10) (r + 2) {r = 13}
= (13 - 10) (13 + 2)
= 3 * 15
= 45
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answer:
a edge 2021
Step-by-step explanation:
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?
Answer:
Deserea ate more
Step-by-step explanation:
One dozen equals 12
Carla ate 1/4 of it
1/4×12/1=3
Carla ate 3 cookies
Deserea ate 1/2
1/2×12/1=6
Deserea ate 6
6 is greater than 3 so Deserea ate more
Solve the system by eliminating one of the variables by addition or subtraction
2x-y=4
3x+y=6
Answer:
(2,0)
Step-by-step explanation:
2x-y=4 equation 1
3x+y=6 equation 2
5x=10 eliminate y by adding equations
x=2
solve for y
2x-y=4
2(2)-y=4
4-y=4
-y=0
y=0
check answer:
3x+y=6
3(2)+0=6
6=6
Victor works for on a farm Mon to Fri. He is paid $6250 per month (before tax). Calculate Victor's annual salary.
Please Help!! Thanks in advance!
Given:
The equation is:
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
To find:
The value of y.
Solution:
We have,
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
On cross multiplication, we get
[tex]y(p+q)=y(p-q)[/tex]
[tex]yp+yq=yp-yq[/tex]
[tex]yp+yq-yp+yq=0[/tex]
[tex]2yq=0[/tex]
Dividing both sides by 2q, we get
[tex]\dfrac{2yq}{2q}=\dfrac{0}{2q}[/tex]
[tex]y=0[/tex]
Therefore, the correct option is A.
x + 2y = 10
x + 3y = 15
Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?
Find the area of the figure.
14 m
5 m
16 m
Answer:
Step-by-step explanation:
Seperate the shape into two. 16x2=32cm². 12x11=132cm²
So altogether it would = 164cm²
9/11÷5/6 divide the following . simply your answer
please help me
(9/11)÷(5/6)
= 9/11×6/5
= 54/55
I need some help with this question.
Answer:
166
Step-by-step explanation:
hope this helps I'm not 100% though
Answer:
166mm²
Step-by-step explanation:
Given:- prism
[tex]L=5mm[/tex]
[tex]B=4mm[/tex]
[tex]H=7mm[/tex]
Surface area of prism = (LB+BH+HL)
[tex]2(5*4+4*7+7*5)[/tex][tex]2(20+28+35)[/tex][tex]2(83)[/tex][tex]166mm^2[/tex]☆ꨄ︎──᪥──᪥──ꨄ︎☆
hope it helps...
have a great day!!
hey what's the answer ?
[tex] \sqrt{56 + ( - 7)} [/tex]
(╯︵╰)
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex] \sqrt{56 + ( - 7)} \\ = > \sqrt{56 - 7} \\ \\ = > \sqrt{49} \\ = > 7 [/tex]
[tex] \sqrt{56 + ( - 7)} [/tex]
[tex] \sqrt{49} [/tex]
[tex] \sqrt{7²} [/tex]=±7
is your answer
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent
the number of hours he worked in June. Which expressions represent the amount of money, in dollars, Carlos
earned in May and June? Select all correct answers.
Answer: 11z + 11y
Step-by-step explanation:
Carlos earns his pay by the hour. That means that to find the cash made in a given month, the formula is:
= Carlos payment per hour * Number of hours worked in a month
In May he worked z hours:
He earns $11 per hour and works z hours, expression for earnings for the month is:
= 11 * z
= 11z
In June he worked y hours:
= 11 * y
= 11y
The total he earned in both May and June is:
= 11z + 11y
The expressions represent the amount of money, in dollars, Carlos earned in May and June is 11z + 11y.
Given that,
Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent the number of hours he worked in June.Based on the above information, the calculation is as follows:
For May it is 11z
For June it is 11y
So, total it should be
11z + 11y
Learn more: https://brainly.com/question/24908711?referrer=searchResults
Triangle DEF is shown on the coordinate grid below triangle DEF is reflected across the Y axis which role best describes this transformation
Answer:
I can’t see the picture
Step-by-step explanation:
Which is the best estimate for √34 to the nearest whole number
Answer:Other than using a calculator to get an approximate value (
5.83
) for
√
34
,
√
34
can not be simplified
Step-by-step explanation:The only factors (
>
1
) of
34
are
2
and
17
Since neither of these are a square,
√
34
has no simplification.
Deltamath
Please help me I need help!!!!
⚠️Due today!!⚠️.
Answer:
(7,4)
Step-by-step explanation:
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
Learn more about linear equations at https://brainly.com/question/11897796
#SPJ2
Ask.
Find the area of quadrilateral ABCD. (Hint: the diagonal divides the quadrilateral into two triangles.]
А
7.84
4.57
3.42
horas
D
4.39
С
A. 14.89 units
B. 11.09 units
C. 17.46 units
D. 18.22 units?
Answer:
[tex]A) 14.89~ units[/tex]
Step-by-step explanation:
[tex]AD=C=3.42~, AC=d=4.57, ~CD=a=4.39[/tex]
[tex]S=\frac{C+d+a}{2} =\frac{3.42+4.57+4.39}{2} =6.19[/tex]
[tex]Using ~ heron's~ formula:[/tex]
[tex]Area~ of ADC~is:[/tex]
⇒ [tex]\sqrt{s(s-c)(s-d)(s-a)}[/tex]
⇒ [tex]\sqrt{6.19(6.19-3.42)(6.19-4.57)(6.19-4.39)}[/tex]
⇒ [tex]\sqrt{6.19*2.77*1.62*1.8}[/tex]
⇒ [tex]\sqrt{49.9986}[/tex] ⇒ [tex]7.071[/tex]
[tex]Area ~of ~ ABD ~is:[/tex]
⇒ [tex]\sqrt{s(s-d)(s-b)(s-a)}[/tex]
⇒ [tex]\sqrt{8.35(8.35-7.84)(8.35-3.42)(8.35-5.44)}[/tex]
⇒ [tex]\sqrt{8.35*0.51*4.93*2.91}[/tex]
⇒ [tex]\sqrt{61.0937}[/tex] ⇒ [tex]7.816[/tex]
[tex]So, Area ~ of ~quadrilateral~ ABCD ~ =[/tex]
[tex]A=Area ~of ~ADC+Area ~ of ABD:[/tex]
[tex]A=7.071+7.816[/tex]
[tex]A=14.89 ~units^2[/tex]
-----------------------
hope it helps...
have a great day!!
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation?
Answer:
there's not options :/ nobody can answer this
(b) Jac thinks of a number,
25% of his number is 35.
What is 1/10 of Jac's number?
Answer:
14
Step-by-step explanation:
35 = 25%
35(4) = 100%
140 = 100%
140 x .10 = 10%
14 = 10%
Find the area please :)
Answer:
it's area is 1/2 b×h
1/2×7×3.8
13.3
Answer:
13.3 ft^2
Step-by-step explanation:
area = base x h / 2
A = 7 x 3.8 / 2
A = 26.6 / 2
A = 13.3 ft^2
PLEASE HELP
the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow
Answer:
Step-by-step explanation:
what