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3 years ago

Find the area of a parallelogram with vertices at P(–8, –3), Q (–7, 3), R(–9, 3), and S(–10, –3).

Mathematics

1 answer:

pentagon [3]3 years ago

7 0

Check the picture below.

you can pretty much get the base and height right off the grid.

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Which linear equation would produce a y-intercept of (0, 5) and a slope of 7?

Dafna11 [192]

Answer:

y=7x + 5

Step-by-step explanation:

sub into y= mx + c

where m = slope/gradient (7)

and c = y-value of y-intercept (5)

7 0

2 years ago

Select the two values of x that are roots of this equation.

makkiz [27]

Answer:

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Step-by-step explanation:

Given :-

A quadratic equation is given to us.
The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

Given equation :-

$\implies 2x^2 + 7x +6=0$

Step 1: Find out the factors of 12 :-

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 : Breaking the middle term :-

$\implies 2x^2 + 3x+4x +6=0$

Step 3: Take out common from terms :-

$\implies x(2x + 3) +2(2x +3)=0$

$\implies ( x +2)(2x+3)=0$

Step 4 : Equate them with 0 :-

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Hence the correct options are C and D .

5 0

3 years ago

Solve the following equation. 4 - 7x 10 = 15 - 6x - 8

Oksana_A [137]

4-70=7-6x
-64-7=6x
-71=-6x
71/6=x

6 0

3 years ago

Read 2 more answers

A survey study is to be made to estimate the proportion of residents of a certain suburb who favor the construction of a public

lesya [120]

Answer: 601

Step-by-step explanation:

When the prior estimate of population proportion is not given , the formula we apply to find sample size :

$n=0.25(\dfrac{z^*}{E})^2$

, where z* = critical z-value

E=Margin of error

Given : Margin of error = 0.04

Confidence level = 95%

We know that , according to the z-table , the critical value for 95% confidence interval = z*= 1.960

Then, the required sample size : $n=0.25(\dfrac{1.960}{0.04})^2$

$n=0.25(49)^2$

$n=0.25(2401)=600.25\approx601$

Hence, the required minimum sample size = 601

4 0

4 years ago

Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the lengt

nlexa [21]

The simplified expression would be 3s + 15.

In order to find this we need to write an equation for the longest side. Since it's 3 more than twice as much as the smallest side (s), we can express it as 2s + 3. Now we simply add all 3 together and simplify.

2s + 3 + 12 + s -----> simplify

3s + 15

8 0

3 years ago